Repeat Prob. 749, but with an additional independent parameter included, namely, the speed of sound c in

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Repeat Prob. 7–49, but with an additional independent parameter included, namely, the speed of sound c in the fluid. Use the method of repeating variables to generate a dimensionless relationship for Kármán vortex shedding frequency fk as a function of free-stream speed V, fluid density ρ, fluid viscosity μ, cylinder diameter D, and speed of sound c. Show all your work.


Data from Problem 49

A periodic Kármán vortex street is formed when a uniform stream flows over a circular cylinder (Fig. P7–49). Use the method of repeating variables to generate a dimensionless relationship for Kármán vortex shedding frequency fas a function of free-stream speed V, fluid density ρ, fluid viscosity μ, and cylinder diameter D. Show all your work.


FIGURE P7–49

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