explain how to develop an expression for temp profile using energy equation.

1. Forced convection between parallel plates. A fluid flows between parallel plates and a constant heat flux, qy, is applied at both surfaces, as described in the figure below. Fluid motion is driven by the upper surface (located at y=h) which slides in the positive x- direction with a constant velocity V. The lower planar surface is stationary and is located at y=0. q y=h y = 0 q Starting with the appropriate from of the energy equation (BSL Table B.9), develop an expression for the temperature profile through the fluid. For boundary conditions, assume that the temperature of both surfaces is Ts at some arbitrary x-position. Be sure to clearly identify any assumptions you make in your analysis. Hint: Remember that dT/dz is constant for a constant heat flux. 1pc, DT/Dt = kV?T+0,1 Cartesian coordinates (x,y,z): pc, ( + + +0. z ? = k + ? ? + . (B.9-1) Cylindrical coordinates (r.0,z): 1 ?? pc, (27 at +0, U + + . ar z ) - (1 (5) + + + + 8, or + . (.9-2) Spherical coordinates (r,0,0): , al sin e 1 + 2 sin e + + r sin + . (.9-3- + 1 ? 2 sin' + Orar ) - [## (*). ti 1 n The