Question: 2. 7 marks Consider a simple fluid mechanical model for the atmosphere of an ideal spherical star that has a surface gas density of
2. 7 marks Consider a simple fluid mechanical model for the atmosphere of an ideal spherical star that has a surface gas density of p. and a radius To The escape velocity from the surface of the star is ve. Assume that a gas leaves the star's surface radially at speed v, uniformly over the star's surface. a. Determine p when u, 2ve so that u = (ur, uo, u) = (v01 - (v/v) (1 (ro/r)),0,0). b) simplify the results from part a) when vo>> ve to find p and u c) simplify the results from part a) when vo- ve to find p and u
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