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G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                   (IJERA)           ISSN: 2248-9622     www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.2021-2027
Thermal Analysis Of A Gas Turbine Rotor Blade By Using Ansys
 G.NARENDRANATH(M.Tech)1                                 S.SURESH M.Tech (Assoc. Proff)2
 SIDDHARTH INSTITUTE OF ENGINEERING                       SIDDHARTH INSTITUTE OF ENGINEERING
  AND TECHNOLOGY PUTTUR, CHITTOOR                          AND TECHNOLOGY PUTTUR, CHITTOOR
             DIST, INDIA                                              DIST, INDIA


Abstract
         In the present work, the first stage rotor     component parts has been made so far mainly on the
blade off the gas turbine has been analyzed using       automotive and marine turbochargers, centrifugal
ANSYS 9.0 for the mechanical and radial                 compressors. We have made analysis of the stress
elongations resulting from the tangential, axial        caused by external force and pressure, analysis of
and centrifugal forces. The gas forces namely           thermal stress caused by heat and analysis of
tangential, axial were determined by constructing       vibrations caused by natural frequency in the
velocity triangles at inlet and exist of rotor          compressor impeller, turbine impellers and rotors as
blades. The material of the blade was specified as      rotary parts., Sanford Fleeter, were done on the
N155. This material is an iron based super alloy        Fatigue life prediction of turbomachine blading(2),
and structural and thermal properties at gas            T.Madhusudhan,        Need for analysis of stress
room and room temperatures The turbine blade            concentration factor in inclined cutouts of gas
along with the groove blade is modeled with the         turbine blades (3), M.Pradeep, Naveen Babu
3D-Solid Brick element. The geometric model of          Chandu, Influence of taper, twist and thickness in
the blade profile is generated with splines and         rotor blades using Finite Element Analysis(4), Stuart
extruded to get a solid model in CATIAV5R15.            Moffaty, Li He Blade forced Response prediction fro
The first stage rotor blade of a two stage gas          industrial gas turbines(5), M.Venkatarama Reddy,
turbine has been analyzed for structural, thermal       additional Director CVRaman nagar, Bangalore (6)
and modal analysis using ANSYS 9.0 Finite               describes the influence of taper, twist, thickness in
Element Analysis software. The gas turbine rotor        rotor blade using Finite element analysis. Turbo
blade model is meshed in HYPERMESH 7.0,                 machine rotor blades are subjected to different types
meshing software. The thermal boundary                  of loading such as fluid or gas forces, inertia loads
condition such as convection and operating              and centrifugal forces, Dr. K. Ramachandra,
temperatures on the rotor blade is obtained by          Director, Gas Turbine Research Establishment,
theoretical modeling. Analytical approach is used       Bangalore, (7) describes need for analysis of stress
to estimate the tangential, radial and centrifugal      concentration factor in inclined cutouts of gas
forces. The results obtained are discussed and          turbine blades, aero engine gas turbine blades are
reported.                                               aerofoil in cross section and are twisted mounted on
                                                        annular plate, which in turn is fixed to rotating disc.
Keywords-ANSYS,              CATIA           V5R15,     Blades operate at very high speed and temperature
HYPERMESH 7.0                                           leading to induction of respective stresses. For air-
                                                        cooling purpose, blades are provided with number of
I INTRODUCTION                                          minute cooling holes (0.5 to 0.8 mm) on the hollow
          The purpose of turbine technology are to      walls of the blades through which pressurized air is
extract the maximum quantity of energy from the         ejected. Holes are oblique, oriented at compound
working fluid to convert it into useful work with       angles and are stress raisers and lower the resistance
maximum efficiency by means of a plant having           of the blade to thermal and mechanical fatigue.
maximum reliability, minimum cost, minimum
supervision and minimum starting time.                  II WORKING OF THE GAS TURBINE
          The gas turbine obtains its power by                   A gas turbine is an engine where fuel is
utilizing the energy of burnt gases and the air which   continuously burnt with compressed air to produce a
is at high temperature and pressure by expanding        steam of hot, fast moving gas. This gas stream is
through the several ring of fixed and moving blades.    used to power the compressor that supplies the air to
Mikio Oi, Mariko Suzuki Natsuko Matsuura some of        the engine as well as providing excess energy that
the experiments done on the structural analysis and     may be used to do other work. Turbine compressor
shape optimization in turbocharger development(1)       usually sits at the front of the engine. There are two
In this comparison between conventional method          main types of compressor, the centrifugal
and computer aided engineering is done. It is           compressor and the axial compressor. The
essential to incorporate the Computer Aided             compressor will draw in air and compress it before it
Engineering in the turbocharger development and         is fed into the combustion chamber. In both types,
design process. Structural analysis of there            the compressor rotates and it is driven by a shaft that



                                                                                              2021 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                   (IJERA)           ISSN: 2248-9622     www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.2021-2027
passes through the middle of the engine and is            detailed study can be carried out on the temperature
attached to the turbine as shown in fig 1.1               effects to have a clear understanding of the
                                                          combined mechanical and thermal stresses.

                                                          B. VIBRATION OF BLADES
                                                                   If a blade of an assembly of blade is acted
                                                          upon by an instantaneous force free vibrations are
                                                          setup because of the inherent resilience of the blade
                                                          or blade assembly. The frequency of these vibrations
                                                          depends on the dimensions of the blade or blade
                                                          assembly as well as their method of mounting on the
                                                          discs. Moving blades in turbine are subjected to time
                                                          variable loads in addition to the static loads.
                                                     .
Fig 1.1 Indicator diagram of gas turbine                  C. PRODUCTION OF BLADES: -
                                                          Blades may be considered to be the heart of turbine
A.       CONSTRUCTION               OF      TURBINE       and all other member exist for the sake of the blades.
ROTOR BLADES AND THEIR COMPONENTS                         Without blading there would be no power and the
         Knowing the fluid conditions at exit of the      slightest fault in blading would mean a reduction in
gas generators, a value of static pressure was            efficiency and costly repairs.
assumed at the turbine outlet. From this, the
corresponding enthalpy drop required in the power         D.TURBINE BLADE ATTACHMENT: -
turbine was calculated. The limitation in fixing the               The attachment of the turbine blade to the
velocity triangles come from the peripheral speed of      rotor is the most critical aspect of gas
rotor and flow velocities. It is preferable to keep the   turbine.design.All the forces are transmitted through
both in reasonable range so as to minimize the            the attachment to the rotor. Especially at the low-
losses.                                                   pressure end of turbine of large output, the
         After the primary fixing of velocity             attachment has to bear relatively large forces due to
triangles between the axial gaps of the turbine blade     high speed; the centrifugal force on the blade is
rows, the blade profile is selected. In blade section     many times its mass. It is therefore necessary to
there are two approaches, the direct and indirect         estimate the stresses in the attachment, but
approach. The blade profile selected should yield the     sometimes it is very difficult to get the exact values.
flow angle required to give the desirable enthalpy
drop. Also the pressure distribution at the end of                 There is always the possibility of stress
stage should be uniform. If it is not so the blade        concentration at the sharp corners. Therefore
angles are changed to match these requirements.           selection of material is very important which can be
                                                          safeguard from this stress concentration.




                                                          E. BRAYTON CYCLE COMPONENTS:
                                                                   Gas turbines usually operate on an open
                                                          cycle, as shown in Figure 1. Fresh air at ambient
                                                          conditions is drawn into the compressor, where its
                                                          temperature and pressure are raised. The high-
                                                          pressure air proceeds into the combustion chamber,
Fig 1.2 CONSTRUCTION OF TURBINE                           where the fuel is burned at constant pressure.
ROTOR AND THEIR COMPONENTS
         The gas turbine have been taken from the
preliminary design of a power turbine. As the
temperature has a significant effect on the overall
stresses in the rotor blade, it has been felt that a



                                                                                                2022 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                    (IJERA)           ISSN: 2248-9622     www.ijera.com
                   Vol. 2, Issue 5, September- October 2012, pp.2021-2027
                                                            C. SOLID 95 3D 20-NODE STRUCTURAL
                                                                SOLID ELEMENT
                                                                     Solid 95 is higher order version of the 3-D
                                                            8-node solid element. It can tolerate irregular shapes
                                                            without as much loss of accuracy. Solid 95 elements
                                                            have compatible displacement shapes and are well
                                                            suited to model curved boundaries The element is
                                                            defined by 20 nodes having three degrees of freedom
                                                            per node, translations in the nodal x, y, and z
                                                            directions.




Fig: 1.3 Open & Closed Cycle of Gas Turbine

II. FINITE           ELEMENT               METHOD
   FORMULATION
A. FINITE ELEMENT METHOD
         The finite element method is a numerical
analysis technique for obtaining approximate
solutions to a wide variety of engineering problems.
Although originally developed to study stresses in
complex airframe structures, it has since been              Fig:1.6 Solid 95 3-D structural solid
extended and applied to the broad field of continuum        SOLID 95 INPUT SUMMARY
mechanics.                                                  Element Name Solid 95

                                                            Nodes             I, J, K, L, M, N, O,

                                                            P,Q,R,S,T,U,V,V,W,X,Y,Z,A,B

                                                            Degrees of Freedom         UX,UY,UZ
                                                            Real constants             None
Fig: 1.4 Discretizations Of Turbine Blade Profile           Material                                      Properties
                                                                     EX,EY,EZ(PRXY,PRYZ,PRXZ
B. PLANE          82TYPE        2-D       8-NODE                                   NUXY,NUYZ,NUXZ)
    STRUCTURAL SOLID ELEMENT                                                       ALPX,ALPY,ALPZ,DENS
         Plane 82 is a higher order version of the          Surface loads              Pressure
two dimensional four-node element. It provides              Body loads                 Temperatures
more accurate results for mixed (quadratic-                 Special features Plasticity, creep, stress stiffening,
triangular) automatic meshes                                                       large deflection, and large
                                                            strain.
Fig: 1.6 plane 82 2-d structural solid
and can tolerate irregular shapes without as much           IV.EVALUATION OF GAS FORCE ON
loss of accuracy.                                           THE ROTOR BLADES
Element Name              Plane 82                                    Gas forces acting on the blades of the rotor
Nodes                     I, J, K, L, M, N, O, P            in general have two components namely tangential
Degrees of Freedom        UX, UY                            (Ft) and axial (Fa). These forces result from the gas
Real constants            none                              momentum changes and from pressure differences
MaterialProperties       EX,EY,EZ                           across the blades. These gas forces are evaluated by
        PRXY,PRYZ,PRXZ                                      constructing velocity triangles at inlet and outlet of
        NUXY,NUYZ,NUXZ)                                     the rotor blades.
        ALPX,ALPY,ALPZ,DENS
                                                            A. EVALUATION OF GAS FORCES ON THE
Surface loads                  Pressure                        FIRST STAGE ROTOR BLADE
Body loads                    Temperatures                  At the inlet of the first stage rotor blades,
Special features                Plasticity, creep, stress   Absolute flow angle α2 = 23.850
stiffening, large deflection, and large strain.             Absolute velocity V2 = 462.21 m/s
                                                            The velocity triangles at inlet of first stage rotor
                                                            blades were constructed


                                                                                                     2023 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                   (IJERA)           ISSN: 2248-9622     www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.2021-2027
                                                      blade. The rotor blade was analyzed for mechanical
                                                      stresses,   temperature      distribution,   combined
                                                      mechanical and thermal stresses and radial
                                                      elongations, natural frequencies and mode shapes.
                                                      Element Type 1: 8 node quadrilateral element
                                                      Element type 2: 20 node Brick solid element.
                                                      The following material properties were defined in the
                                                      material property table named as material type 1.
                                                      Young’s Modulus of Elasticity (E) = 2e5 N/mm2
                                                      Density (ρ)                              = 7136.52 e-9
                                                      T/mm3
                                                                Coefficient of thermal expansion (α ) =
Fig: 1.7 Inlet velocity triangles of I-stage rotor    6.12e-6 /0C
blades                                                The aerofoil profile of the rotor blade was generated
Diameter of blade midspan D = 1.3085 mt.              on the XY plane with the help of key points defined
Design speed of turbine N = 3426 r.p.m.               by the coordinates as given below. Then a number of
Peripheral speed of rotor blade at its midspan U =    splines were fitted through the keypoints. A rectangle
πDN/60                                                of dimensions 49*27 mm
From the velocity triangles in fig we get,
Whirl velocity Vw2 = 422.74 m/s
Flow Velocit, Vf2 = 186.89 m/s
Relative velocity, Vr2 = 265.09 m/s
Blade angle at inlet, θ2 = 135.017 0
At the exit of first stage rotor blades,
Flow velocity, Vr3 = 180.42 m/s
Relative flow angle, θ2 = 37.88 0

B. EVALUATION OF GAS FORCES ON
    SECOND STAGE ROTOR BLADES
           The gas forces and power developed in
second stage rotor blades were evaluated using the
same procedure and similar equations that were used
for first stage rotor blades                          Fig 1.9 Boundary of aerofoil section

                                                      LIST OF SELECTED KEYPOINTS

                                                      NO                X                 Y    LOCATION
                                                      (Z=0)
                                                      1.                0.00                       0.00
                                                      2.                2.6                        17.3
                                                      3.                5.85                       21
                                                      4                 10                         25
                                                      5                 14.8                       26.6
                                                      6                 22.9                       25.3
                                                      7                 28                         22.2
                                                      8                 33.4                       18.5
                                                      9                 38                         14.4
                                                      10                42                         10.9
                                                      11                45.5                       5.70
                                                      12                49.00                      0.00
Fig: 1.8 Inlet Velocity Triangles Of Ii-Stage Rotor   13                6.18                       12.4
Blades                                                14                11.2                       14.4
Tangential force           Ft = 244.49 Newtons        15                16.18                      15.5
Axial force                Fa = 0.944 Newtons         16                21.1                       14.9
Power developed            P = 13.972 Mega Watts      17                26                         13.6
                                                      18                38.2                       8.77
C. ANALYSIS OF FIRST STAGE ROTOR                      19                45                         3.95
   BLADE ON ANSYS 9.0                                 20                49                         0.00
      The structural, thermal, modal modules of       21                49                         27.00
ANSYS 9.0 were used for the analysis of the rotor     22                0.00                       27.00



                                                                                           2024 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                    (IJERA)            ISSN: 2248-9622    www.ijera.com
                   Vol. 2, Issue 5, September- October 2012, pp.2021-2027
23           19.8                     0.00        V      .STRUCTURAL           BOUNDARY
24           1.00                     13.6        CONDITIONS TO BE APPLIED ON THE
25           29.2                     0.00        ROTOR BLADE MODEL
26               29.2                     27.00              Two structural boundary conditions namely
27               19.8                     27.00      displacement and force were applied on the rotor
28               15.2                     27.00      blade model. The solution part of ANSYS was
29               18.08                    27.00      opened and the displacement constraints (U) were
30               49.00                    0.27E-1    imposed on the areas shaded and numbered.
31               48.90                    0.288E-
1
32               29.2                     12.49
33               19.8                     26.62
34               19.8                     15.12
35               29.2                     21.25
36               0.00                     0.30E-1

Using splines and lines 9 different areas were
generated which was shown




                                                     Fig 2.2 Structural boundary conditions on rotor
                                                     blade
                                                     Ux = 0 for areas 4,5,6,7 and 11,12,13,14
                                                     Uy = 0 for areas 1,2,3 and 8,9,10
                                                     Uz = 0 for areas 5 and 12
                                                     U represents displacement and suffix X, Y, Z
Fig:2. Areas of turbine rotor blade                  represents the direction in which the displacement
                                                     was constrained.
         By using these points ,created the blade
modal in CATIAV5 R15 with the help of commands
like spline,extrude,add etc.after that export this
modal into HYPERMESH7.0 and mesh it by using
commands like automesh, tetmesh etc and exported
into ANSYS9.0.




                                                     Fig: 2.3 Area Diagram of gas turbine rotor blade




Fig: 2.1 3-D model of rotor blade




                                                                                       2025 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                   (IJERA)           ISSN: 2248-9622     www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.2021-2027




                                                    Fig2.7 Thermal stress in the blade,N/mm2

                                                    VI CONCLUSION
                                                              It is observed that the temperature variations
FIG:2.4 GEOMETRIC     MODEL OF GAS TURBINE
                                                    from leading edge to the trailing edge on the blade
ROTOR BLADE
                                                    profile is varying from 839.5310C to 735.1620C at
                                                    the tip of the blade and the variation is linear along
                                                    the path from both inside and outside of the blade.
                                                    Considerable changes are not observed from the first
                                                    6 mm length from the leading edge and from there to
                                                    next 36 mm length of blade the temperature is
                                                    gradually decreasing and reaching to a temperature of
                                                    781.5480C and for another 4 mm length it is almost
                                                    constant.., it is observed that the maximum thermal
                                                    stress is 1217.and the minimum thermal stress is.the
                                                    maximum thermal stress is less than the yield
                                                    strength value i.e, 1450.so, based on these values

                                                    REFERENCES
                                                      [1]    MikioOi,MarikoSuzukiNatsukoMatsuura,Is
                                                             hikawajima-Harima        heavy    industries
                                                             Company Ltd,” structural analysis and
                                                             shape optimization in turbocharger
Fig:2.5 Brick mesh gas turbine rotor blade using
                                                             development”, 2nd MSC Worldwide
hypermesh.
                                                             Automotive User Conference, 1999.
V RESULTS
                                                      [2]    Sanford Fleeter, Chenn Zhou, Elias
                                                             Houstis, John rice Purdue University,
                                                             Indiana,”Fatigue    life    prediction    of
                                                             turbomachine blading”, Advanced strategic
                                                             alliance programme, July 1998.
                                                      [3]    T.Madhusudhan,Dr.H.Maheshappa,Dr.K.R
                                                             amchandra,”Need for analysis of stress
                                                             concentration factor in inclined cutouts of
                                                             gas turbine blades,” Proceeding of
                                                             Advances in Mechanical Engineering,
                                                             Jawaharlal Nehru National College of
                                                             Engineering Shimoga, Karnataka, India,
                                                             2004.
                                                      [4]    M.Pradeep, Naveen Babu Chandu, Rajan
                                                             Bhardwaj, K.Kumar,”Influence of taper,
                                                             twist and thickness in rotor blades using
Fig: 2.6Temperature distribution in the blade, 0C            Finite Element Analysis”, National



                                                                                          2026 | P a g e
G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications
                   (IJERA)           ISSN: 2248-9622     www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.2021-2027
         Conference on Emerging trends in
         Engineering,        Technology        and    AUTHORS:2
         Maanagement, 8-9 Sep.2003, ISTE
         Chapter, Adhiyamaan Engineering Collge,                     S.SURESH is born in 1982 India,
         Hosur, Tamilnadu India.                                     Andhra Pradesh, NELLORE (Dist).
  [5]    Stuart Moffaty, Li He,” Blade forced                        He received B.Tech. (Mechanical),
         Response prediction fro industrial gas                      VITS- Kavali, M.Tech in S.V
         turbines”, Proceeding of ASME Turboexpo                     University. Since 2008 he has been
         2003,International    gas   turbine   and                   with     Mechanical     Engineering
         aeroengine Congress and Exhibition, June                    Department at Siddharth Institute of
         16-19 2003,Atlanta Georgia, U.S.A.           Engineering & Technology, Puttur, Andhra Pradesh
  [6]   Dr. K. Ramachandra, Director, Gas Turbine     as Associate Professor, and AERONAUTICAL
         Research Establishment, Bangalore, cutouts   HOD.He has published 6 papers at National &
         of gas turbine blades,” Proceeding of        International Seminar / Conferences / Journals etc.
         Advances in Mechanical Engineering,          His area of research includes modeling & analysing
         Jawaharlal Nehru National College of         on mechanical operations
         Engineering Shimoga, Karnataka, India,
         2004..

AUTHORS:1




              G.NARENDRANATH was born in
1973 India. He received B.E degree from Bangalore
university .Industrial experience from 2003-2007 he
was worked sales and service advisor in Sri Gopal
Automobiles, Tirupati, 2007-2009 was worked
service advisor in Harsha Toyota automotives.
Present he is doing M.Tech (Cad/Cam) from SIETK
COLLEGE Puttur, chittoor dist, Andhra Pradesh.
His research area are modeling & analysing on
mechanical operations.




                                                                                         2027 | P a g e

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Lq2520212027

  • 1. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 Thermal Analysis Of A Gas Turbine Rotor Blade By Using Ansys G.NARENDRANATH(M.Tech)1 S.SURESH M.Tech (Assoc. Proff)2 SIDDHARTH INSTITUTE OF ENGINEERING SIDDHARTH INSTITUTE OF ENGINEERING AND TECHNOLOGY PUTTUR, CHITTOOR AND TECHNOLOGY PUTTUR, CHITTOOR DIST, INDIA DIST, INDIA Abstract In the present work, the first stage rotor component parts has been made so far mainly on the blade off the gas turbine has been analyzed using automotive and marine turbochargers, centrifugal ANSYS 9.0 for the mechanical and radial compressors. We have made analysis of the stress elongations resulting from the tangential, axial caused by external force and pressure, analysis of and centrifugal forces. The gas forces namely thermal stress caused by heat and analysis of tangential, axial were determined by constructing vibrations caused by natural frequency in the velocity triangles at inlet and exist of rotor compressor impeller, turbine impellers and rotors as blades. The material of the blade was specified as rotary parts., Sanford Fleeter, were done on the N155. This material is an iron based super alloy Fatigue life prediction of turbomachine blading(2), and structural and thermal properties at gas T.Madhusudhan, Need for analysis of stress room and room temperatures The turbine blade concentration factor in inclined cutouts of gas along with the groove blade is modeled with the turbine blades (3), M.Pradeep, Naveen Babu 3D-Solid Brick element. The geometric model of Chandu, Influence of taper, twist and thickness in the blade profile is generated with splines and rotor blades using Finite Element Analysis(4), Stuart extruded to get a solid model in CATIAV5R15. Moffaty, Li He Blade forced Response prediction fro The first stage rotor blade of a two stage gas industrial gas turbines(5), M.Venkatarama Reddy, turbine has been analyzed for structural, thermal additional Director CVRaman nagar, Bangalore (6) and modal analysis using ANSYS 9.0 Finite describes the influence of taper, twist, thickness in Element Analysis software. The gas turbine rotor rotor blade using Finite element analysis. Turbo blade model is meshed in HYPERMESH 7.0, machine rotor blades are subjected to different types meshing software. The thermal boundary of loading such as fluid or gas forces, inertia loads condition such as convection and operating and centrifugal forces, Dr. K. Ramachandra, temperatures on the rotor blade is obtained by Director, Gas Turbine Research Establishment, theoretical modeling. Analytical approach is used Bangalore, (7) describes need for analysis of stress to estimate the tangential, radial and centrifugal concentration factor in inclined cutouts of gas forces. The results obtained are discussed and turbine blades, aero engine gas turbine blades are reported. aerofoil in cross section and are twisted mounted on annular plate, which in turn is fixed to rotating disc. Keywords-ANSYS, CATIA V5R15, Blades operate at very high speed and temperature HYPERMESH 7.0 leading to induction of respective stresses. For air- cooling purpose, blades are provided with number of I INTRODUCTION minute cooling holes (0.5 to 0.8 mm) on the hollow The purpose of turbine technology are to walls of the blades through which pressurized air is extract the maximum quantity of energy from the ejected. Holes are oblique, oriented at compound working fluid to convert it into useful work with angles and are stress raisers and lower the resistance maximum efficiency by means of a plant having of the blade to thermal and mechanical fatigue. maximum reliability, minimum cost, minimum supervision and minimum starting time. II WORKING OF THE GAS TURBINE The gas turbine obtains its power by A gas turbine is an engine where fuel is utilizing the energy of burnt gases and the air which continuously burnt with compressed air to produce a is at high temperature and pressure by expanding steam of hot, fast moving gas. This gas stream is through the several ring of fixed and moving blades. used to power the compressor that supplies the air to Mikio Oi, Mariko Suzuki Natsuko Matsuura some of the engine as well as providing excess energy that the experiments done on the structural analysis and may be used to do other work. Turbine compressor shape optimization in turbocharger development(1) usually sits at the front of the engine. There are two In this comparison between conventional method main types of compressor, the centrifugal and computer aided engineering is done. It is compressor and the axial compressor. The essential to incorporate the Computer Aided compressor will draw in air and compress it before it Engineering in the turbocharger development and is fed into the combustion chamber. In both types, design process. Structural analysis of there the compressor rotates and it is driven by a shaft that 2021 | P a g e
  • 2. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 passes through the middle of the engine and is detailed study can be carried out on the temperature attached to the turbine as shown in fig 1.1 effects to have a clear understanding of the combined mechanical and thermal stresses. B. VIBRATION OF BLADES If a blade of an assembly of blade is acted upon by an instantaneous force free vibrations are setup because of the inherent resilience of the blade or blade assembly. The frequency of these vibrations depends on the dimensions of the blade or blade assembly as well as their method of mounting on the discs. Moving blades in turbine are subjected to time variable loads in addition to the static loads. . Fig 1.1 Indicator diagram of gas turbine C. PRODUCTION OF BLADES: - Blades may be considered to be the heart of turbine A. CONSTRUCTION OF TURBINE and all other member exist for the sake of the blades. ROTOR BLADES AND THEIR COMPONENTS Without blading there would be no power and the Knowing the fluid conditions at exit of the slightest fault in blading would mean a reduction in gas generators, a value of static pressure was efficiency and costly repairs. assumed at the turbine outlet. From this, the corresponding enthalpy drop required in the power D.TURBINE BLADE ATTACHMENT: - turbine was calculated. The limitation in fixing the The attachment of the turbine blade to the velocity triangles come from the peripheral speed of rotor is the most critical aspect of gas rotor and flow velocities. It is preferable to keep the turbine.design.All the forces are transmitted through both in reasonable range so as to minimize the the attachment to the rotor. Especially at the low- losses. pressure end of turbine of large output, the After the primary fixing of velocity attachment has to bear relatively large forces due to triangles between the axial gaps of the turbine blade high speed; the centrifugal force on the blade is rows, the blade profile is selected. In blade section many times its mass. It is therefore necessary to there are two approaches, the direct and indirect estimate the stresses in the attachment, but approach. The blade profile selected should yield the sometimes it is very difficult to get the exact values. flow angle required to give the desirable enthalpy drop. Also the pressure distribution at the end of There is always the possibility of stress stage should be uniform. If it is not so the blade concentration at the sharp corners. Therefore angles are changed to match these requirements. selection of material is very important which can be safeguard from this stress concentration. E. BRAYTON CYCLE COMPONENTS: Gas turbines usually operate on an open cycle, as shown in Figure 1. Fresh air at ambient conditions is drawn into the compressor, where its temperature and pressure are raised. The high- pressure air proceeds into the combustion chamber, Fig 1.2 CONSTRUCTION OF TURBINE where the fuel is burned at constant pressure. ROTOR AND THEIR COMPONENTS The gas turbine have been taken from the preliminary design of a power turbine. As the temperature has a significant effect on the overall stresses in the rotor blade, it has been felt that a 2022 | P a g e
  • 3. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 C. SOLID 95 3D 20-NODE STRUCTURAL SOLID ELEMENT Solid 95 is higher order version of the 3-D 8-node solid element. It can tolerate irregular shapes without as much loss of accuracy. Solid 95 elements have compatible displacement shapes and are well suited to model curved boundaries The element is defined by 20 nodes having three degrees of freedom per node, translations in the nodal x, y, and z directions. Fig: 1.3 Open & Closed Cycle of Gas Turbine II. FINITE ELEMENT METHOD FORMULATION A. FINITE ELEMENT METHOD The finite element method is a numerical analysis technique for obtaining approximate solutions to a wide variety of engineering problems. Although originally developed to study stresses in complex airframe structures, it has since been Fig:1.6 Solid 95 3-D structural solid extended and applied to the broad field of continuum SOLID 95 INPUT SUMMARY mechanics. Element Name Solid 95 Nodes I, J, K, L, M, N, O, P,Q,R,S,T,U,V,V,W,X,Y,Z,A,B Degrees of Freedom UX,UY,UZ Real constants None Fig: 1.4 Discretizations Of Turbine Blade Profile Material Properties EX,EY,EZ(PRXY,PRYZ,PRXZ B. PLANE 82TYPE 2-D 8-NODE NUXY,NUYZ,NUXZ) STRUCTURAL SOLID ELEMENT ALPX,ALPY,ALPZ,DENS Plane 82 is a higher order version of the Surface loads Pressure two dimensional four-node element. It provides Body loads Temperatures more accurate results for mixed (quadratic- Special features Plasticity, creep, stress stiffening, triangular) automatic meshes large deflection, and large strain. Fig: 1.6 plane 82 2-d structural solid and can tolerate irregular shapes without as much IV.EVALUATION OF GAS FORCE ON loss of accuracy. THE ROTOR BLADES Element Name Plane 82 Gas forces acting on the blades of the rotor Nodes I, J, K, L, M, N, O, P in general have two components namely tangential Degrees of Freedom UX, UY (Ft) and axial (Fa). These forces result from the gas Real constants none momentum changes and from pressure differences MaterialProperties EX,EY,EZ across the blades. These gas forces are evaluated by PRXY,PRYZ,PRXZ constructing velocity triangles at inlet and outlet of NUXY,NUYZ,NUXZ) the rotor blades. ALPX,ALPY,ALPZ,DENS A. EVALUATION OF GAS FORCES ON THE Surface loads Pressure FIRST STAGE ROTOR BLADE Body loads Temperatures At the inlet of the first stage rotor blades, Special features Plasticity, creep, stress Absolute flow angle α2 = 23.850 stiffening, large deflection, and large strain. Absolute velocity V2 = 462.21 m/s The velocity triangles at inlet of first stage rotor blades were constructed 2023 | P a g e
  • 4. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 blade. The rotor blade was analyzed for mechanical stresses, temperature distribution, combined mechanical and thermal stresses and radial elongations, natural frequencies and mode shapes. Element Type 1: 8 node quadrilateral element Element type 2: 20 node Brick solid element. The following material properties were defined in the material property table named as material type 1. Young’s Modulus of Elasticity (E) = 2e5 N/mm2 Density (ρ) = 7136.52 e-9 T/mm3 Coefficient of thermal expansion (α ) = Fig: 1.7 Inlet velocity triangles of I-stage rotor 6.12e-6 /0C blades The aerofoil profile of the rotor blade was generated Diameter of blade midspan D = 1.3085 mt. on the XY plane with the help of key points defined Design speed of turbine N = 3426 r.p.m. by the coordinates as given below. Then a number of Peripheral speed of rotor blade at its midspan U = splines were fitted through the keypoints. A rectangle πDN/60 of dimensions 49*27 mm From the velocity triangles in fig we get, Whirl velocity Vw2 = 422.74 m/s Flow Velocit, Vf2 = 186.89 m/s Relative velocity, Vr2 = 265.09 m/s Blade angle at inlet, θ2 = 135.017 0 At the exit of first stage rotor blades, Flow velocity, Vr3 = 180.42 m/s Relative flow angle, θ2 = 37.88 0 B. EVALUATION OF GAS FORCES ON SECOND STAGE ROTOR BLADES The gas forces and power developed in second stage rotor blades were evaluated using the same procedure and similar equations that were used for first stage rotor blades Fig 1.9 Boundary of aerofoil section LIST OF SELECTED KEYPOINTS NO X Y LOCATION (Z=0) 1. 0.00 0.00 2. 2.6 17.3 3. 5.85 21 4 10 25 5 14.8 26.6 6 22.9 25.3 7 28 22.2 8 33.4 18.5 9 38 14.4 10 42 10.9 11 45.5 5.70 12 49.00 0.00 Fig: 1.8 Inlet Velocity Triangles Of Ii-Stage Rotor 13 6.18 12.4 Blades 14 11.2 14.4 Tangential force Ft = 244.49 Newtons 15 16.18 15.5 Axial force Fa = 0.944 Newtons 16 21.1 14.9 Power developed P = 13.972 Mega Watts 17 26 13.6 18 38.2 8.77 C. ANALYSIS OF FIRST STAGE ROTOR 19 45 3.95 BLADE ON ANSYS 9.0 20 49 0.00 The structural, thermal, modal modules of 21 49 27.00 ANSYS 9.0 were used for the analysis of the rotor 22 0.00 27.00 2024 | P a g e
  • 5. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 23 19.8 0.00 V .STRUCTURAL BOUNDARY 24 1.00 13.6 CONDITIONS TO BE APPLIED ON THE 25 29.2 0.00 ROTOR BLADE MODEL 26 29.2 27.00 Two structural boundary conditions namely 27 19.8 27.00 displacement and force were applied on the rotor 28 15.2 27.00 blade model. The solution part of ANSYS was 29 18.08 27.00 opened and the displacement constraints (U) were 30 49.00 0.27E-1 imposed on the areas shaded and numbered. 31 48.90 0.288E- 1 32 29.2 12.49 33 19.8 26.62 34 19.8 15.12 35 29.2 21.25 36 0.00 0.30E-1 Using splines and lines 9 different areas were generated which was shown Fig 2.2 Structural boundary conditions on rotor blade Ux = 0 for areas 4,5,6,7 and 11,12,13,14 Uy = 0 for areas 1,2,3 and 8,9,10 Uz = 0 for areas 5 and 12 U represents displacement and suffix X, Y, Z Fig:2. Areas of turbine rotor blade represents the direction in which the displacement was constrained. By using these points ,created the blade modal in CATIAV5 R15 with the help of commands like spline,extrude,add etc.after that export this modal into HYPERMESH7.0 and mesh it by using commands like automesh, tetmesh etc and exported into ANSYS9.0. Fig: 2.3 Area Diagram of gas turbine rotor blade Fig: 2.1 3-D model of rotor blade 2025 | P a g e
  • 6. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 Fig2.7 Thermal stress in the blade,N/mm2 VI CONCLUSION It is observed that the temperature variations FIG:2.4 GEOMETRIC MODEL OF GAS TURBINE from leading edge to the trailing edge on the blade ROTOR BLADE profile is varying from 839.5310C to 735.1620C at the tip of the blade and the variation is linear along the path from both inside and outside of the blade. Considerable changes are not observed from the first 6 mm length from the leading edge and from there to next 36 mm length of blade the temperature is gradually decreasing and reaching to a temperature of 781.5480C and for another 4 mm length it is almost constant.., it is observed that the maximum thermal stress is 1217.and the minimum thermal stress is.the maximum thermal stress is less than the yield strength value i.e, 1450.so, based on these values REFERENCES [1] MikioOi,MarikoSuzukiNatsukoMatsuura,Is hikawajima-Harima heavy industries Company Ltd,” structural analysis and shape optimization in turbocharger Fig:2.5 Brick mesh gas turbine rotor blade using development”, 2nd MSC Worldwide hypermesh. Automotive User Conference, 1999. V RESULTS [2] Sanford Fleeter, Chenn Zhou, Elias Houstis, John rice Purdue University, Indiana,”Fatigue life prediction of turbomachine blading”, Advanced strategic alliance programme, July 1998. [3] T.Madhusudhan,Dr.H.Maheshappa,Dr.K.R amchandra,”Need for analysis of stress concentration factor in inclined cutouts of gas turbine blades,” Proceeding of Advances in Mechanical Engineering, Jawaharlal Nehru National College of Engineering Shimoga, Karnataka, India, 2004. [4] M.Pradeep, Naveen Babu Chandu, Rajan Bhardwaj, K.Kumar,”Influence of taper, twist and thickness in rotor blades using Fig: 2.6Temperature distribution in the blade, 0C Finite Element Analysis”, National 2026 | P a g e
  • 7. G.Narendranath, S.Suresh / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.2021-2027 Conference on Emerging trends in Engineering, Technology and AUTHORS:2 Maanagement, 8-9 Sep.2003, ISTE Chapter, Adhiyamaan Engineering Collge, S.SURESH is born in 1982 India, Hosur, Tamilnadu India. Andhra Pradesh, NELLORE (Dist). [5] Stuart Moffaty, Li He,” Blade forced He received B.Tech. (Mechanical), Response prediction fro industrial gas VITS- Kavali, M.Tech in S.V turbines”, Proceeding of ASME Turboexpo University. Since 2008 he has been 2003,International gas turbine and with Mechanical Engineering aeroengine Congress and Exhibition, June Department at Siddharth Institute of 16-19 2003,Atlanta Georgia, U.S.A. Engineering & Technology, Puttur, Andhra Pradesh [6] Dr. K. Ramachandra, Director, Gas Turbine as Associate Professor, and AERONAUTICAL Research Establishment, Bangalore, cutouts HOD.He has published 6 papers at National & of gas turbine blades,” Proceeding of International Seminar / Conferences / Journals etc. Advances in Mechanical Engineering, His area of research includes modeling & analysing Jawaharlal Nehru National College of on mechanical operations Engineering Shimoga, Karnataka, India, 2004.. AUTHORS:1 G.NARENDRANATH was born in 1973 India. He received B.E degree from Bangalore university .Industrial experience from 2003-2007 he was worked sales and service advisor in Sri Gopal Automobiles, Tirupati, 2007-2009 was worked service advisor in Harsha Toyota automotives. Present he is doing M.Tech (Cad/Cam) from SIETK COLLEGE Puttur, chittoor dist, Andhra Pradesh. His research area are modeling & analysing on mechanical operations. 2027 | P a g e