6 Experiments have shown that the transition from laminar

Chapter , Problem 6.26

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6 Experiments have shown that the transition from laminar to turbulent conditions for flow normal to the axis of a long cylinder occurs at a critical Reynolds number of ReD,c 2 105 , where D is the cylinder diameter. Moreover, the transition from incompressible to compressible flow occurs at a critical Mach number of Mac 0.3. For air at a pressure of p 1 atm and temperature T 27 C, determine the critical cylinder diameter Dc below which, if the flow is turbulent, compressibility effects are likely to be important.

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