problem4-64

# problem4-64 - PROBLEM 4.64 KNOWN Straight fin of uniform...

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PROBLEM 4.64 KNOWN: Straight fin of uniform cross section with prescribed thermal conditions and geometry; tip ondition allows for convection. c FIND: (a) Calculate the fin heat rate, f q , and tip temperature, , assuming one-dimensional heat transfer in the fin; calculate the Biot number to determine whether the one-dimensional assumption is valid, (b) Using the finite-element software FEHT, perform a two-dimensional analysis to determine the fin heat rate and the tip temperature; display the isotherms; describe the temperature field and the heat flow pattern inferred from the display, and (c) Validate your FEHT code against the 1-D nalytical solution for a fin using a thermal conductivity of 50 and 500 W/m K. L T a SCHEMATIC: ASSUMPTIONS: (1) Steady-state conduction with constant properties, (2) Negligible radiation xchange, (3) Uniform convection coefficient. e ANALYSIS: (a) Assuming one-dimensional conduction, L q and can be determined using Eqs.

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