Question

Consider a vertical parallel-plate channel of indefinite length,
with walls at different temperatures. The channel width is 2L and
the wall temperatures are T1 and T2. It is assumed that T2 > T1.
In this system, the heat fluxes in and out of the fluid will come
into balance, yielding a thermally fully developed region with no
streamwise temperature variations. With the temperature (and
buoyancy) force independent of x, it is feasible to have fully
developed flow.

(a) Sketch the velocity and temperature profiles in the space
between the plates.

(b) Assume laminar and fully developed flow, by incorporating the
relevant boundary conditions, evaluate the temperature
distribution.

(c) By applying the Boussinesq approximation and no-slip
conditions, evaluate the velocity distribution.

Answer #1

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