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+//Fluid Systems - By - Shiv Kumar
+//Chapter 12- Reciprocating Pumps
+//Example 12.10
+//To Find the Power required to overcome the friction of Delivery pipe when (a)No air vessel is fitted on it , (b)A large air vessel is fitted at the centre line of the pump.
+
+ clc
+ clear
+
+//Given Data:-
+ N=60; //Speed of the Pump, rpm
+ D=250; //Plunger Diameter, mm
+ L=450; //Stroke Length, mm
+ d_d=112.5; //Diameter of Delivery Pipe, mm
+ l_d=48; //Length of Delivery Pipe, m
+ f=0.04; //Co-efficient of friction
+
+//Data Used:-
+ g=9.81; //Acceleration due to gravity, m/s^2
+ rho=1000; //Density of water, kg/m^3
+
+
+//Computations:-
+ d_d=d_d/1000; //m
+ D=D/1000; //m
+ L=L/1000; //m
+
+ a=(%pi/4)*d_d^2; //m^2
+ A=(%pi/4)*D^2; //m^2
+ omega=2*%pi*N/60; //rad/s
+ r=L/2; //m
+
+ //(a)Without Air Vessel
+ H_fd=f*(l_d/d_d)*(omega*r*A/a)^2/(2*g); //Maximum loss of head due to friction in delivery pipe, m
+ m=rho*A*L*N/60; //Mass of water lifted, kg/s
+ Power=(2/3)*H_fd*m; //W
+
+ //Result (a)
+ printf("(a)Without Air Vessel\n\t")
+ printf("Power Required to Overcome Friction=%.2f W\n\n",Power) //The answer provided in the textbook is wrong
+
+ //(b)With Air Vessel
+ Ud=A*L*N/(a*60); //m/s
+ H_fd=f*(l_d/d_d)*(Ud^2/(2*g)); //m
+ Power=m*H_fd; //W
+ //Result (a)
+ printf("(a)With Air Vessel\n\t")
+ printf("Power Required to Overcome Friction=%.2f W\n",Power) //The answer vary due to round off error
+
+
+