From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 3407/CH8/EX8.5/Ex8_5.sce | 43 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 3407/CH8/EX8.5/Ex8_5.sce (limited to '3407/CH8/EX8.5') diff --git a/3407/CH8/EX8.5/Ex8_5.sce b/3407/CH8/EX8.5/Ex8_5.sce new file mode 100644 index 000000000..d1379c60d --- /dev/null +++ b/3407/CH8/EX8.5/Ex8_5.sce @@ -0,0 +1,43 @@ +clear; +clc; +funcprot(0); + +//given data +Z = 12;//number of vanes +delW = 230;//in kW +T01 = 1050;//stagnation temperature in K +mdot = 1;//flow rate in kg/s +eff_ts = 0.81;//total-to-static efficiency +Cp = 1.1502;//in kJ/(kg.K) +gamma = 1.333; +R = 287;//gas constant +cm3_U2 = 0.25; +nu = 0.4; +r3s_r2 = 0.7; +w3av_w2 = 2.0; +p3 = 100;//static pressure at rotor exit in kPa +zetaN = 0.06;//nozzle enthalpy loss coefficient +U2 = 538.1;//in m/s +p01 = 3.109*10^5;//in Pa + +//Calculations +S = delW/(Cp*T01); +T03 = T01*(1-S); +T3 = T03 - (cm3_U2^2)*(U2^2)/(2*Cp*1000); +r2 = sqrt(mdot/((p3*1000/(R*T3))*(cm3_U2)*U2*%pi*(r3s_r2^2)*(1-nu^2))); +D2 = 2*r2; +omega = U2/r2; +N = omega*30/%pi; +ctheta2 = S*Cp*1000*T01/U2; +alpha2 = (180/%pi)*acos(sqrt(1/Z)); +cm2 = ctheta2/tan(alpha2*%pi/180); +c2 = ctheta2/sin(alpha2*%pi/180); +T2 = T01 - (c2^2)/(2*Cp*1000); +p2 = p01*(1-(((c2^2)*(1+zetaN))/(2*Cp*1000*T01)))^(gamma/(gamma-1)); +b2_D2 = (0.25/%pi)*(R*T2/p2)*(mdot/(cm2*r2^2)); + +//Results +printf('(i) The diamaeter of the rotor = %.4f m\n its speed of rotation = %.1f rad/s (N = %d rev/min)',D2,omega,N); +printf('\n(ii) The vane width to diameter ratio at rotor inlet = %.4f',b2_D2); + +//there are some errors in the answers given in textbook -- cgit