Convective slip flow of rarefied fluids over a wedge with thermal jump and variable transport properties

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19 Citations (Scopus)

Abstract

Convective slip flow of slightly rarefied fluids over a wedge with thermal jump and temperature dependent transport properties such as fluid viscosity and thermal conductivity is studied numerically. Due to the appearance of a slip condition at the surface of the boundary no self similar solution can be found. Locally similar solutions are obtained numerically by using the widely used and very robust computer algebra software Maple. The nondimensional velocity, temperature, Prandtl number, hydrodynamic boundary layer thickness, displacement thickness, momentum thickness, and thermal boundary layer thickness are displayed graphically for various values of the pertinent parameters. The results show that strong rarefaction and increased angle of wedge significantly controls the growth of the hydrodynamic and thermal boundary layers thickness, which are found to be lower for the flow of constant fluid properties than for the flow of variable fluid properties.

Original languageEnglish
Pages (from-to)468-479
Number of pages12
JournalInternational Journal of Thermal Sciences
Volume50
Issue number4
DOIs
Publication statusPublished - Apr 2011

Fingerprint

slip flow
Transport properties
boundary layer thickness
wedges
Flow of fluids
transport properties
thermal boundary layer
Boundary layers
Fluids
fluids
Hydrodynamics
hydrodynamics
rarefaction
Prandtl number
Algebra
Thermal conductivity
Momentum
algebra
slip
thermal conductivity

Keywords

  • Convective flow
  • Heat transfer
  • Locally self-similar solution
  • Slip flow
  • Variable thermal conductivity
  • Variable viscosity
  • Wedge

ASJC Scopus subject areas

  • Engineering(all)
  • Condensed Matter Physics

Cite this

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abstract = "Convective slip flow of slightly rarefied fluids over a wedge with thermal jump and temperature dependent transport properties such as fluid viscosity and thermal conductivity is studied numerically. Due to the appearance of a slip condition at the surface of the boundary no self similar solution can be found. Locally similar solutions are obtained numerically by using the widely used and very robust computer algebra software Maple. The nondimensional velocity, temperature, Prandtl number, hydrodynamic boundary layer thickness, displacement thickness, momentum thickness, and thermal boundary layer thickness are displayed graphically for various values of the pertinent parameters. The results show that strong rarefaction and increased angle of wedge significantly controls the growth of the hydrodynamic and thermal boundary layers thickness, which are found to be lower for the flow of constant fluid properties than for the flow of variable fluid properties.",
keywords = "Convective flow, Heat transfer, Locally self-similar solution, Slip flow, Variable thermal conductivity, Variable viscosity, Wedge",
author = "Rahman, {M. M.} and Eltayeb, {I. A.}",
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AU - Eltayeb, I. A.

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N2 - Convective slip flow of slightly rarefied fluids over a wedge with thermal jump and temperature dependent transport properties such as fluid viscosity and thermal conductivity is studied numerically. Due to the appearance of a slip condition at the surface of the boundary no self similar solution can be found. Locally similar solutions are obtained numerically by using the widely used and very robust computer algebra software Maple. The nondimensional velocity, temperature, Prandtl number, hydrodynamic boundary layer thickness, displacement thickness, momentum thickness, and thermal boundary layer thickness are displayed graphically for various values of the pertinent parameters. The results show that strong rarefaction and increased angle of wedge significantly controls the growth of the hydrodynamic and thermal boundary layers thickness, which are found to be lower for the flow of constant fluid properties than for the flow of variable fluid properties.

AB - Convective slip flow of slightly rarefied fluids over a wedge with thermal jump and temperature dependent transport properties such as fluid viscosity and thermal conductivity is studied numerically. Due to the appearance of a slip condition at the surface of the boundary no self similar solution can be found. Locally similar solutions are obtained numerically by using the widely used and very robust computer algebra software Maple. The nondimensional velocity, temperature, Prandtl number, hydrodynamic boundary layer thickness, displacement thickness, momentum thickness, and thermal boundary layer thickness are displayed graphically for various values of the pertinent parameters. The results show that strong rarefaction and increased angle of wedge significantly controls the growth of the hydrodynamic and thermal boundary layers thickness, which are found to be lower for the flow of constant fluid properties than for the flow of variable fluid properties.

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