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Instrument Measurement
       Principles
       PHYS6008
Flow Measurement
Learning Objectives
• When this section is completed the
  learner will be able to:
• Explain “What is a fluid?”
• Describe fluid flow
• Differentiate between different types of fluid
  flow
• Calculate Reynolds Number
What is a fluid?


A fluid is a substance that can
    flow – liquids or gases
Types of Flow
Laminar               Turbulent
Types of Flow
    Laminar
                                                 FLOW PATTERN
• Flow is steady
                                   streamlines
• Particles follow streamlines
• All particles flowing past a point in
  the flow will have same velocity                              Pipe

• Velocity profile is parabolic due
  to the frictional forces between
  the layers of fluid and between
  the fluid and the pipe wall.
                                                 VELOCITY PROFILE
Types of Flow
                                        Turbulent
       FLOW PATTERN
                           •    Flow is disorderly
                           •    At any position in the
                                flow the velocity is time
                                dependent and eddies
pipe                            occur.
                           •   The velocity profile is
                               more uniform.
                           •   The velocity is 0 ms-1 at
   VELOCITY PROFILE
                               the pipe boundaries.
Reynolds Number




What are the units for each parameter?
Symbol                   Units


      ρ      fluid density   kg m-3
      v      average         ms-2
             velocity
      d      pipe            m
             diameter
      η      fluid viscosity Nsm-2

What is the unit of the Reynolds number?
• If Re > 3000           Turbulent Flow

• If Re = 0 to 2000      Laminar Flow

• For 2000 < Re < 3000   Transition region
Example 1
• Oil of density 800 kgm-3 flows with a velocity
  of 3.0 ms-1 at 20 0C in a pipe of diameter 300
  mm.
• The viscosity of the oil at 20 0C is 0.110 Nsm-2.

• Determine whether the flow is laminar or
  turbulent?
• If Re > 3000           Turbulent Flow

• If Re = 0 to 2000      Laminar Flow

• For 2000 < Re < 3000   Transition region

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Lecture 1 flow phys6008

  • 1. Instrument Measurement Principles PHYS6008
  • 3. Learning Objectives • When this section is completed the learner will be able to: • Explain “What is a fluid?” • Describe fluid flow • Differentiate between different types of fluid flow • Calculate Reynolds Number
  • 4. What is a fluid? A fluid is a substance that can flow – liquids or gases
  • 6. Types of Flow Laminar FLOW PATTERN • Flow is steady streamlines • Particles follow streamlines • All particles flowing past a point in the flow will have same velocity Pipe • Velocity profile is parabolic due to the frictional forces between the layers of fluid and between the fluid and the pipe wall. VELOCITY PROFILE
  • 7. Types of Flow Turbulent FLOW PATTERN • Flow is disorderly • At any position in the flow the velocity is time dependent and eddies pipe occur. • The velocity profile is more uniform. • The velocity is 0 ms-1 at VELOCITY PROFILE the pipe boundaries.
  • 8. Reynolds Number What are the units for each parameter?
  • 9. Symbol Units ρ fluid density kg m-3 v average ms-2 velocity d pipe m diameter η fluid viscosity Nsm-2 What is the unit of the Reynolds number?
  • 10.
  • 11. • If Re > 3000 Turbulent Flow • If Re = 0 to 2000 Laminar Flow • For 2000 < Re < 3000 Transition region
  • 12. Example 1 • Oil of density 800 kgm-3 flows with a velocity of 3.0 ms-1 at 20 0C in a pipe of diameter 300 mm. • The viscosity of the oil at 20 0C is 0.110 Nsm-2. • Determine whether the flow is laminar or turbulent?
  • 13. • If Re > 3000 Turbulent Flow • If Re = 0 to 2000 Laminar Flow • For 2000 < Re < 3000 Transition region