### Abstract

A numerical study of the natural convection combined with thermal radiation inside a square porous cavity filled with a fluid of temperature-dependent viscosity is carried out. The side horizontal walls are assumed to be adiabatic while both the left and right vertical walls are kept at constant but different temperatures. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations formulated in dimensionless stream function, vorticity and temperature variables are solved using finite difference method. A parametric analysis illustrating the effects of the radiation parameter (0 ≤ R_{d} ≤ 10), Darcy number (10^{-5} ≤ Da ≤ 10^{-2}) and viscosity variation parameter (0 ≤ C ≤ 6) on fluid flow and heat transfer is implemented. The results show an essential intensification of convective flow with an increase in the radiation parameter.

Original language | English |
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Journal | Thermal Science |

Volume | 2016 |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### Keywords

- Natural convection
- Numerical method
- Porous medium
- Square cavity
- Temperature-dependent viscosity
- Thermal radiation

### ASJC Scopus subject areas

- Renewable Energy, Sustainability and the Environment

### Cite this

*Thermal Science*,

*2016*. https://doi.org/10.2298/TSCI150722164A

**Effect of thermal radiation on natural convection in a square porous cavity filled with a fluid of temperature-dependent viscosity.** / Astanina, Marina S.; Sheremet, Mikhail A.; Umavathi, Jawali C.

Research output: Contribution to journal › Article

*Thermal Science*, vol. 2016. https://doi.org/10.2298/TSCI150722164A

}

TY - JOUR

T1 - Effect of thermal radiation on natural convection in a square porous cavity filled with a fluid of temperature-dependent viscosity

AU - Astanina, Marina S.

AU - Sheremet, Mikhail A.

AU - Umavathi, Jawali C.

PY - 2016

Y1 - 2016

N2 - A numerical study of the natural convection combined with thermal radiation inside a square porous cavity filled with a fluid of temperature-dependent viscosity is carried out. The side horizontal walls are assumed to be adiabatic while both the left and right vertical walls are kept at constant but different temperatures. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations formulated in dimensionless stream function, vorticity and temperature variables are solved using finite difference method. A parametric analysis illustrating the effects of the radiation parameter (0 ≤ Rd ≤ 10), Darcy number (10-5 ≤ Da ≤ 10-2) and viscosity variation parameter (0 ≤ C ≤ 6) on fluid flow and heat transfer is implemented. The results show an essential intensification of convective flow with an increase in the radiation parameter.

AB - A numerical study of the natural convection combined with thermal radiation inside a square porous cavity filled with a fluid of temperature-dependent viscosity is carried out. The side horizontal walls are assumed to be adiabatic while both the left and right vertical walls are kept at constant but different temperatures. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations formulated in dimensionless stream function, vorticity and temperature variables are solved using finite difference method. A parametric analysis illustrating the effects of the radiation parameter (0 ≤ Rd ≤ 10), Darcy number (10-5 ≤ Da ≤ 10-2) and viscosity variation parameter (0 ≤ C ≤ 6) on fluid flow and heat transfer is implemented. The results show an essential intensification of convective flow with an increase in the radiation parameter.

KW - Natural convection

KW - Numerical method

KW - Porous medium

KW - Square cavity

KW - Temperature-dependent viscosity

KW - Thermal radiation

UR - http://www.scopus.com/inward/record.url?scp=85009159689&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009159689&partnerID=8YFLogxK

U2 - 10.2298/TSCI150722164A

DO - 10.2298/TSCI150722164A

M3 - Article

VL - 2016

JO - Thermal Science

JF - Thermal Science

SN - 0354-9836

ER -