Analysis of stagnation point flow of an incompressible viscous fluid between porous plates with velocity slip

Ashwini Bhat, Nagaraj N. Katagi

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3 Citations (Scopus)

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 R, 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.

Original languageEnglish
Pages (from-to)40-52
Number of pages13
JournalJournal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume48
Issue number1
Publication statusPublished - 01-08-2018

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Porous plates
Equations of motion
Reynolds number
Boundary conditions
Fluids
Chapman's solution

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

Cite this

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AB - 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 R, 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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