When a hot gas exits a cylindrical smokestack, its

Chapter 2, Problem 55

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When a hot gas exits a cylindrical smokestack, its velocity varies throughout a circular cross section of the smokestack, with the gas near the center of the cross section having a greater velocity than the gas near the perimeter. This phenomenon can be described by the formula where is the maximum velocity of the gas, is the radius of the smokestack, and V is the velocity of the gas at a distance r from the center of the circular cross section. Solve this formula for r.

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