Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties

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Abstract

This paper studies the heat transfer process in a two-dimensional steady hydromagnetic natural convective flow of a micropolar fluid over an inclined permeable plate subjected to a constant heat flux condition. The analysis accounts for both temperature dependent viscosity and temperature dependent thermal conductivity. The local similarity equations are derived and solved numerically using the Nachtsheim-Swigert iteration procedure. Results for the dimensionless velocity and temperature profiles and the local rate of heat transfer are displayed graphically delineating the effect of various parameters characterizing the flow. The results show that in modeling the thermal boundary layer flow when both the viscosity and thermal conductivity are temperature dependent, the Prandtl number must be treated as a variable to obtain realistic results. As the thermal conductivity parameter increases, it promotes higher velocities and higher temperatures in the respective boundary layers. The wall shear stress increases with the increase of thermal conductivity parameter. This is true of electrically conducting as well as electrically non-conducting fluids. The presence of heat generation invigorates the flow and produces larger values of the local Nusselt number compared with the case of zero heat generation.

Original languageEnglish
Pages (from-to)993-1002
Number of pages10
JournalInternational Journal of Thermal Sciences
Volume49
Issue number6
DOIs
Publication statusPublished - Jun 2010

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micropolar fluids
thermal conductivity
heat transfer
Heat transfer
Thermal conductivity
Fluids
heat generation
fluids
Heat generation
viscosity
thermal boundary layer
Temperature
temperature
boundary layer flow
convective flow
Viscosity
Prandtl number
Nusselt number
temperature profiles
magnetohydrodynamics

Keywords

  • Convective flow
  • Heat transfer
  • Inclined surface
  • Locally self-similar solution
  • Micropolar fluid
  • Variable electric conductivity
  • Variable thermal conductivity
  • Variable viscosity

ASJC Scopus subject areas

  • Engineering(all)
  • Condensed Matter Physics

Cite this

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title = "Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties",
abstract = "This paper studies the heat transfer process in a two-dimensional steady hydromagnetic natural convective flow of a micropolar fluid over an inclined permeable plate subjected to a constant heat flux condition. The analysis accounts for both temperature dependent viscosity and temperature dependent thermal conductivity. The local similarity equations are derived and solved numerically using the Nachtsheim-Swigert iteration procedure. Results for the dimensionless velocity and temperature profiles and the local rate of heat transfer are displayed graphically delineating the effect of various parameters characterizing the flow. The results show that in modeling the thermal boundary layer flow when both the viscosity and thermal conductivity are temperature dependent, the Prandtl number must be treated as a variable to obtain realistic results. As the thermal conductivity parameter increases, it promotes higher velocities and higher temperatures in the respective boundary layers. The wall shear stress increases with the increase of thermal conductivity parameter. This is true of electrically conducting as well as electrically non-conducting fluids. The presence of heat generation invigorates the flow and produces larger values of the local Nusselt number compared with the case of zero heat generation.",
keywords = "Convective flow, Heat transfer, Inclined surface, Locally self-similar solution, Micropolar fluid, Variable electric conductivity, Variable thermal conductivity, Variable viscosity",
author = "Rahman, {Mohammad M.} and A. Aziz and Al-Lawatia, {Mohamed A.}",
year = "2010",
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language = "English",
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T1 - Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties

AU - Rahman, Mohammad M.

AU - Aziz, A.

AU - Al-Lawatia, Mohamed A.

PY - 2010/6

Y1 - 2010/6

N2 - This paper studies the heat transfer process in a two-dimensional steady hydromagnetic natural convective flow of a micropolar fluid over an inclined permeable plate subjected to a constant heat flux condition. The analysis accounts for both temperature dependent viscosity and temperature dependent thermal conductivity. The local similarity equations are derived and solved numerically using the Nachtsheim-Swigert iteration procedure. Results for the dimensionless velocity and temperature profiles and the local rate of heat transfer are displayed graphically delineating the effect of various parameters characterizing the flow. The results show that in modeling the thermal boundary layer flow when both the viscosity and thermal conductivity are temperature dependent, the Prandtl number must be treated as a variable to obtain realistic results. As the thermal conductivity parameter increases, it promotes higher velocities and higher temperatures in the respective boundary layers. The wall shear stress increases with the increase of thermal conductivity parameter. This is true of electrically conducting as well as electrically non-conducting fluids. The presence of heat generation invigorates the flow and produces larger values of the local Nusselt number compared with the case of zero heat generation.

AB - This paper studies the heat transfer process in a two-dimensional steady hydromagnetic natural convective flow of a micropolar fluid over an inclined permeable plate subjected to a constant heat flux condition. The analysis accounts for both temperature dependent viscosity and temperature dependent thermal conductivity. The local similarity equations are derived and solved numerically using the Nachtsheim-Swigert iteration procedure. Results for the dimensionless velocity and temperature profiles and the local rate of heat transfer are displayed graphically delineating the effect of various parameters characterizing the flow. The results show that in modeling the thermal boundary layer flow when both the viscosity and thermal conductivity are temperature dependent, the Prandtl number must be treated as a variable to obtain realistic results. As the thermal conductivity parameter increases, it promotes higher velocities and higher temperatures in the respective boundary layers. The wall shear stress increases with the increase of thermal conductivity parameter. This is true of electrically conducting as well as electrically non-conducting fluids. The presence of heat generation invigorates the flow and produces larger values of the local Nusselt number compared with the case of zero heat generation.

KW - Convective flow

KW - Heat transfer

KW - Inclined surface

KW - Locally self-similar solution

KW - Micropolar fluid

KW - Variable electric conductivity

KW - Variable thermal conductivity

KW - Variable viscosity

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