Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXACT SOLUTIONS OF GENERALIZED STOKES' PROBLEMS FOR AN INCOMPRESSIBLE COUPLE STRESS FLUID FLOWS

  • SIDDIQUE, IMRAN (Department of Mathematics, University of Management and Technology, Lahore Campus) ;
  • UMBREEN, YOUSRA (Department of Mathematics, University of Okara)
  • Received : 2019.05.24
  • Accepted : 2019.09.10
  • Published : 2019.09.30
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Abstract

The ground for this paper is to examine the generalized Stokes' first and second issues for an incompressible couple pressure liquid under isothermal conditions. Exact solutions for each problem are acquired by using the Laplace transform (LT) with respect to the time variable t and the sine Fourier transform (FT) with respect to the y-variable. Further, a comparison is given of the obtained results and the results of Devakar and Lyengar [1] and by using the four inverse Laplace transform algorithms (Stehfest's, Tzou's, Talbot, Fourier series) in the space time domain utilizing a numerical methodology. Moreover, velocity profiles are plotted and considered for various occasions and distinctive estimations of couple stress parameters. At the end, the outcomes are exhibited by graphs and in tabular forms.

Keywords

References

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