PROBLEM 4.65KNOWN:Long rectangular bar having one boundary exposed to a convection process (T∞, h) while he other boundaries are maintained at constant temperature Ts. tFIND:Using the finite-element method of FEHT, (a) Determine the temperature distribution, plot the isotherms, and identify significant features of the distribution, (b) Calculate the heat rate per unit length (W/m) into the bar from the air stream, and (c) Explore the effect on the heat rate of increasing the convection coefficient by factors of two and three; explain why the change in the heat rate is not roportional to the change in the convection coefficient. pSCHEMATIC:ASSUMPTIONS:(1) Steady-state, two-dimensional conduction, (2) Constant properties. ANALYSIS:(a) The symmetrical section shown in the schematic is drawn in FEHT with the specified boundary conditions and material property. The View| Temperature Contourscommand is used to represent ten isotherms (isopotentials) that have minimum and maximum values of 53.9°C and 85.9°C, respectively. Because of the symmetry boundary condition, the isotherms are normal to the center-plane indicating
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