Consider two long vertical plates maintained at uniform temperatures Ts,1 > Ts,2. The plates are open at

Question:

Consider two long vertical plates maintained at uniform temperatures Ts,1 > Ts,2. The plates are open at their ends and are separated by the distance 2L.

(a) Sketch the velocity distribution in the space between the plates.

(b) Write appropriate forms of the continuity, momentum, and energy equations for laminar flow between the plates.

(c) Evaluate the temperature distribution, and express your result in terms of the mean temperature, Tm = (Ts,1 + Ts,2 )/2.

-T,2 T,1 7.

(d) Estimate the vertical pressure gradient by assuming the density to be a constant Pm corresponding to Tm. Substituting from the Boussinesq approximation obtain the resulting form of the momentum equation.

(e) Determine the velocity distribution.

Distribution
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