A large plate of stainless steel with thickness of 5 cm and thermal conductivity of k = 15W/ m-° C is subjected to an internal uniform heat generation throughout the
plate at constant rate of Q = 10 × 106W/m3. One side of the plate is maintained at 0 ° C by ice water, and the other side is subjected to convection to an environment at T∞ = 35 ° C, with heat transfer coefficient h = 40W/m2-° C, as shown in Figure P13–14. Use two elements in a finite element model to estimate the temperatures at each surface and in the middle of the plate’s thickness. Assume a one-dimensional heat transfer through the plate.
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