Thermophoretic deposition effect on transient free convection hydromagnetic flow along an accelerated inclined permeable surface with time-dependent temperature and concentration

M. S. Alam, M. M. Rahman

Research output: Contribution to journalArticle

Abstract

This work investigates the thermophoretic deposition effect on a transient free convection hydromagnetic flow along an accelerated infinite inclined permeable surface in the presence of heat generation, suction (or injection), thermal diffusion, and diffusion-thermo taking into account that the surface temperature and concentration are time dependent. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations, which are then solved numerically by applying the shooting method with a sixth-order Runge-Kutta integration scheme. Graphical results for the dimensionless velocity, temperature, concentration distributions as well as wall thermophoretic velocity are reported and examined for the pertinent parameters showing the interesting aspects of the obtained solutions. The local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are also computed. The results show that higher flow rates can be obtained when the temperature and concentration are time independent. Smaller buoyancy is observed for higher temperature indexes. Wall thermophoretic velocity is decreased with the increasing values of the Prandtl number, the thermophoretic parameter, as well as heat generation parameter. The results further show that the presence of thermal diffusion and diffusion-thermo intensify the shear stress but reduce the rate of heat as well as mass transfer.

Original languageEnglish
Pages (from-to)352-367
Number of pages16
JournalHeat Transfer - Asian Research
Volume43
Issue number4
DOIs
Publication statusPublished - 2014

Fingerprint

magnetohydrodynamic flow
Natural convection
free convection
heat generation
thermal diffusion
Thermal diffusion
Heat generation
skin friction
suction
Prandtl number
Nusselt number
buoyancy
partial differential equations
Temperature
coefficient of friction
shear stress
surface temperature
mass transfer
temperature
Skin friction

Keywords

  • Free convection
  • Inclined surface
  • Mass transfer
  • Thermophoresis
  • Transient solution

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

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title = "Thermophoretic deposition effect on transient free convection hydromagnetic flow along an accelerated inclined permeable surface with time-dependent temperature and concentration",
abstract = "This work investigates the thermophoretic deposition effect on a transient free convection hydromagnetic flow along an accelerated infinite inclined permeable surface in the presence of heat generation, suction (or injection), thermal diffusion, and diffusion-thermo taking into account that the surface temperature and concentration are time dependent. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations, which are then solved numerically by applying the shooting method with a sixth-order Runge-Kutta integration scheme. Graphical results for the dimensionless velocity, temperature, concentration distributions as well as wall thermophoretic velocity are reported and examined for the pertinent parameters showing the interesting aspects of the obtained solutions. The local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are also computed. The results show that higher flow rates can be obtained when the temperature and concentration are time independent. Smaller buoyancy is observed for higher temperature indexes. Wall thermophoretic velocity is decreased with the increasing values of the Prandtl number, the thermophoretic parameter, as well as heat generation parameter. The results further show that the presence of thermal diffusion and diffusion-thermo intensify the shear stress but reduce the rate of heat as well as mass transfer.",
keywords = "Free convection, Inclined surface, Mass transfer, Thermophoresis, Transient solution",
author = "Alam, {M. S.} and Rahman, {M. M.}",
year = "2014",
doi = "10.1002/htj.21081",
language = "English",
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journal = "Heat Transfer - Asian Research",
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TY - JOUR

T1 - Thermophoretic deposition effect on transient free convection hydromagnetic flow along an accelerated inclined permeable surface with time-dependent temperature and concentration

AU - Alam, M. S.

AU - Rahman, M. M.

PY - 2014

Y1 - 2014

N2 - This work investigates the thermophoretic deposition effect on a transient free convection hydromagnetic flow along an accelerated infinite inclined permeable surface in the presence of heat generation, suction (or injection), thermal diffusion, and diffusion-thermo taking into account that the surface temperature and concentration are time dependent. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations, which are then solved numerically by applying the shooting method with a sixth-order Runge-Kutta integration scheme. Graphical results for the dimensionless velocity, temperature, concentration distributions as well as wall thermophoretic velocity are reported and examined for the pertinent parameters showing the interesting aspects of the obtained solutions. The local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are also computed. The results show that higher flow rates can be obtained when the temperature and concentration are time independent. Smaller buoyancy is observed for higher temperature indexes. Wall thermophoretic velocity is decreased with the increasing values of the Prandtl number, the thermophoretic parameter, as well as heat generation parameter. The results further show that the presence of thermal diffusion and diffusion-thermo intensify the shear stress but reduce the rate of heat as well as mass transfer.

AB - This work investigates the thermophoretic deposition effect on a transient free convection hydromagnetic flow along an accelerated infinite inclined permeable surface in the presence of heat generation, suction (or injection), thermal diffusion, and diffusion-thermo taking into account that the surface temperature and concentration are time dependent. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations, which are then solved numerically by applying the shooting method with a sixth-order Runge-Kutta integration scheme. Graphical results for the dimensionless velocity, temperature, concentration distributions as well as wall thermophoretic velocity are reported and examined for the pertinent parameters showing the interesting aspects of the obtained solutions. The local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are also computed. The results show that higher flow rates can be obtained when the temperature and concentration are time independent. Smaller buoyancy is observed for higher temperature indexes. Wall thermophoretic velocity is decreased with the increasing values of the Prandtl number, the thermophoretic parameter, as well as heat generation parameter. The results further show that the presence of thermal diffusion and diffusion-thermo intensify the shear stress but reduce the rate of heat as well as mass transfer.

KW - Free convection

KW - Inclined surface

KW - Mass transfer

KW - Thermophoresis

KW - Transient solution

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