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# Ps6 - and 1.0 compare to the Crocco-Busemann relations(both...

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AAE 519 Prof. Schneider, Fall 2009 Problem Set 6 Handed Out: Friday, 23 October Due: Friday, 6 November This is a two-week double-credit problem set Study the similarity solution for the compressible ﬂat plate boundary layer. Use the code that was emailed to you to solve the similarity solution equations for the laminar compressible boundary layer on a ﬂat plate. See also the ﬁle compbleqns.pdf for some analytical analysis. 1. Plot proﬁles of some of the physical parameters for some cases of in- terest to you. Discuss. 2. Modify the code to compute the Reynolds analogy, here taken as C f C H h e h aw - h w = 2 Pr f 00 (0) g 0 (0) . Here, C H is the Stanton number, as in Anderson eqn. 6.65. Plot this ratio, and also C f /C H , for some cases of interest. Discuss how the Reynolds analogy works out diﬀerently for the low speed Falkner-Skan ﬂow, as compared to the compressible ﬂat plate ﬂow. Compare the results to Anderson, 2nd ed., Fig. 6.14. 3. Modify the code to print out the nondimensional total temperature as a function of the height above the wall. For Prandtl number 0.72

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Unformatted text preview: and 1.0, compare to the Crocco-Busemann relations (both ﬁrst and second). Recall that the Crocco-Busemann relations are exact for Pr = 1 . Discuss. How good is the Crocco-Busemann approximation for air? Present your results as a brief report. (over) 1 Possible extensions, for extra credit, are as follows. Results should be de-scribed in the form of a brief report, to be turned in no later than 30 Nov. 2009. The codes should be emailed as an attachment. 1. Plot the proﬁles as a function of ( y/x ) √ Re x , as in Anderson, HHTG, 2e, Fig. 6.7. 2. Plot the ﬂat-plate skin-friction coeﬃcients, as in Anderson, Fig. 6.11. 3. Plot the ﬂat-plate Stanton numbers, as in Anderson Fig. 6.12. 4. Compare the exact recovery factors to the simple Blasius-based theory, as in Anderson Fig. 6.13. 5. Adapt the code to solve for stagnation-point ﬂow, as in Anderson 2e section 6.5.2. 2...
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Ps6 - and 1.0 compare to the Crocco-Busemann relations(both...

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