Heal Transfer in a Three‐Dimensional Flow through a Porous Medium with Periodic Permeability

Singh, K. D.; Chand, Khem; Verma, Geeta

doi:10.1002/zamm.19950751112

Cited by 10 publications

(9 citation statements)

References 7 publications

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“…Nevertheless, there may occur situations where the flow fields may be essentially threedimensional, for instance, when the permeability distribution varies transversely to the potential flow. Many workers [7,8] have studied the effects of such a transverse permeability distribution on the flow of an incompressible viscous fluid through a porous medium. Further, Singh and Sharma [9] analyzed a three-dimensional free convective flow through a porous medium with periodic permeability and heat transfer effect, Jain et al [10] presented the influence of periodic permeability and temperature of a free convective three-dimensional flow of a viscous fluid through porous medium in the presence of slip.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional free convective flow of a second-grade fluid through a porous medium with periodic permeability and heat transfer

Rana

Latif

2019

Bound Value Probl

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In this study, we model and theoretically analyze a free convective three-dimensional flow of an incompressible second-grade fluid through a highly porous medium bounded by an infinite vertical porous plate subjected to a constant suction. We assume the permeability of the medium to be periodic and the free stream velocity to be uniform. The assumption of either constant or time-dependent permeability of a porous medium leads to two-dimensional flows; however, the flow becomes three-dimensional due to variable permeability of the porous medium. We obtain analytic solutions for velocity field, pressure, skin friction components, temperature distribution, and discuss and graphically visualize effects of physical parameters emerging in the mathematical model of the physical phenomenon on these physical quantities. We note that the main flow velocity component decreases due to enhancement in non-Newtonian parameter; however, the pressure rises due to thickening of the fluid. MSC: 30E25; 47A52; 76Sxx; 80A20

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Section: Introductionmentioning

confidence: 99%

Three-dimensional free convective flow of a second-grade fluid through a porous medium with periodic permeability and heat transfer

Rana

Latif

2019

Bound Value Probl

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“…Singh and Sharma (2001) studied the three-dimensional Couette flow through a porous medium. Singh and Sharma (2002) also studied the effect of periodic permeability on three-dimensional convective flow and heat transfer through a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional oscillating flow between two parallel plates through a porous medium

Guria¹,

Ghara²,

Jana³

2013

International Journal of Applied Mechanics and Engineering

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An unsteady Couette flow between two parallel plates when upper plates oscillates in its own plane and is subjected to a constant suction and the lower plate to a injection velocity distribution through the porous medium has been analyzed. The approximate solution has been obtained using perturbation technique. It is seen that the primary velocity increases whereas the secondary velocity decreases with an increase in permeability parameter. It is also found that the primary velocity increases with an increase in the Reynolds number as well as the suction parameter. The magnitude of the secondary velocity increases near the stationary plate but decreases near the oscillating plate with an increase in the Reynolds number. Whereas, it increases with an increase in the suction parameter.

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“…It is noted that the velocity and temperature increase for the increasing values of Dufour number. Figures (7) and (8) show that Skin-friction  versus Reynolds number Re and Nusselt number Nu versus Re respectively. The assessment of the curves in the figures shows that an increase in the Dufour number leads to increase in the Skin-friction and Nusselt number.…”

Section: Resultsmentioning

confidence: 99%

“…However, there situations may be encountered where the flow field is aessentially three dimensional, for example, when variation of the permeability distribution is transverse to the potential flow. The effect of such a transverse permeability distribution of the porous medium bounded by horizontal flat plate has been studied by Sing and Verma [7] and Singh et al [8]. The effect of magnetic field on three dimensional flow of a viscous, incompressible and electrically conducting fluid past an infinite porous plate with transverse sinusoidal suction was discussed by Singh [9].…”

Section: Introductionmentioning

confidence: 99%

Dufour Effect on Three-Dimensional Heat and Mass Transfer Flow through a Porous Medium

Srihari¹

2017

IJMTT

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The present article deals with the effect of Dufour number variation on free-convection flow of a viscous incompressible fluid through a porous medium bounded by an infinite vertical porous plate with periodic permeability. Obtaining closed form solution for this type of 3-D flow problems is practically not feasible due to its high degree of nonlinearity. So the problem is solved using finite difference and perturbation methods, for which numerical simulation is carried out by coding in C-Program. Graphical results for velocity, temperature, concentration, Skin-friction and Nusselt number are presented and discussed at various parametric conditions. It is observed that velocity, temperature and Nusselt number increase in the presence of Dufour. Dufour effect greatly influence the temperature profile in the thermal boundary layer.

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Heal Transfer in a Three‐Dimensional Flow through a Porous Medium with Periodic Permeability

Cited by 10 publications

References 7 publications

Three-dimensional free convective flow of a second-grade fluid through a porous medium with periodic permeability and heat transfer

Three-dimensional free convective flow of a second-grade fluid through a porous medium with periodic permeability and heat transfer

Three-dimensional oscillating flow between two parallel plates through a porous medium

Dufour Effect on Three-Dimensional Heat and Mass Transfer Flow through a Porous Medium

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