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Air at a free stream temperature of T 20 C is in parallel
Chapter , Problem 6.12(choose chapter or problem)
Air at a free stream temperature of T 20 C is in parallel flow over a flat plate of length L 5 m and temperature Ts 90 C. However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form T( C) 20 70 exp (600xy), where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient for the plate.
Questions & Answers
QUESTION:
Air at a free stream temperature of T 20 C is in parallel flow over a flat plate of length L 5 m and temperature Ts 90 C. However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form T( C) 20 70 exp (600xy), where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient for the plate.
ANSWER:The local convection coefficient h(x) is given by:
h(x) = (T(x) - T_f)/(Ts - T_f) * Nu
where Nu is the Nusselt number (which is typically assumed to be constant in this flow regime).
Substituting the expression for T(x) in the equation for h(x