Chemical Engineering > GATE 2023 > Convection
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature Ts as shown in the figure below. The velocity and temperature of the free stream are u∞ and T∞, respectively. When the fluid flow is only in the x-direction, hx is the local heat transfer coefficient. Similarly, when the fluid flow is only in the y-direction, hy is the corresponding local heat transfer coefficient. Use the correlation Nu = 0.332 (Re)1/2 (Pr)1/3 for the local heat transfer coefficient, where Nu, Re, and Pr are the appropriate Nusselt, Reynolds, and Prandtl numbers, respectively. The average heat transfer coefficients are defined as h̅l = (1/l) ∫0l hx dx and h̅w = (1/w) ∫0w hy dy. If w = 1 m and l = 4 m, the value of the ratio of h̅w to h̅l is _______ (in integer).

Correct : 2

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heat transfer laminar flow rectangular plate heat transfer GATE Chemical Engineering 2023 chemical engineering gate heat transfer laminar flow Nusselt number Reynolds number Prandtl number local heat transfer coefficient average heat transfer coefficient chemical engineering correlation GATE 2023 questions

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