Radiation effects on free convection over a vertical flat plate embedded in a porous medium with high porosity

Hossain, Md. Anwar; Pop, I.

doi:10.1016/s1290-0729(00)01210-2

Cited by 26 publications

(20 citation statements)

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“…1 Schematic view of the fin (5) Based on the studies of Ali et al (1984), Hossain and Pop (2001), and Kiwan (2007) and in order to reduce the complexity of the problem of radiative heat flux, the porous medium is assumed to behave as an optically thick gas. (6) A uniform magnetic field is applied in y-direction as depicted in Fig.…”

Section: Porous Finmentioning

confidence: 99%

The Effect of MHD on a Porous Fin Attached to a Vertical Isothermal Surface

2010

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The effect of MHD on the total heat transfer from a porous fin attached to a vertical isothermal surface has been investigated. The Maxwell equations have been used, and also Rosseland approximation for radiation heat transfer and Darcy model for simulating the flow in porous medium have been adapted. The governing equations are reduced to a nonlinear ODE. The fin is supposed to be an infinite fin, which is exposed to a magnetic field. The dimensionless temperature profile, and the average Nusselt number profiles have been obtained for different Rayleigh numbers and porosities. Validation is carried out by comparing the results obtained in this study with those predicted by Darcy-Brinkman-Forchheimer model. KeywordsHeat transfer · Porous fin · Darcy model · Darcy-Brinkman-Forchheimer · MHD List of Symbols ACross sectional area (m 2 ) B 0 Magnetic field intensity (T)Thermal conductivity (W m −1 K −1 ) k r Thermal conductivity ratio, k eff /k f A. Taklifi (B) 123 216 A. Taklifi et al. KPermeability of the porous fin (m 2 ) mMass flow rate (kg s −1 ) P Fin perimeter (m) RdRadiation-conduction parameter,Temperature at the fin base (K) uAxial velocity (m s −1 ) v Normal velocity (m s −1 ) V Macroscopic velocity of electrons (m s −1 ) ϑ w Average velocity of the fluid passing through the fin at any point (m s −1 ) x Axial coordinate y Transverse coordinateGreek Symbols α Thermal diffusivity (m 2 s −1 )Kinematic viscosity (m 2 s −1 ) σ Electric conductivity ( −1 m −1 ) σ st Stefan-Boltzmann constant (W m 2 K 4 ) ρDensity of the fluid (kg m −3 ) ρ ε Electrical density (A m −3 )

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Section: Porous Finmentioning

confidence: 99%

The Effect of MHD on a Porous Fin Attached to a Vertical Isothermal Surface

2010

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“…The thermal radiation effects in a steady free convective flow through a porous medium bounded by a vertical infinite porous plate have been considered by Raptis (1998). Hussain and Pop (2001) studied the radiation effects on stationary free convection of an optically thin dense fluid along an isothermal vertical surface embedded in a porous medium with highly porosity using Brinkman-Forchheimer-Darcy extended model, by means of two different numerical techniques, the Keller-box method and the local non-similarity scheme. Jaiswal and Soundalgekar (2001) obtained an approximate solution to the problem of an unsteady flow past an infinite vertical plate with constant suction and embedded in a porous medium with oscillating plate temperature.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD chemically reacting fluid through a porous medium bounded by a non-isothermal impulsively-started vertical plate: a numerical technique

Ahmed

Kalita

2014

J. nav. arch. mar. engg.

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Abstract:A ) on the velocity, temperature and concentration fields have been studied. The local skin friction, Nusselt number and the Sherwood number are also presented graphically and analyzed. Increasing magnetic parameter serves to decelerate the flow but increased temperature and concentration values. It is found that the velocity is increased considerably with a rise in the porosity parameter (K) whereas the temperature and concentration are found to be reduced with increasing porosity (K). An increase in the porosity

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“…They presented the effect of radiation parameter (Rd = 0-1), aspect ratio and radius on the average Nusselt number and they found that the average Nusselt number increased significantly with increasing the radiation parameter. Hossain and Pop [17] studied the radiation effects on free convection over a vertical plate embedded in a porous medium with high porosity. They presented the effect of several parameters on the local skin friction and the local rate of heat transfer.…”

Section: Introductionmentioning

confidence: 99%

“…They presented the effect of several parameters on the local skin friction and the local rate of heat transfer. It should be mentioned that references [13][14][15][16][17] deal with one fluid domain (i.e., porous domain) and they invoked the Local Thermal Equilibrium (LTE) assumption in writing the energy equation and they used Rosseland approximation to model the radiation heat transfer.…”

Section: Introductionmentioning

confidence: 99%