Skip to main content
SpringerLink
Log in

A formalism for the solution of problems involving chemical reaction and concentration-dependent diffusion coefficients

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

By using a previously proposed novel integral transform approach, approximate analytical solutions for a certain class of concentration-dependent diffusion and reaction problems can be obtained. Three example problems of increasing complexity are presented to demonstrate the versatility of this technique. Perturbation techniques are also employed to determine asymptotic behaviour of the solutions in the limit of large or small values of some parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Aris R (1975) The mathematical theory of diffusion and reaction in permeable catalysis, Volume 1. Oxford: Clarendon Press.

    Google Scholar 

  2. Crank J (1975) The mathematics of diffusion. Oxford: Clarendon Press.

    Google Scholar 

  3. Do DD and Weiland RH (1980) Application of finite integral transforms to a class of nonlinear differential equations. Submitted to Ind Eng Chem Fundam.

  4. Do DD and Bailey JE (1980) A finite integral transform method for a class of nonlinear boundary value problems. Submitted SIAM J Appl Math.

  5. Do DD and Bailey JE (1980) Useful representations of series solutions for transport problems. Chem Eng Sci; in press.

  6. Lin SH (1979) Concentration-dependent diffusion in a finite slab with and without chemical reaction. J Int Eng Sci 17: 373–378.

    Google Scholar 

Download references

Author information

Author notes

  1. Duong D. Do

    Present address: Department of Chemical Engineering, University of Queensland, St. Lucia, 4067, Brisbane, Queensland, Australia

Authors and Affiliations

  1. Dept. of Chemical Engineering, California Institute of Technology, 91125, Pasadena, CA, USA

    Duong D. Do & James E. Bailey

Authors
  1. Duong D. Do
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. James E. Bailey
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Do, D.D., Bailey, J.E. A formalism for the solution of problems involving chemical reaction and concentration-dependent diffusion coefficients. Appl. Sci. Res. 37, 225–240 (1981). https://doi.org/10.1007/BF00951249

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00951249

Keywords

Search

Navigation