Abstract
Steady-state external natural convection heat transfer from isothermal, vertically mounted rectangular fins is modeled analytically. An integral technique is used to solve the governing equations. Compact relationships are developed for the velocity and temperature profiles for the buoyancy-driven channel flow for the range. Comprehensive numerical and experimental studies are performed. The proposed analytical model is successfully validated against the numerical data with the maximum relative differences of 9.8 and 3.5% for velocity and temperature profiles, respectively. Also, new semianalytical local and average Nusselt numbers are reported as functions of the Rayleigh number, temperature difference, and fin aspect ratio; and they are compared against the experimental data with good accuracy of 1.6% maximum relative difference.
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