Unsteady Flow Through a Highly Porous Medium in the Presence of Radiation

Raptis, A.; Perdikis, C.

doi:10.1023/b:tipm.0000038262.65594.e8

Cited by 33 publications

(24 citation statements)

References 13 publications

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“…Kumari and Nath [9] studied the radiation effect on the non-Darcy mixed convection flow over a nonisothermal horizontal surface (a power-law variation) in a porous medium. Raptis and Perdikis [10] studied the unsteady flow through a highly porous medium in the presence of radiation.…”

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Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Zueco

2007

Commun. Numer. Meth. Engng.

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SUMMARYA numerical solution for the transient two-dimensional free convection flow of viscous dissipative fluid over an infinite vertical plate through a porous medium bounded, taking into account the thermal radiation, is analysed. The fluid is grey, and acts as a radiation emitting and absorbing (but non-scattering) medium. The influence of the non-dimensional parameters such as the Forchheimer coefficient (Fo), the permeability parameter (P), the Eckert number (Ec) and the radiation parameter (R) on the velocity, temperature, Nusselt number and on the time taken to reach the steady state is studied. The possibility of non-Darcy flow is also analysed. The numerical method employed, network simulation method, is based on an electro-thermal analogy and permits the direct visualization and evolution of the local and/or integrated transport variables (velocities, temperatures and fluxes) at any point or section of the medium. The numerical solutions of this work have been compared with the existing information in the literature with good agreement.

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Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Zueco

2007

Commun. Numer. Meth. Engng.

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“…As express by Rapits & Perdikis (2004), the quartic temperature function T * 4 can be expanded in Taylor series and neglecting higher order terms if the temperature differences within the flow are sufficiently small as:…”

Section: Problem Formulationmentioning

confidence: 99%

Dissipation, MHD and Radiation Effects on an Unsteady Convective Heat and Mass Transfer in a Darcy-Forcheimer Porous Medium

Dada¹,

Adefolaju²

2012

JMR

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This study investigates the effects of dissipation, magneto-hydrodynamics and thermal radiation on the natural convective heat and mass transfer of a viscous incompressible, gray absorbing-emitting fluid flowing past an impulsively started moving vertical plate in the Darcy-Forchheimer porous medium. The governing equations for the model are formulated in (x * , y * , t * ) co-ordinates system with appropriate boundary conditions and the radiative heat flux takes the Rosseland diffusion approximation. The equations are simplified, non-dimensionalized and then solved using the Crank-Nicolsons method. The effects of Magnetic field, dissipation function, radiation-conduction and Forchheimer parameters with thermal Grashof, species Grashof, Prandtl, Schimdt and Darcy numbers are reported on the dimensionless velocity, temperature and species function distributions. Also, the variations of local skin friction, Nusselt and Sherwood numbers are computed.

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“…Raptis [7] has considered radiation and free convection flow through a porous medium. Further, Raptis along with Perdikis [8] have worked on unsteady flow through a highly porous medium in the presence of radiation. The radiation effect on combined convection over a vertical flat plate embedded in a porous medium of variable porosity was presented by Pal and Mondal [6].…”

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confidence: 99%

Effects of Radiation and Porosity of the Medium on MHD Flow Past an Inclined Plate in the Presence of Hall Current

Rajput

Kumar

2017

CMST

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The present study deals with an analysis of the effects of radiation and porosity of the medium on unsteady natural convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively started inclined plate under the influence of transversely applied uniform magnetic field and Hall current. The medium of the flow is taken as porous. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained are discussed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof Number, Prandtl number, Hall current, radiation, permeability, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The objective of this study is to analyze radiation and the porosity of the medium in the MHD flow model. In the study we found that the velocity in the boundary layer increases with the values of radiation and porosity of the medium. It is also observed that radiation and porosity of the medium increases the skin-friction at the wall surface. The results of the study are found to be in agreement with the actual flow. The importance of the problem can be seen in cooling of electronic components of a nuclear reactor, bed thermal storage and heat sink in the turbine blades.

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Unsteady Flow Through a Highly Porous Medium in the Presence of Radiation

Cited by 33 publications

References 13 publications

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Dissipation, MHD and Radiation Effects on an Unsteady Convective Heat and Mass Transfer in a Darcy-Forcheimer Porous Medium

Effects of Radiation and Porosity of the Medium on MHD Flow Past an Inclined Plate in the Presence of Hall Current

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