After completing its mission in orbit around the earth, the Space Shuttle enters the earth’s atmosphere at a very high Mach number and, under the influence of aerodynamic drag, slows as it penetrates more deeply into the atmosphere. (These matters are discussed in Ch. 8.) During its atmospheric entry, assume that the shuttle is flying at Mach number M corresponding to the altitudes h: Calculate the corresponding values of the free-stream dynamic pressure at each one of these flight path points. Suggestion: Use the result from Prob. 4.28. Examine and comment on the variation of q~ as the shuttle enters the atmosphere. Prob. 4.28. The dynamic pressure is defined as q = 0.5pV2. For high-speed flows, where Mach number is used frequently, it is convenient to express q in terms of pressure p and Mach number M rather than p and V. Derive an equation for q = q(p, M).
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