numerical based on indicator diagram

1. KALI CHARAN NIGAM INSTITUTE OF
TECHNOLOGY, BANDA
LECTURE
ON
RECIPROCATING PUMP
[TOPIC- NUMERICAL BASED ON INDICATOR DIAGRAM]
FLUID MECHANICS (KME302)
(III SEMESTER)
BY : DEEPAK KUMAR YADAV
ME DEPARTMENT

2. NUMERICAL
PROBLEM 1: The length and diameter of a suction pipe of a single acting
reciprocating pump are 5m and 10cm respectively. The pump has a plunger
of diameter 15cm and a stroke length of 35cm. The centre of the pump is
3m above the water surface in the pump. The atmospheric pressure head is
10.3m of water and pump is running at 35 rpm. Determine:
(i) Pressure head due to acceleration at the beginning o f the suction stroke.
(ii) Maximum pressure head due to acceleration, and
(iii) Pressure head in the cylinder at the beginning and at the end of the
stroke.
• Sol. Length of suction pipe, ls = 5m
Diameter of the suction pipe, ds = 10cm= 0.1m
Area,
Diameter of plunger, D= 15cm= 0.15m
Area of plunger,
Stroke length L= 35cm = 0.35m
Crank radius,

3. NUMERICAL
Suction head hs=3m
Atmospheric pressure head, Hatm=10.3m of water
Speed of pump, N =35 rpm
Angular speed of the crank is given by,
(i) The pressure head due to acceleration in the suction pipe
is given by
At the beginning of stroke, θ = 0 and hence cosθ = 1

4. NUMERICAL
(ii) Maximum pressure head due to acceleration in
suction pipe is given by
(iii) Pressure head in the cylinder at the beginning of
the suction head
Absolute pressure head in the cylinder at the
beginning of suction stroke

5. NUMERICAL
Pressure head in the cylinder at the end of suction
stroke

6. NUMERICAL
PROBLEM 2 : If in problem 1 , the length and
diameter of the delivery pipe are 30m and 10cm
respectively and water is delivered by the pump to
a tank which is 20m above the centre of the pump,
determine:
(i) Pressure head due to acceleration at the
beginning of delivery stroke,
(ii) Pressure head in the cylinder at the beginning of
the delivery stroke, and
(iii)Pressure head in the cylinder at the end of the
delivery stroke.

7. THANK YOU