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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