A forced analytical scheme applied to a two dimensional fin - An unsuccessful venture

Conference · Fri Jan 01 04:00:00 EST 1993

OSTI ID:5929496

Kang, H S; Look, Jr, D C ^[1]

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1. Missouri-Rolla Univ., Rolla (United States)

A comparison is made of the temperature profile in and the heat transfer from a 2D triangular fin, computed using a non-traditional (forced) separation of variables scheme and a finite difference method. The finite difference method is presumed to be the standard. In particular, comparisons of the heat loss from the triangular fin using these two methods as a function of fin size ratio and the values of the Biot number from 0.01 to 1.0 are made where the root temperature and fin's convection coefficients are assumed constant. The results show that (1) the variation of temperature along the fin wall and the heat loss from the fin obtained using the forced method becomes close to those values given by the finite difference method as the value of the Biot number decreases and (2) when Bi is less than 0.1, the forced analytic scheme appears to be an adequate but approximate analytical method applicable to the triangular fin. Unfortunately, when the 1D approximation for this fin is included in this comparison, the forced scheme has larger error than the 1D approximation. 16 refs.

• OSTI ID: 5929496
• Report Number(s): AIAA-Paper--93-2854; CONF-930714--
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
CONVECTION
COOLING
EIGENVALUES
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
FINS
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL MODELS
NUMERICAL SOLUTION
RADIATIVE COOLING
TEMPERATURE DISTRIBUTION
THERMAL ANALYSIS