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//Fluid Systems - By - Shiv Kumar
//Chapter 12- Reciprocating Pumps
//Example 12.11
//(a)Theoritical Question.
//(b)Theoritical Question.
//(c)To Find the Rate of flow into or from the air vessel when crank makes angle of 30, 90 and 120 degrees with inner dead centre and
//Also Determine crank angle at which there is no flow to or from the air vessel.
clc
clear
//Given Data:-
D=200; //Bore of the Pump, mm
L=350; //Stroke Length, mm
d_s=150; //Diameter of Suction Pipe, mm
N=120; //Speed of the Pump, rpm
//Computations:-
d_s=d_s/1000; //m
D=D/1000; //m
L=L/1000; //m
A=(%pi/4)*D^2; //m^2
omega=2*%pi*N/60; //rad/s
r=L/2; //m
//Using the Equation 12.28 from the textbook, Rates of Flow are
Q_30=A*omega*r*(2/%pi-sind(30) )*1000; //For 30 degree angle, litres/s
Q_90=A*omega*r*(2/%pi-sind(90) )*1000; //For 90 degree angle, litres/s
Q_120=A*omega*r*(2/%pi-sind(120) )*1000; //For 120 degree angle, litres/s
theta=asind(2/%pi); //Angle at which there is no flow, degrees
//This is NOT Calculated in the Textbook.
//Results:-
printf("Rate of Flow from the Air Vessel=%.1f litre/s for 30 Degree Angle\n\t\t\t\t",Q_30)
printf(" =%.f litre/s for 90 Degree Angle\n\t\t\t\t",Q_90)
printf(" =%.1f litre/s for 120 Degree Angle\n",Q_120)
printf("The angle at which there is no flow from or to the air vessel = %.2f Degrees\n",theta)
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