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1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate, Vo (unit: m/s). Assume constant physical properties (density p, viscosity a, heat capacity Cp, and themal conductivity k) of the fluid. Fluid flow y-o, To Whats the differential equation to describe the temperature profile of the fluid between two plates? a) b) Please list the boundary conditions. c Find the temperature profile, T(y) d) What is the amount of heat qo (unit: W/m that must be removed from the colder plate per unit area as a function of fluid properties and flow rate? Without fluid flow, what is the amount ofheat loss, qo per unit area (unit:W/m) from the cold plate? e)
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