Stagnation point flow and heat transfer over a stretching/shrinking sheet in a viscoelastic fluid with convective boundary condition and partial slip velocity

Muhammad Khairul Anuar Mohamed, Mohdi Zuki Salleh, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this study, the mathematical modeling for the stagnation point flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid (Walter’s liquid-B model) with partial slip velocity is considered. The non-linear partial differential equations are transformed into a system of ordinary differential equations by a similarity transformation before being solved numerically using the Runge-Kutta-Fehlberg method. Numerical solutions are obtained for the surface temperature, temperature gradient at the surface and the skin friction coefficient. The features of the flow and heat transfer characteristics for various values of Prandtl number, the dimensionless viscoelastic parameter, stretching parameter, constant velocity slip parameter and conjugate parameter are analyzed and discussed. It is found that the heat transfer rate is higher for Walter’s fluid compared to the classical viscous fluid and the presence of the velocity slip reduces the effects of the viscoelastic parameter on the skin friction coefficient.

Original languageEnglish
Article number171
JournalEuropean Physical Journal Plus
Volume130
Issue number8
DOIs
Publication statusPublished - 25 Aug 2015

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stagnation point
slip
heat transfer
boundary conditions
fluids
skin friction
coefficient of friction
Runge-Kutta method
viscous fluids
Prandtl number
partial differential equations
surface temperature
temperature gradients
differential equations
liquids

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Stagnation point flow and heat transfer over a stretching/shrinking sheet in a viscoelastic fluid with convective boundary condition and partial slip velocity. / Mohamed, Muhammad Khairul Anuar; Salleh, Mohdi Zuki; Mohd Ishak, Anuar; Pop, Ioan.

In: European Physical Journal Plus, Vol. 130, No. 8, 171, 25.08.2015.

Research output: Contribution to journalArticle

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