// Display mode mode(0); // Display warning for floating point exception ieee(1); clear; clc; disp("Turbomachinery Design and Theory,Rama S. R. Gorla and Aijaz A. Khan, Chapter 2, Example 18") disp("Specific speed N in rpm") Ns = 38; He = 70; H = He/2; Q = 55/1000;//in m3/s rho = 1000; g = 9.81; N = Ns * (H)^(3/4) / Q^(1/2) disp("Power Required P in kW") P = rho*g*Q*He/(0.76*1000) Hmano = 0.65*H; beta2 = 28; //Cr2 = 0.14*U2 disp("From velocity triangle at outlet") disp("tan(beta2) = Cr2/(U2 - Cw2) or tan(28) = 0.14U2/ (U2 - Cw2)") disp("U2/(U2 - Cw2) = 0.5317/0.14 = 3.798------(A)") disp("As the flow at entrance is radial and alpha1 = 90, the fundamental equation of pump would be") disp("Hmano/etamano = U2*Cw2/g") disp("Where etamano manometric efficiency of pump which is 65%.") disp("Therefore, 35/0.65 = U2*Cw2/g") disp("U2*Cw2 = 35 * 9.81/ 0.65") disp("Cw2 = 528.23/U2------(B)") disp("Substituting for Cw2 in Eq. (A) and solving U2") U2 = 26.78 D2 = U2 * 60 /(%pi *N) disp("Where D2 is in meters")