ON THE SOLUTION OF NONLINEAR ELLIPTIC CONVECTION-DIFFUSION PROBLEMS THROUGH THE INTEGRAL TRANSFORM METHOD

1 June 1993

journal article
research article
Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals

Vol. 23 (4) , 401-411
https://doi.org/10.1080/10407799308914908

Abstract

The hybrid numerical-analytical solution of nonlinear elliptic convection-diffusion problems is investigated through extension of the ideas in the generalized integral transform technique. An application is selected to illustrate the convergence characteristics of the proposed eigenfunction expansion approach, for different values of the parameters that govern the relative importance of convection and diffusion effects.

Keywords

This publication has 4 references indexed in Scilit:

Integral transform solution for the lid‐driven cavity flow problem in streamfunction‐only formulation
International Journal for Numerical Methods in Fluids, 1992
HYBRID ANALYSIS OF TRANSIENT NON‐LINEAR CONVECTION‐DIFFUSION PROBLEMS
International Journal of Numerical Methods for Heat & Fluid Flow, 1992
Integral transform solutions of diffusion problems with nonlinear equation coefficients
International Communications in Heat and Mass Transfer, 1990
SIMULATION OF MIXED CONVECTION HEAT TRANSFER AT THE WALL OF A PACKED BED
Numerical Heat Transfer, Part A: Applications, 1990