Moving plate и, (a) General picture Ton plate Moving plate - y = D At y = D: u = uT = T_ T on fluid Parallel streamlines T, on fluid At y = 0:u = 0,T = T,, Чw y = 0 Fixed surface T„ on surface (b) Detailed model Figure 16.2 Model for Couette flow.
Consider the geometry sketched. The velocity of the upper plate is 200 ft/s, and the two plates are separated by a distance of 0.01 in. The fluid between the plates is air. Assume incompressible flow. The temperature of both plates is the standard sea level value of 519◦R.
(a) Calculate the velocity in the middle of the flow.
(b) Calculate the shear stress.
(c) Calculate the maximum temperature in the flow.
(d) Calculate the heat transfer to either wall.
(e) If the lower wall is suddenly made adiabatic, calculate its temperature.
Given data
Viscosity of air at the given temperature is
(a). The velocity of the flow between two plates in given by
At the middle of the flow
Therefore, velocity
Put the necessary values in above formula we get
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