Analysis of Stagnation Point flow of an Incompressible Viscous Fluid between Porous Plates with Velocity Slip

Authors

  • Ashwini Bhat Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Udupi Karkala Road, Manipal, Karnataka-576104, India
  • Nagaraj N Katagi Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Udupi Karkala Road, Manipal, Karnataka-576104, India

Keywords:

stagnation point flow, slip velocity, computer extended series, homotopy analysis method, Domb-Sykes plot

Abstract

The present study investigates the effects of slip velocity on the stagnation point of an incompressible viscous fluid between porous plates. The appropriate slip boundary conditions have been introduced in place of no-slip condition. The governing equations of motion is solved by Homotopy analysis and Computer extended series method. Padé approximants are further used to increase the domain and rate of convergence of the series so generated. The above methods admits a desired accuracy whose validity increases up to a sufficiently large values of , Reynolds number with different slip coefficients. The approximate analytical results have been verified to be very accurate when compared with the previous solutions observed by Chapman in the absence of slip coefficient.

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Published

2020-12-01

How to Cite

Bhat, A. ., & Katagi, . N. N. . (2020). Analysis of Stagnation Point flow of an Incompressible Viscous Fluid between Porous Plates with Velocity Slip. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 48(1), 40–52. Retrieved from https://www.akademiabaru.com/submit/index.php/arfmts/article/view/2258

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