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+//Fluid Systems - By- Shiv Kumar
+//Chapter 12- Reciprocating Pumps
+//Example 12.8
+//To    (a) Find the Speed at which seperation may take place at commencement of suction stroke,      (b)Find the  change in Speed of Pump if an air vessel is fitted in the suction side.
+
+    clc
+     clear
+   
+//Given Data:-
+        H_s=3.60;      //Suction Head, m
+        d_s=225;      //Diameter of Suction Pipe, mm
+        l_s=9.6;        //Length of Suction Pipe, m
+        D=300;        //Pump cylinder diameter, mm
+        L=450;       //Stroke length, mm
+        
+        H_a=9.6;      //Barometric Head, m of water
+        H_sp=2.4;    //Head (m of water) for seperation 
+        f=0.04;
+
+
+//Data Used:-
+       g=9.81;         //Acceleration due to gravity, m/s^2
+
+
+//Computations:-
+          D=D/1000;     //m
+          L=L/1000;     //m
+          d_s=d_s/1000;     //m
+
+        a_s=(%pi/4)*d_s^2;       //m^2
+        A=(%pi/4)*D^2;        //m^2
+        r=L/2;        //m
+
+     //Without Air Vessel
+        H_as_by_omega2=(l_s/g)*(A/a_s)*r;       //H_as/omega^2
+        omega=sqrt((H_a-H_s-H_sp)/H_as_by_omega2);       //rad/s
+        N=omega*60/(2*%pi);       //rpm   
+
+    //With Air Vessel
+         Us_by_N=(A/a_s)*L/60;      //Us/N
+         l_v=H_sp/2;     //m
+         H_as_by_N2=(l_v/g)*(A/a_s)*(2*%pi/60)^2*r;         //H_as/N^2
+         h_fs_by_N2=f*(l_s-l_v)*Us_by_N^2/(r*2*g);
+         N1=sqrt((H_a-H_sp-H_s)/(H_as_by_N2+h_fs_by_N2));      //Speed of Pump if air vessel is fitted, rpm
+         Change_In_Speed=N1-N;        //rpm
+
+
+//Results:-
+        printf("(a)Speed at which Seperation may take place, N=%.f rpm\n",N)
+        printf("(b)Change in Speed with air vessel=%.f rpm\n",Change_In_Speed)       //The answer provided in the textbook is wrong
+
+