MHD Effects on Non-Darcy Forced Convection Boundary Layer Flow past a Permeable Wedge in a Porous Medium with Uniform Heat Flux

Rashad, A. M.; Bakier, A. Y.

doi:10.15388/na.2009.14.2.14523

Cited by 15 publications

(3 citation statements)

References 24 publications

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“…Interesting analytical results on the MHD flows can be found in [24][25][26][27][28][29][30]. For recent numerical studies of the MHD flow through a porous medium we refer the reader to [31][32][33][34]. To our knowledge, [30] contains one of the rare attempts to build analytically the solution of the MHD flow within a domain filled with a porous medium.…”

Section: Introductionmentioning

confidence: 99%

A note on the MHD flow in a porous channel

Marušić–Paloka

Pažanin

2022

Theor appl mech (Belgr)

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In this paper we study the flow of a viscous incompressible conducting fluid through a corrugated channel filled with a porous medium. The fluid flow in the channel is under the action of the transverse magnetic field and driven by the pressure drop between the channel?s edges. Using boundary-layer analysis, we derive a higher-order asymptotic model taking into account the inertia and roughness-induced effects on the filtration velocity.

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Section: Introductionmentioning

confidence: 99%

A note on the MHD flow in a porous channel

Marušić–Paloka

Pažanin

2022

Theor appl mech (Belgr)

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“…Marafie et al 28 discussed how the height of the porous medium heat sink and the Richardson number influences the flow characteristics and the Nusselt number through the Forchheimer-Brinkman-extended Darcy model on the mixed convection heat transfer in a metallic porous block with a confined slot jet. Many other studies had been performed on non-Darcy convection heat transfer in porous media, like, those in Rashad et al [29][30][31][32] Gorla and Chamkha 33 presented the free convection boundary layer flow over a nonisothermal vertical plate embedded in a porous medium saturated with a nonfluid. The numerical results showed the dependency of the friction factor, surface heat transfer rate, and mass transfer rate on parametric variations of the buoyancy ratio parameter.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of superheated vapor effect on liquid film condensation in a saturated porous medium using Forchheimer's model

Yaseen

Alrbai

2022

Heat Trans

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In this work, the superheated vapor effect on liquid film condensation in a saturated porous medium using Forchheimer's model has been investigated analytically and numerically. The applied governing equations, the continuity equation, the Forchheimer equation, and the energy equation were transformed using the similarity transformation technique into a dimensionless form using a set of suitable variables and then solved numerically using the Runge–Kutta method. Results obtained were graphically drawn to illustrate the effects of superheated vapor and subcooled liquid on the liquid film condensation, temperature, and heat transfer rate through the porous medium. It was found that the film thickness is a function of dimensionless parameters related to the degree of subcooling and Grashof number without a superheating effect. Consequently, the Nusselt number depends on the square root of the Rayleigh number, the Grashof number, and the dimensionless film thickness. It was also found that if superheating exists, the liquid film thickness then depends on four dimensionless parameters related to the Grashof number, the degree of subcooling of the liquid, the extent of the superheating of the surrounding vapor, and a property ratio of the liquid and the vapor phase.

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“…The steady laminar forced flow of an incompressible viscous electrically conducting and heat-generating fluid past an impermeable wedge at uniform heat flux embedded in a non-Darcy high-porosity medium has been studied numerically by Rashad et al. 37 Rashad et al. 38,39 studied the MHD free convective heat and mass transfer of a chemically-reacting fluid adjacent to a vertical stretching surface embedded in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation and heat transport analysis of Casson fluid flow with viscous and Joule heating in an inclined porous microchannel

Gireesha

Srinivasa

Shashikumar

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part E:

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The combined effects of the magnetic field, suction/injection, and convective boundary condition on heat transfer and entropy generation in an electrically conducting Casson fluid flow through an inclined porous microchannel are scrutinized. The temperature-dependent heat source is also accounted. Numerical simulation for the modelled problem is presented via Runge–Kutta–Felhberg-based shooting technique. Special attention is given to analyze the impact of involved parameters on the profiles of velocity [Formula: see text], temperature [Formula: see text], entropy generation [Formula: see text], and Bejan number [Formula: see text]. It is established that entropy generation rate decreases at the walls with an increase in Hartmann number [Formula: see text], while it increases at the center region of the microchannel.

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MHD Effects on Non-Darcy Forced Convection Boundary Layer Flow past a Permeable Wedge in a Porous Medium with Uniform Heat Flux

Cited by 15 publications

References 24 publications

A note on the MHD flow in a porous channel

A note on the MHD flow in a porous channel

Theoretical study of superheated vapor effect on liquid film condensation in a saturated porous medium using Forchheimer's model

Entropy generation and heat transport analysis of Casson fluid flow with viscous and Joule heating in an inclined porous microchannel

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