The effects of cross-diffusion and stratification in unsteady currents on vertical plate with power law variation

  • Unique Paper ID: 144234
  • Volume: 3
  • Issue: 8
  • PageNo: 220-227
  • Abstract:
  • In this paper, the influence of viscous dissipation effects, Dufour and Soret effects, stratification effects along with power law variation of both temperature and concentration effects on unsteady natural convective flow of an electrically conducting fluid in a Brinkman porous medium has been analyzed along with vertical plate. By using the non-dimensional transformations in to the governing differential equations, the system expressed into a set of non-linear coupled differential equations along with the boundary conditions. The unconditionally stable implicit finite difference scheme of Crank-Nicolson type has been used to solve the reduced unsteady nonlinear boundary value problem. The Numerical results for velocity, temperature and concentration profiles are analyzed in detail and depicted graphically for various physical parameter values after comparison with available results in literature with good agreement.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{144234,
        author = {Dr Madhava Reddy Ch},
        title = {The effects of cross-diffusion and stratification in unsteady currents on vertical plate with power law variation},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {3},
        number = {8},
        pages = {220-227},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=144234},
        abstract = {In this paper, the influence of viscous dissipation effects, Dufour and Soret effects, stratification effects along with power law variation of both temperature and concentration effects on unsteady natural convective flow of an electrically conducting fluid in a Brinkman porous medium has been analyzed along with vertical plate. By using the non-dimensional transformations in to the governing differential equations, the system expressed into a set of non-linear coupled differential equations along with the boundary conditions. The unconditionally stable implicit finite difference scheme of Crank-Nicolson type has been used to solve the reduced unsteady nonlinear boundary value problem. The Numerical results for velocity, temperature and concentration profiles are analyzed in detail and depicted graphically for various physical parameter values after comparison with available results in literature with good agreement.},
        keywords = {Brinkman porous medium, Crank-Nicolson method, Double stratification, Dufour and Soret effects, Unsteady, Variable temperature and concentration.},
        month = {},
        }

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