American Journal of Applied Mathematics

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General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid

Received: 19 May 2015    Accepted: 20 May 2015    Published: 09 June 2015
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Abstract

An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.

DOI 10.11648/j.ajam.s.2015030301.12
Published in American Journal of Applied Mathematics (Volume 3, Issue 3-1, June 2015)

This article belongs to the Special Issue Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015)

Page(s) 6-13
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Free Convection, Shear Stress, Rotating Fluid, Viscous Flow, Isothermal Vertical Plate

References
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Author Information
  • Department of Mathematics, University of Management and Technology, Lahore, Pakistan

  • Department of Mathematics, Bahauddin Zakariya University, Multan, Pakistan

  • Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania

  • Department of Mathematics, Bahauddin Zakariya University, Multan, Pakistan; Department of Mathematics, Wenzhou Kean University, Wenzhou, China

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  • APA Style

    M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar. (2015). General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. American Journal of Applied Mathematics, 3(3-1), 6-13. https://doi.org/10.11648/j.ajam.s.2015030301.12

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    ACS Style

    M. A. Imran; Shakila Sarwar; D. Vieru; M. Nazar. General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. Am. J. Appl. Math. 2015, 3(3-1), 6-13. doi: 10.11648/j.ajam.s.2015030301.12

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    AMA Style

    M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar. General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid. Am J Appl Math. 2015;3(3-1):6-13. doi: 10.11648/j.ajam.s.2015030301.12

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  • @article{10.11648/j.ajam.s.2015030301.12,
      author = {M. A. Imran and Shakila Sarwar and D. Vieru and M. Nazar},
      title = {General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid},
      journal = {American Journal of Applied Mathematics},
      volume = {3},
      number = {3-1},
      pages = {6-13},
      doi = {10.11648/j.ajam.s.2015030301.12},
      url = {https://doi.org/10.11648/j.ajam.s.2015030301.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.s.2015030301.12},
      abstract = {An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.},
     year = {2015}
    }
    

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    AB  - An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.
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