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examf_coverplustables - EGN3353C Fluid Mechanics Spring...

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LAST NAME:___________________________ FIRST NAME:________________ SECTION:______ INSTRUCTIONS: Closed book, closed notes, calculator allowed. FORMULAS Conservation of energy in control-volume form, assuming zero shear and other work: Compressible flow: EGN3353C Fluid Mechanics Spring 2011 Final Exam ˙ Q ˙ W shaft = d dt CV ρ e d + CS ρ u + p ρ + V 2 2 + gz V rel · n dA Notation A area a speed of sound k Ratio of specific heats M Mach number ˙ m mass flow p pressure R gas constant T temperature u velocity ρ density Isentropic Flow Subscript 0 and superscript denote stagnation (total) and sonic conditions, respectively. T 0 T = 1 + k 1 2 M 2 (1) p 0 p = T 0 T k k 1 = 1 + k 1 2 M 2 k k 1 (2) ρ 0 ρ = T 0 T 1 k 1 = 1 + k 1 2 M 2 1 k 1 (3) A A = 1 M 2 k + 1 1 + k 1 2 M 2 k +1 2( k 1) (4) ˙ m = ρ uA = ρ a A = 2 k + 1 k +1 2( k 1) p 0 k RT 0 A (5) Normal Shock Waves Subscripts 1 and 2 denote conditions ahead of and behind the shock wave, respectively. ρ 2 ρ 1 = u 1 u 2 = ( k + 1) M 2 1 2 + ( k 1) M 2 1 (6) p 2 p 1 = 1 + 2 k k + 1 M 2 1 1 (7) M 2 = 2 + ( k 1) M 2 1 2 kM 2 1 ( k 1) (8)
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EGN3353C Fluid Mechanics Spring 2011 Final Exam
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Isentropic Flow Table ( γ =1.4) M TITO 0.00 1.0000 0.02 0.9999 0.04 0.9997 0.06 0.9993 0.08 0.9987 0.10 0.9980 0.12 0.9971. 0.1,4 0.9961. 0.1.6 0.9949 0.18 0.9936 0.20 0.9927 0.22 0.9904 0.24 0.9886 0.26 0.9867 0.28 0.9846 0.30 0.9823 0.32 0.9799 0.34 0.9774 0.36 0.9147 0.38 0.9719 0.40 0.9690 0.42 0.9659 0.44 0.9627 0.46 0.9594 0.48 0.9559 0.50 0.9524 0.52 0.9487 0.54 0.9449 0.56 0.9410 0.58 0.9370 0.60 0.9328 0.62 0.9286 0.64 0.9243 0.66 0.9199 0.68 0.9153 0.70 0.9107 0.72 0.9061 0.74 0.9013 0.76 0.8964 0.78 0.8915 0.80 0.8865 0.82 0.8815 0.84 0.8763 0.86 0.8711 0.88 0.8659 0.90 0.8606 0.92 0.8552 plpo plpo AIA* 1.0000 1.0000 oo 0.9997 0.9998 28.9421. 0.9989 0.9992 1.4.4815 0.9975 0.9982 9.66s9 0.9955 0.9968 7.261.6 0.9930 0.9950 5.8218 0.9900 0.9928 4.8643 0.9864 0.9903 4.1824 0.9823 0.9873 3.6727 0.9776 0.9840 3.2779 0.9725 0.9803 2.9635 0.9668 0.9762 2.7076 0.9607 0.9718 2.4956 0.9541 0.9670 2.3173 0.9470 0.9619 2.1656 0.9395 0.9564 2.0351. 0.9315 0.9506 t.92I9 0.9231. 0.9445 t.8229 0.9143 0.9380 1..7358 0.9052 0.9313 1.6587 0.8956 0.9243 1.5901 0.8857 0.9170 r.5289 0.8755 0.9094 r.4740 0.8650 0.9016 r,4246 0.8541 0.8935 1.3801 0.8430 0.8852 1.3398 0.8317 0.8766 1..3034 0.8201 0.8679 7.2703 0.8082 0.8589 1..2403 0.7962 0.8498 t.2t30 0.7840 0.8405 1.1882 0.77t6 0.8310 r.1656 0.759t 0.8213 1_.t451 0.7465 0.8115 1.1265 0.7338 0.8016 t.I097 0.7209 0.79L6 r.0944 0.7080 0.78L4 1.0806 0.6951 0.7712 1.0681 0.68?1 0.7609 1.0s70 0.6691 0.7505 1.0471, 0.6560 0.7400 1.0382 0.6430 0.7295 1.0305 0.6300 0.7189 L0237 0.6170 0.7083 I.0r79 0.6041 0.6977 r.0129 0.5913 0.6870 1.0089 0.5785 0.6764 1.0056 M TITO 0.94 0.8498 0.96 0.8444 0.98 0.8389 1.00 0.8.333 t.02 0.8278 1..04 0.8222 1.06 0.8165 1.08 0.8108 1.10 0.8052 1..\2 0.7994 1..1.4 0.7937 1..16 0.7879 1.18 0.7822 t.20 0.7764 1..22 0.7706 t.24 0.7648 r.26 0.7590 1.28 0.7532 1.30 0.7474 L.32 0.741,6 1.34 0.7358 1,.36 0.7300 1.38 0.7242 1.40 0.tt84 1..42 0.7126
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