Mixed convection boundary layer stagnation-point flow of a Jeffery fluid past a permeable vertical flat plate

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4 Citations (Scopus)

Abstract

This paper analyzes the combined effects of buoyancy force, mass flux, and variable surface temperature on the stagnation point flow and heat transfer due to a Jeffery fluid over a vertical surface. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then solved numerically using the function bvp4c from computer algebra software Matlab. Numerical results are obtained for skin friction coefficient, Nusselt number as well as dimensionless velocity and temperature profiles for various values of the controlling parameters namely mixed convection parameter λ, mass flux parameter s, elastic parameter (Deborah number) λ, and the ratio of relaxation and retardation time parameter λ1. The results indicate that dual solutions exist in a certain range of the mixed convection and mass flux parameters. In order to establish the physically realizable of these solutions, a stability analysis has also been performed. The results indicate that mixed convection and mass flux significantly affects the nature of the solutions, skin friction, and Nusselt number of a Jeffery fluid.

Original languageEnglish
Pages (from-to)687-696
Number of pages10
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume69
Issue number12
DOIs
Publication statusPublished - Dec 1 2014

Fingerprint

Stagnation Point Flow
Mixed Convection
Mixed convection
stagnation point
Boundary Layer Flow
Flat Plate
flat plates
boundary layers
Mass flux
Boundary layers
convection
Mass transfer
Vertical
Fluid
Fluids
Skin friction
fluids
Nusselt number
skin friction
Skin Friction

Keywords

  • Boundary layer
  • Dual solutions
  • Jeffery fluid
  • Mixed convection
  • Stagnation-point flow

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

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title = "Mixed convection boundary layer stagnation-point flow of a Jeffery fluid past a permeable vertical flat plate",
abstract = "This paper analyzes the combined effects of buoyancy force, mass flux, and variable surface temperature on the stagnation point flow and heat transfer due to a Jeffery fluid over a vertical surface. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then solved numerically using the function bvp4c from computer algebra software Matlab. Numerical results are obtained for skin friction coefficient, Nusselt number as well as dimensionless velocity and temperature profiles for various values of the controlling parameters namely mixed convection parameter λ, mass flux parameter s, elastic parameter (Deborah number) λ, and the ratio of relaxation and retardation time parameter λ1. The results indicate that dual solutions exist in a certain range of the mixed convection and mass flux parameters. In order to establish the physically realizable of these solutions, a stability analysis has also been performed. The results indicate that mixed convection and mass flux significantly affects the nature of the solutions, skin friction, and Nusselt number of a Jeffery fluid.",
keywords = "Boundary layer, Dual solutions, Jeffery fluid, Mixed convection, Stagnation-point flow",
author = "Rahman, {Mohammad M.} and Ioan Pop",
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T1 - Mixed convection boundary layer stagnation-point flow of a Jeffery fluid past a permeable vertical flat plate

AU - Rahman, Mohammad M.

AU - Pop, Ioan

PY - 2014/12/1

Y1 - 2014/12/1

N2 - This paper analyzes the combined effects of buoyancy force, mass flux, and variable surface temperature on the stagnation point flow and heat transfer due to a Jeffery fluid over a vertical surface. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then solved numerically using the function bvp4c from computer algebra software Matlab. Numerical results are obtained for skin friction coefficient, Nusselt number as well as dimensionless velocity and temperature profiles for various values of the controlling parameters namely mixed convection parameter λ, mass flux parameter s, elastic parameter (Deborah number) λ, and the ratio of relaxation and retardation time parameter λ1. The results indicate that dual solutions exist in a certain range of the mixed convection and mass flux parameters. In order to establish the physically realizable of these solutions, a stability analysis has also been performed. The results indicate that mixed convection and mass flux significantly affects the nature of the solutions, skin friction, and Nusselt number of a Jeffery fluid.

AB - This paper analyzes the combined effects of buoyancy force, mass flux, and variable surface temperature on the stagnation point flow and heat transfer due to a Jeffery fluid over a vertical surface. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then solved numerically using the function bvp4c from computer algebra software Matlab. Numerical results are obtained for skin friction coefficient, Nusselt number as well as dimensionless velocity and temperature profiles for various values of the controlling parameters namely mixed convection parameter λ, mass flux parameter s, elastic parameter (Deborah number) λ, and the ratio of relaxation and retardation time parameter λ1. The results indicate that dual solutions exist in a certain range of the mixed convection and mass flux parameters. In order to establish the physically realizable of these solutions, a stability analysis has also been performed. The results indicate that mixed convection and mass flux significantly affects the nature of the solutions, skin friction, and Nusselt number of a Jeffery fluid.

KW - Boundary layer

KW - Dual solutions

KW - Jeffery fluid

KW - Mixed convection

KW - Stagnation-point flow

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