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author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3765/CH4/EX4.8/Ex4_8.sce | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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diff --git a/3765/CH4/EX4.8/Ex4_8.sce b/3765/CH4/EX4.8/Ex4_8.sce new file mode 100644 index 000000000..782768802 --- /dev/null +++ b/3765/CH4/EX4.8/Ex4_8.sce @@ -0,0 +1,63 @@ +clc +// Example 4.8.py +// A uniform supersonic stream with M1 = 1.5, p1 = 1700 lb/ft^2, and T1 = 460.0 R +// encounters an expansion corner which deflects the stream by and angle theta_2 +// = 20 degrees. Calculate M2, p2, T2, po2, To2, and the angles the forward and +// rearward Mach lines make with respect to the upstream flow direction. + + +// Variable declaration +M1 = 1.5 // upstream mach number +p1 = 1700.0 // upstream pressure (in lb/ft^2) +T1 = 460.0 // upstream temperature (in R) +theta_2 = 20.0 // deflection (in degrees) + + +// Calculations +// subscript 2 means after the expansion fan + +// from Table A5 for M1 = 1.5 +v1 = 11.91 // (in degrees) +mu1 = 41.81 // (in degrees) + +v2 = v1 + theta_2 + +// from Table A5, for v2 = 31.91 +M2 = 2.207 // Mach behind the expansion fan +mu2 = 26.95 // (in degrees) + +// from Table A1 for M1 = 1.5 +po1_by_p1 = 3.671 // po1/p1 +To1_by_T1 = 1.45 // To1/T1 + +// from Table A1 for M2 = 2.207 +po2_by_p2 = 10.81 // po2/p2 +To2_by_T2 = 1.974 // To2/T2 + +p2 = 1/po2_by_p2 * po1_by_p1 * p1 // p2 (in lb/ft^2) = p2/po2 * po2/po1 * po1/p1 * p1 and po2 = po1 +T2 = 1/To2_by_T2 * To1_by_T1 * T1 // T2 (in R) = T2/To2 * To2/To1 * To1/T1 * T1 and To2 = To1 + + +angle_forward = mu1 // angle of forward ray (in degrees) +angle_rearward = mu2 - theta_2 // angle of backward ray (in degrees) + +po2 = po1_by_p1 * p1 // po2 (in lb/ft^2) = po1/p1 * p1 +To2 = To1_by_T1 * T1 // To2 (in R) = To1/T1 * T1 + po1 = po1_by_p1 * p1 // po2 (in lb/ft^2) = po1/p1 * p1 + To1 = To1_by_T1 * T1 // To2 (in R) = To1/T1 * T1 + +// Result +printf("\n M2 = %.3f", M2) + +printf("\n p2 = %.2f lb/ft^2", p2) + +printf("\n T2 = %.2f deg R", T2) + +printf("\n po2 = %.2f lb/ft^2", po2) + +printf("\n To2 = %.2f deg R", To2) + +printf("\n Angle forward = %.2f degrees", angle_forward) + +printf("\n Angle rearward = %.2f degrees", angle_rearward) + |