Effect of Constant Magnetic Field on Convective Heat Transfer through Anisotropic River Beds

Yovogan, Julien; Degan, Gérard; Fagbemi, Latif

doi:10.4236/jcpt.2018.82004

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…The equations governing the conservation of mass, momentum, energy and the Boussinesq approximation (see, Alloui et al [14] Yovogan and Degan [15] Yovogan et al [16]) can be written in each Zone as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Stability of Geothermal Convection in Anisotropic River Beds

Degan¹,

Yovogan²,

Fagbémi³

et al. 2019

ENG

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The onset of thermal convection, due to heating from below in a system consisting of a fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity, is investigated analytically. The porous medium is both anisotropic in permeability whose principal axes are oriented in a direction that is oblique to the gravity vector and in thermal conductivity with principal directions coincident with the coordinate axes. The Beavers-Joseph condition is applied at the interface between the two layers. Based on parallel flow approximation theory, a linear stability analysis is conducted to study the geothermal river beds system and documented the effects of the physical parameters describing the problem. The critical Rayleigh numbers for both the fluid and porous layers corresponding, to the onset of convection arising from sudden heating and cooling at the boundaries are also predicted. The results obtained are in agreement with those found in the past for particular isotropic and anisotropic cases and for limiting cases concerning pure porous media and for pure fluid layer. It has demonstrated that the effects of anisotropic parameters are highly significant.

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Section: Mathematical Formulationmentioning

confidence: 99%

Stability of Geothermal Convection in Anisotropic River Beds

Degan¹,

Yovogan²,

Fagbémi³

et al. 2019

ENG

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“…al. [24] studied the effect of magnetic field on convection heat transfer through packed porous beds which consists of a horizontal fluid layer (riverbed) and a porous zone with anisotropic permeability and underlined by a surface heated by a constant temperature. They analytically investigated how Hartmann number and hydrodynamic anisotropy controls the convective process.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic forced convection and heat transfer of a Casson fluid flow in an anisotropic porous channel with Isoflux boundaries

Chigozie Israel-Cookey,

Onengiyeofori Anthony Davies,

Aminayanasa Paddy Ngeri

2023

World J. Adv. Res. Rev.

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Theoretical analysis of magnetohydrodynamic fully developed forced convective flow and heat transfer characteristics of a non-Newtonian electrically conducting Casson fluid through a porous channel filled with anisotropic porous material bounded by two impermeable horizontal walls subject to constant heat flux applied to the outer walls is investigated. The extended Darcy-Brinkmann model govern the flow inside the porous channel and accounts for the presence of the inertia term, which allows for the no-slip boundary conditions at the walls. The principal axis of anisotropic permeability is oriented from to radians. The equations governing the system are solved using the inbuilt “DSolve” in Mathematica 11.1 for the velocity and temperature profiles as well as the Nusselt number (Nu), which characterizes the rate of heat transfer in the system. The effects of various parameters on the velocity, temperature and heat transfer profiles are displayed through graphs and discussed quantitatively. From the results we observed that the velocity profile reduced as the Casson parameter (ß), anisotropic ratio (Kr), orientation angle (), and Hartmann number (Ha) increased, whereas the velocity profile increased when the Darcy number (Da) and apparent viscosity () increased. Similarly, these variables also had similar effect on the temperature profile of the fluid. On the other hand, the heat transfer profile, as measured by Nusselt number, increased when the Casson parameter (ß), anisotropic ratio (Kr) and Hartmann number (Ha) increased, while increasing the orientation angle () and apparent viscosity ( ) decreased the Heat Transfer Profile. Upon further investigation, the heat transfer profile was shown to be maximum along the path of least permeability in the anisotropic porous media under investigation.

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Thermal enhancement of couple stress fluid flow through anisotropic porous media

Bhargavi,

Aich,

Gupta

2024

Physics of Fluids

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This study examines forced convective heat transfer via an anisotropic porous channel in a couple stress flow. The flow field is assumed to be fully developed and governed by the Darcy Brinkman Forchheimer equation. The thermal field is assumed to be developing. The channel walls are subjected to constant heat flux. Since the momentum equation is non-linear and the thermal energy equation is linear, coupled equations are solved numerically using the finite difference method. The variation in the bulk mean temperature is linear with the axial distance for all values of the couple stress parameter and Darcy number. In the absence of axial conduction and heat sources or sinks in the flow field, it is easy to see that the energy gained by the fluid up to an axial distance is twice the axial distance. The parameters, anisotropic permeability ratio, and anisotropic angle enhance the heat transfer. The couple stress parameter lessens the enhancement in heat transfer. Anisotropy is critical in heat transmission for Darcy number, DaH≤0.8. The heat transfer rate decreases by more than 40% due to couple stress fluid and anisotropic effects in the channel, as opposed to the Newtonian isotropic situation. This investigation's findings have been compared with previous experimental and numerical research.

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Effect of Constant Magnetic Field on Convective Heat Transfer through Anisotropic River Beds

Cited by 4 publications

References 8 publications

Stability of Geothermal Convection in Anisotropic River Beds

Stability of Geothermal Convection in Anisotropic River Beds

Magnetohydrodynamic forced convection and heat transfer of a Casson fluid flow in an anisotropic porous channel with Isoflux boundaries

Thermal enhancement of couple stress fluid flow through anisotropic porous media

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