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Integral transform “infixing” method for nonlinear transient mass-transfer problems

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Abstract

An approximate method is proposed for solving nonlinear problems of transient mass transfer between a wall and a motionless fluid for an arbitrary concentration dependence of the diffusion coefficient. Nonlinear problems compounded with a volume or surface chemical reaction are investigated.

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Abbreviations

a:

linear space scale

C:

concentration

Cs :

surface concentration on wall

C0 :

concentration at initial time

c:

dimensionless concentration

D:

diffusion coefficient D=D(C)

j:

dimensionless diffusion flux onto wall

Ks :

rate constant of surface chemical reaction

Kv :

rate constant of volume chemical reaction

t:

time

X:

distance from wall

Literature cited

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  5. J. Crank, The Mathematics of Diffusion, Oxford Univ. Press (1975).

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Author information

Authors and Affiliations

  1. State Institute of the Nitrogen Industry, Moscow

    A. D. Polyanin & V. V. Dil'man

Authors
  1. A. D. Polyanin
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  2. V. V. Dil'man
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 55, No. 4, pp. 638–643, October, 1988.

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Polyanin, A.D., Dil'man, V.V. Integral transform “infixing” method for nonlinear transient mass-transfer problems. Journal of Engineering Physics 55, 1161–1166 (1988). https://doi.org/10.1007/BF01155227

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  • DOI: https://doi.org/10.1007/BF01155227

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