problem4-67

# problem4-67 - PROBLEM 4.67 KNOWN Symmetrical section of a...

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PROBLEM 4.67 KNOWN: Symmetrical section of a flow channel with prescribed values of q and k, as well as the surface convection conditions. See Problem 4.46. ± . FIND: Using the finite-element method of FEHT, (a) Determine the temperature distribution and plot the isotherms; identify the coolest and hottest regions, and the region with steepest gradients; describe the heat flow field, (b) Calculate the heat rate per unit length (W/m) from the outer surface A to the adjacent fluid, (c) Calculate the heat rate per unit length (W/m) to surface B from the inner fluid, and d) Verify that the results are consistent with an overall energy balance on the section. ( SCHEMATIC: 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, material property and generation. The View | Temperature Contours command is used to represent ten isotherms (isopotentials) that have minimum and maximum values of 82.1 ° C and 125.2

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