A diffusion-type problem with variable diffusion coefficient in multi-layer slab

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Abstract

The general diffusion-type problem in a three-dimensional, multi-layer slab with variable diffusion coefficient is investigated. The resulting nonlinear partial differential equations are transformed to a system of simultaneous linear partial differential equations by using the Kirchhoff transformation and can, then, be solved. The present method provides a viable analytical tool for solutions of this kind of nonlinear problems.

Original languageEnglish
Pages (from-to)841-849
Number of pages9
JournalInternational Communications in Heat and Mass Transfer
Volume19
Issue number6
DOIs
Publication statusPublished - 1992 Jan 1

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partial differential equations
Partial differential equations
slabs
diffusion coefficient

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

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abstract = "The general diffusion-type problem in a three-dimensional, multi-layer slab with variable diffusion coefficient is investigated. The resulting nonlinear partial differential equations are transformed to a system of simultaneous linear partial differential equations by using the Kirchhoff transformation and can, then, be solved. The present method provides a viable analytical tool for solutions of this kind of nonlinear problems.",
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A diffusion-type problem with variable diffusion coefficient in multi-layer slab. / Chang, Keh-Chin.

In: International Communications in Heat and Mass Transfer, Vol. 19, No. 6, 01.01.1992, p. 841-849.

Research output: Contribution to journalArticle

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