problem4-68 - PROBLEM 4.68 KNOWN: Hot-film flux gage for...

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PROBLEM 4.68 KNOWN: Hot-film flux gage for determining the convection coefficient of an adjoining fluid stream by measuring the dissipated electric power, P e , and the average surface temperature, T s,f . FIND: Using the finite-element method of FEHT , determine the fraction of the power dissipation that is conducted into the quartz substrate considering three cases corresponding to convection coefficients of 500, 1000 and 2000 W/m 2 K. S CHEMATIC: ASSUMPTIONS: (1) Steady-state, two-dimensional conduction, (2) Constant substrate properties, (3) Uniform convection coefficient over the hot-film and substrate surfaces, (4) Uniform power dissipation over hot film. ANALYSIS: The symmetrical section shown in the schematic above (right) is drawn into FEHT specifying the substrate material property. On the upper surface, a convection boundary condition (T ,h) is specified over the full width W/2. Additionally, an applied uniform flux boundary condition is specified for the hot-film region (w/2). The remaining surfaces of the two- dimensional system are specified as adiabatic.
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problem4-68 - PROBLEM 4.68 KNOWN: Hot-film flux gage for...

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