Water at atmospheric pressure and temperature (? = 998.2

Chapter 10, Problem 63P

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Problem 63P

Water at atmospheric pressure and temperature (ρ = 998.2 kg/m3 and μ = 1.003 × 10-3 kg/m -s) at free stream velocity V = 0.100481 m/s flows over a two-dimensional circular cylinder of diameter d = 1.00 m. Approximate the flow as potential flow. (a) Calculate the Reynolds number, based on cylinder diameter. Is Re large enough that poiential flow should be a reasonable approximation? (b) Estimate the minimum and maximum speeds |v|mm and |v| max (speed is the magnitude of velocity) and the maximum and minimum pressure difference P - P ∞ in the flow, along with their respective locations;