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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+clc
+// Example 4.7.py
+// Consider a horizontal supersonic flow at Mach 2.8 with a static pressure and
+// temperature of 1 atm and 519 R, respectively. This flow passes over a compr-
+// ession corner with deflection angle of 16 degrees. The oblique shock generated
+// at the corner propagates into the flow, and is incident on a horizontal wall,
+// as shown in Fig. 4.15. Calculate the angle phi made by the reflected shock wave
+// with respect to the wall, and the Mach number, pressure and temperature behind
+// the reflected shock.
+
+
+// Variable declaration
+M1 = 2.8 // upstream mach number
+p1 = 1.0 // upstream pressure (in atm)
+T1 = 519.0 // upstream temperature (in R)
+theta = 16.0 // deflection (in degrees)
+
+// Calculations
+// subscript 2 means behind the shock
+
+// from figure 4.5 from M1 = 2.8, theta = 16.0 deg.
+beta1_1 = 35.0 // shock angle (in degress)
+
+// degree to radian conversion is done by multiplying by %pi/180
+//
+Mn1 = M1 * sin(beta1_1*%pi/180) // upstream mach number normal to the shock
+
+// from Table A2 for Mn1 = 1.606
+p2_by_p1 = 2.82 // p2/p1
+T2_by_T1 = 1.388 // T2/T1
+Mn2 = 0.6684
+
+
+p2 = p2_by_p1 * p1 // p2 (in atm) = p2/p1 * p1
+T2 = T2_by_T1 * T1 // T2 (in R) = T2/T1 * T1
+
+M2 = Mn2/(sin((beta1_1-theta)*%pi/180)) // mach number behind the shock
+
+// from figure 4.5 from M2 = 2.053, theta = 16.0 deg.
+beta1_2 = 45.5 // shock angle of reflected(in degress)
+
+// degree to radian conversion is done by multiplying by %pi/180
+Mn2 = M2 * sin(beta1_2*%pi/180) // upstream mach number normal to the shock
+
+// from Table A2 for Mn1 = 1.46
+p3_by_p2 = 2.32 // p3/p2
+T3_by_T2 = 1.294 // T3/T2
+Mn3 = 0.7157
+
+
+p3 = p3_by_p2 * p2 // p3 (in atm) = p3/p2 * p2
+T3 = T3_by_T2 * T2 // T3 (in R) = T3/T2 * T2
+
+phi = beta1_2 - theta // (in degrees)
+M3 = Mn3/(sin((beta1_2-theta)*%pi/180)) // mach number behind the reflected shock
+
+
+
+
+// Result
+printf("\n phi %.2f degrees", phi)
+
+printf("\n Pressure behind reflected shock, p3 = %.2f atm", p3)
+
+printf("\n Temperature behind reflected shock, T3 = %.2f R", T3)
+
+printf("\n Mach behind reflected shock, M3 = %.2f ", M3)
+