Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux

Ammar I. Alsabery, Habibis Saleh, Ishak Hashim

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperature Tc and the left inclined wall has a constant heat flux q with length S, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0deg; ≤ w ≤ π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (-π/3≤phi;≤p/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decreasewith an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

Original languageEnglish
Pages (from-to)463-484
Number of pages22
JournalAdvances in Applied Mathematics and Mechanics
Volume9
Issue number2
DOIs
Publication statusPublished - 1 Apr 2017

Fingerprint

Viscous Dissipation
Natural Convection
Oblique
Magnetohydrodynamics
Heat Flux
Natural convection
Heat flux
Cavity
Radiation
Inclination
Inclined
Streamlines
Increment
Isotherms
Governing equation
Angle
Boussinesq Approximation
Rayleigh number
Remainder
Heat Transfer

Keywords

  • Heat transfer
  • MHD natural convection
  • Porousmedia
  • Radiation
  • Viscous dissipation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Applied Mathematics

Cite this

Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux. / Alsabery, Ammar I.; Saleh, Habibis; Hashim, Ishak.

In: Advances in Applied Mathematics and Mechanics, Vol. 9, No. 2, 01.04.2017, p. 463-484.

Research output: Contribution to journalArticle

@article{8fd1f464ac204a319b6a7af60380beaa,
title = "Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux",
abstract = "Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperature Tc and the left inclined wall has a constant heat flux q with length S, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0deg; ≤ w ≤ π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (-π/3≤phi;≤p/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decreasewith an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.",
keywords = "Heat transfer, MHD natural convection, Porousmedia, Radiation, Viscous dissipation",
author = "Alsabery, {Ammar I.} and Habibis Saleh and Ishak Hashim",
year = "2017",
month = "4",
day = "1",
doi = "10.4208/aamm.2014.m765",
language = "English",
volume = "9",
pages = "463--484",
journal = "Advances in Applied Mathematics and Mechanics",
issn = "2070-0733",
publisher = "Global Science Press",
number = "2",

}

TY - JOUR

T1 - Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux

AU - Alsabery, Ammar I.

AU - Saleh, Habibis

AU - Hashim, Ishak

PY - 2017/4/1

Y1 - 2017/4/1

N2 - Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperature Tc and the left inclined wall has a constant heat flux q with length S, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0deg; ≤ w ≤ π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (-π/3≤phi;≤p/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decreasewith an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

AB - Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperature Tc and the left inclined wall has a constant heat flux q with length S, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤Ha≤20), inclination angle of the magnetic field (0deg; ≤ w ≤ π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (-π/3≤phi;≤p/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decreasewith an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

KW - Heat transfer

KW - MHD natural convection

KW - Porousmedia

KW - Radiation

KW - Viscous dissipation

UR - http://www.scopus.com/inward/record.url?scp=85009230386&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009230386&partnerID=8YFLogxK

U2 - 10.4208/aamm.2014.m765

DO - 10.4208/aamm.2014.m765

M3 - Article

AN - SCOPUS:85009230386

VL - 9

SP - 463

EP - 484

JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

SN - 2070-0733

IS - 2

ER -