# A double acting reciprocating pump has a piston diameter of 260 mm and its stroke is 320 mm. The pump runs at a speed of 64 rpm and delivers 30 liters/s of water. Find Theoretical discharge in liters/s Coefficient of discharge Percentage slip.

Question-AnswerCategory: Fluid MechanicsA double acting reciprocating pump has a piston diameter of 260 mm and its stroke is 320 mm. The pump runs at a speed of 64 rpm and delivers 30 liters/s of water. Find Theoretical discharge in liters/s Coefficient of discharge Percentage slip.

3. ### Percentage slip.

R cotwell answered 1 year ago

GIVEN:
PISTON DIAMETER, d = 260 mm = 0.26 m
PISTON STROKE, L = 320 mm = 0.32 m
SPEED, N = 64 RPM
ACTUAL DISCHARGE, Qa = 30 liter / sec
SOLUTION:
1 ) CALCULATING THE THEORETICAL DISCHARGE ( Qt ) :
THE THEORETICAL DISCHARGE IS GIVEN BY;
Qt = A x L x ( 2 x N / 60 )
WHERE 2N REPRESENTS THE NUMBER OF STROKES PER MINUTE, THE COMPRESSOR BEING DOUBLE – ACTING.
A = CROSS-SECTIONAL AREA OF THE PISTON ( $m^{2}$ )
L = LENGTH OF STROKE ( m )
HENCE WE GET;
A = $\pi*d^{2}$ / 4 = $\pi*0.26^{2}$ / 4 = 0.0169$\pi$   $m^{2}$
L = 0.32 m
N = 64 RPM
THE THEORETICAL DISCHARGE IS;
Qt = ( 0.0169$\pi$ x 0.32 ) x ( 2 x 64 / 60 )
Qt = 0.036245  $m^{3}$ / sec
OR, Qt = 36.245 Liter / sec
ANSWER: THE THEORETICAL DISCHARGE IS, Qt = 36.245 Liter/sec
2 ) COEFFICIENT OF DISCHARGE ( Cd ) :
THE COEFFICIENT OF DISCHARGE ( Cd ) IS THE RATIO OF THE ACTUAL DISCHARGE ( Qa ) TO THE THEORETICAL DISCHARGE ( Qt )
Cd = Qa / Qt
Cd = 30 / 36.245
Cd = 0.8277
ANSWER: THE COEFFICIENT OF DISCHARGE IS, Cd = 0.8277
3 ) CALCULATING THE PERCENT SLIP :
THE PERCENTAGE SLIP IS GIVEN BY;
% SLIP = $\frac{Qt-Qa}{Qt}*100$
% SLIP = $\frac{36.245-30}{36.245}*100$
% SLIP = 17.23 %
ANSWER: THE PERCENT SLIP IS. % SLIP = 17.23 %