APPLICATION OF NON-INTEGRAL METHOD TO COMBUSTION AND NATURAL CONVECTION PROBLEMS
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A straightforward, approximate “non-integral” method has been introduced and used to solve the governing differential equations of transport problems with certain assumed profiles for the dependent variables. The method also requires that the integrals of the square of the error incurred by attempting to satisfy the governing equations be minimized. The methodology is illustrated by determining (i) the burning rate of a fuel surface subject to forced convection, and (ii) the natural convective heat transfer on a heated vertical flat surface. The accuracy of this non-integral method is comparable to that of the conventional integral method. When the non-integral method is modified slightly (by settine the total error eaual to zero) the solution is identical to the integral solution. © 1988, Taylor & Francis Group, LLC. All rights reserved.
author list (cited authors)
ANNAMALAI, K., LAU, S. C., SOMASUNDARAM, S., & KIM, Y. S.