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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /3407/CH6/EX6.1 | |
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initial commit / add all books
Diffstat (limited to '3407/CH6/EX6.1')
-rw-r--r-- | 3407/CH6/EX6.1/Ex6_1.sce | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/3407/CH6/EX6.1/Ex6_1.sce b/3407/CH6/EX6.1/Ex6_1.sce new file mode 100644 index 000000000..dd23b1d81 --- /dev/null +++ b/3407/CH6/EX6.1/Ex6_1.sce @@ -0,0 +1,42 @@ +clear;
+clc;
+funcprot(0);
+
+//given data
+dt = 1.0;//tip diameter in m
+dh = 0.9;//hub diameter in m
+alpha1 = 30;//in deg
+beta1 = 60;//in deg
+alpha2 = 60;//in deg
+beta2 = 30;//in deg
+N = 6000;//rotational speed in rev/min
+rhog = 1.5;//gas density in kg/m^3
+Rt = 0.5;//degree of reaction at the tip
+
+//Calculations
+omega = 2*%pi*N/60;
+Ut = omega*0.5*dt;
+Uh = omega*0.5*dh;
+cx = Ut/(tan(alpha1*%pi/180) + tan(beta1*%pi/180));
+mdot = %pi*((0.5*dt)^2 - (0.5*dh)^2)*rhog*cx;
+Wcdot = mdot*Ut*cx*(tan(alpha2*%pi/180)- tan(alpha1*%pi/180));
+ctheta1t = cx*tan(alpha1*%pi/180);
+ctheta1h = ctheta1t*(dt/dh);
+ctheta2t = cx*tan(alpha2*%pi/180);
+ctheta2h = ctheta2t*(dt/dh);
+alpha1_ = (180/%pi)*atan(ctheta1h/cx);
+beta1_ = (180/%pi)*atan((Uh/cx) - tan(alpha1_*%pi/180));
+alpha2_ = (180/%pi)*atan(ctheta2h/cx);
+beta2_ = (180/%pi)*atan((Uh/cx) - tan(alpha2_*%pi/180));
+k = Rt*(0.5*dt)^2;
+Rh = 1 - (k/(0.5*dh)^2);
+
+//Results
+printf('(i)The axial velocity, cx = %d m/s',cx);
+printf('\n (ii)The mass flow rate = %.1f kg/s',mdot);
+printf('\n (iii)The power absorbed by the stage = %.1f MW',Wcdot/(10^6));
+printf('\n (iv)The flow angles at the hub are:\n alpha1 = %.2f deg,\n beta1 = %.2f deg,\n alpha2 = %.1f deg, and\n beta2 = %.2f deg.',alpha1_,beta1_,alpha2_,beta2_);
+printf('\n (v)The reaction ratio of the stage at the hub, R = %.3f.',Rh);
+
+
+//there are small errors in the answers given in textbook
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