ae369_homework6_fall10

ae369_homework6_fall10 - Due Thursday, December 9th by noon...

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Unformatted text preview: Due Thursday, December 9th by noon Reading Assignment: Chapter 6 and Section 17.6 of your textbook. 1. A sharp cone with a half-cone angle of θ c = 15 o is tested in a hypersonic wind tunnel at a Mach number of 10.6 at zero degrees angle of attack. If the total pressure and the total temperature at the stagnation chamber of the wind tunnel are 1200 psi and 2000 o R respectively and assuming the temperature of the cone surface (wall € temperature) is 560 o R : a. Using the reference temperature method, estimate the shear stress and the heat transfer to the wall at a location 14.3 inches away from the apex measured along the cone surface assuming laminar flow. € b. Using the reference temperature method, estimate the shear stress and the heat transfer to the wall at a location 14.3 inches away from the apex measured along the cone surface assuming turbulent flow. 2. Consider the spherically blunted bi-conic nose geometry of a hypersonic ICBM shown in Question 1 of homework 5. Assuming the same free-stream conditions given in that question (free-stream Mach number of M∞ = 18 at an altitude of 15 km and zero degrees angle of attack) and a wall temperature of Tw = 2000 K , a. Calculate the stagnation-point heat transfer for the given nose cone geometry using calorically perfect gas assumption € b. Calculate the stagnation-point heat transfer for the given nose cone geometry using air in thermo-chemical equilibrium€ assumption (Assume that the term including the Le number is approximately equal to 1.0, i.e., neglect the heat transfer due to diffusion by assuming hD = 0.0) . AE-369 Homework 6, Fall 2010 € € ...
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