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Diffstat (limited to '3765/CH4/EX4.1/Ex4_1.sce')
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diff --git a/3765/CH4/EX4.1/Ex4_1.sce b/3765/CH4/EX4.1/Ex4_1.sce new file mode 100644 index 000000000..2f60855cb --- /dev/null +++ b/3765/CH4/EX4.1/Ex4_1.sce @@ -0,0 +1,57 @@ +clc +// Example 4.1.py +// A uniform supersonic stream with M1 = 3.0, p1 = 1 atm, T1 = 288 K encounters +// a compression corner which deflects the stream by an angle theta = 20 deg. +// Calculate the shock wave angle, and p2, T2, M2, po2 and To2 behind the shock +// wave. + + +// Variable declaration +M1 = 3.0 // upstream mach number +p1 = 1.0 // upstream pressure (in atm) +T1 = 288 // upstream temperature (in K) +theta = 20 // deflection (in degrees) + +// Calculations +// subscript 2 means behind the shock + +// from figure 4.5 from M1 = 3.0, theta = 20.0 deg. +beta1 = 37.5 // shock angle (in degress) + +// degree to radian conversion is done by multiplying by %pi/180 +// +Mn1 = M1 * sin(beta1*%pi/180) // upstream mach number normal to the shock + +// from Table A2 for Mn1 = 1.826 +p2_by_p1 = 3.723 // p2/p1 +T2_by_T1 = 1.551 // T2/T1 +Mn2 = 0.6108 +po2_by_po1 = 0.8011 // po2/po1 + +p2 = p2_by_p1 * p1 // p2 (in atm) = p2/p1 * p1 +T2 = T2_by_T1 * T1 // T2 (in K) = T2/T1 * T1 + +M2 = Mn2/(sin((beta1-theta)*%pi/180)) // mach number behind the shock + +// from A1 for M1 = 3.0 +po1_by_p1 = 36.73 +To1_by_T1 = 2.8 + +po2 = po2_by_po1 * po1_by_p1 * p1 // po2 (in atm) = po2/po1 * po1/p1 * p1 +To1 = To1_by_T1 * T1 // To2 (in atm) = To2/To1 * To1/T1 * T1 +To2 = To1_by_T1 * T1 // To2 (in atm) = To2/To1 * To1/T1 * T1 + + +// Result +printf("\n Shock wave angle %.2f degrees",(beta1)) + +printf("\n p2 = %.2f atm", p2) + +printf("\n T2 = %.2f K", T2) + +printf("\n M2 = %.2f ", M2) + +printf("\n po2 = %.2f atm", po2) + +printf("\n To2 = %.2f K", To2) + |