False diffusion in convection and diffusion with chemical reaction
type: Item
instance of: scholarly article
title: False diffusion in convection and diffusion with chemical reaction
zbMATH Open document ID: 0544.76092
DOI: 10.1016/S0017-9310(83)80130-6
author: Chung-Hsiung Li
published in: International Journal of Heat and Mass Transfer
publication date: 1983-01-01T00:00:00Z
review text: The effect of the so-called ''false diffusion'' in problems involving diffusion and convection is discussed. The mathematical equation of the problem involves a linear diffusion equation with convection which is given in the form \(C_ t+uC_ x=DC_{xx}-kC\). Using a finite difference scheme the continuous equation is reduced to the difference equation \(C_{j,i}=C_{j-1}+u(\Delta t/\Delta x)(C_{j-1,i-1}-C_{j- 1,i})-kC_{j-1}\Delta t,\) where i and j denote the \(i^{th}\) reaction zone and \(j^{th}\) time step. The author applies the method of moments to obtain the false diffusion coefficient and its effect in unsteady state problems through the above finite difference equation.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 3866902
zbMATH Keywords: linear diffusion equation with convection
zbMATH Keywords: finite difference scheme
zbMATH Keywords: method of moments
zbMATH Keywords: false diffusion coefficient
zbMATH Keywords: unsteady state problems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3866902