Water at atmospheric pressure and temperature ( = 998.2 kg/m 3 , and = 1.003

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 potential flow should be a reasonable approximation? 

(b) Estimate the minimum and maximum speeds |V|_min 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.