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Unformatted text preview: AME 341 Mecoptronics II 3May10 Michael Asfaw Summary Page 1 Figure 1: Shock Tube figure depicting distinct flow sections Figure 2: Data taken between the driving and driven section of the shock tube Purpose This report will discuss an experiment in which a shock wave was created in a shock tube, resulting in an incident shock wave and a reflected shock wave. Assuming quasi steady one dimensional flow, the flow properties were computed experimentally, as well as theoretically. When compared to the theoretical curves, it was found that all of the runs exhibited experimental mach numbers matching the theoretical predictions. In addition, the pressure ratio p4/p1 of the shock tube consistently matched the theoretical predictions using numerical iterations. The flow properties also behaved as expected with increasing driving force , p2/p1 .Therefore, it can be concluded that the flow equations held true throughout the experimental shock. . (1) (4) (3) (2) W u p >>0 ∞ ∞ Tail of Expansion Wave Head of Expansion Wave Normal Moving Shock Driver Side 0.00E+00 5.00E01 1.00E+00 34.07 34.075 34.08 34.085 34.09 t (s) V (V) t S t R Plots Conclusion Ultimately, this experiment confirmed the predictions originally made. First, the ratio p4/p1 experimentally was equivalent to the theoretical values consistently throughout all of the runs. This proves that the assumptions of quasi one dimensional steady flow were correct, since these assumptions were made in the process of manipulating the flow equations. In addition, the theoretical mach numbers for the incident and reflected shock waves were consistently equivalent to the experimental mach numbers. Also, Fig. 3 further confirmed the initial predictions and equations. As seen in the plot, all values behave as was expected with increasing p2/p1 . Because p2/p1 is the driving Figure 3: Plot of theoretical values of MS, MR, T2/T1, r2/r1, up and experimental values of MS and MR with uncertainties all varying with p2/p1 Figure 4: Plot of theoretical and experimental values of p4/p1 with respect to p2/p1 Page 3 expected with increasing p2/p1 . Because p2/p1 is the driving force behind the wave, it would be expected that an increase in the ratio would cause an increase in the values shown. This, in fact, is the case as seen in Fig.3. All values increase with increasing p2/p1 and the experimental values plotted are equivalent to the theoretical curves. Results Experimental Results p2/p1 Δp2/p1 p4/p1 Δp4/p1 Ms ΔMs Mr ΔMr 1.408 0.001 2.020 0.003 1.15 0.03 1.1 0.3 1.408 0.001 2.020 0.005 1.2 0.0 1.2 0.3 1.711 0.002 3.070 0.008 1.2 0.1 1.3 0.4 2.020 0.003 4.440 0.017 1.5 0.2 1.4 0.5 2.357 0.006 6.340 0.035 1.6 0.2 1.4 0.7 2.613 0.0800 8.100 0.059 1.7 0.2 1.4 0.8 Assume tha gas is ideal and behaves in the following manner Formulas Used to compute Pressure at each section and Mach numbers: Page 2 Properties of Air γ R 1.4 8.31 Δp2/p1 1.408 0.001 1.1619 0.0004 1.15 0.03 1.1708 0.0005 1.1 0.1 1.408 0.001 1.1619 0.00040....
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 Spring '08
 Spedding
 Trigraph, Fig.3, 0.00320 0.00002 18.23188 0.00002 9.11754 12.88962 4.56043 12.88962 ws, 0.02 22.8 ws, Michael Asfaw

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