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Numerical algorithm for simulation of coupled heat-mass transfer and chemical reaction in two-phase steady flow

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Numerical Analysis and Its Applications (WNAA 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1196))

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Abstract

An iterative algorithm for numerical simulation of coupled heat-mass transfer and chemical reaction around flat interface in two-phase steady laminar flow is presented. The mathematical model is based on the boundary layer approximation of 2D Navier-Stokes equations and corresponding convection-diffusion equations for heat and concentration in both phases. The obtained system of nonlinear partial differential equations is discretized by means of explicit and implicit difference schemes on nonuniform grids. The central or upwind differencing of the convective terms is used. The resulting systems of algebraic equations are linearized and solved by TDMA method. The obtained values of the velocity, concentration and temperature are compared with existing theoretical results at different values of the parameters.

This work is partially supported under Grants MM-443/94 and MM-501/95 by the Ministry of Education and Science — Bulgaria.

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Authors and Affiliations

  1. Department of Computational Mathematics, Institute of Mathematics and Informatics-BAS, Acad. G. Bontchev str., bl.8, 1113, Sofia, Bulgaria

    I. B. Bazhlekov, M. G. Koleva & D. P. Vasileva

Authors
  1. I. B. Bazhlekov
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  2. M. G. Koleva
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  3. D. P. Vasileva
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Editor information

Lubin Vulkov Jerzy Waśniewski Plamen Yalamov

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© 1997 Springer-Verlag Berlin Heidelberg

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Bazhlekov, I.B., Koleva, M.G., Vasileva, D.P. (1997). Numerical algorithm for simulation of coupled heat-mass transfer and chemical reaction in two-phase steady flow. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_77

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  • DOI: https://doi.org/10.1007/3-540-62598-4_77

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62598-8

  • Online ISBN: 978-3-540-68326-1

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