By Madassar Manzoor (auth.)
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G. 170]> enables the equation (12) to be re-expressed as, Aug = Rl+Rw+R2 -=--"--" (13) Rl+Rw+£R2 1 1 + --+ Bil W 1 +- Bi2 44 where E is defined by the equation (7). Thus, the sum of z:esistances method results in exactly the same solution as that given by the mathematically rigorous formulation presented in the preceding section. The principal reason for this, besides the similarity in the underlying assumptions, is the similarity in the way in which the thermal interaction between the wall and fins is represented.
Alarcon, C. Brebbia and J. Dominguez, "The boundary element method in elasticity", International Journal of Mechanical Science, Vol. 20, pp. 625-639, 1978. 26 48. Brabbia, Boundary element methods for engineering, Pentech Press, London, 1980. 49. Walker, Boundary element techniques in engineering, Butterworths, London, 1980. 50. Brebbia, Progress in boundary element methods, Volume 1, Pentech Press, London, 1981. 51. Manzoor, "The boundary integral equation solution of non-linear plane potential problems", to appear in the Institute of Mathematics and Its Aplications Journal of Numerical Analysis.
Initially the gain in surface area far outweighs the extra conductive resistance. state is reach~d However, eventually a such that further increases in the fin length are negated by the respective increases in the conductive resistance. The Effects of Variation in the Fin Thickness and Fin Pitch Another prominent aspect of the results presented in Figs. 3 and 4 is the feature that as the Biot number Bi2 is reduced, the variation of the enhancement-factor with the fin thickness is reduced. In practical terms, reductions in Bi2 correspond to reductions in the fin pitch P.