Numerical study of magnetic effect on the velocity distribution field in a macro/micro-scale of a micropolar and viscous fluid in vertical channel

Tetbirt, A.; Bouaziz, Mohamed Najib; Abbès, Miloud Tahar

doi:10.1016/j.molliq.2015.12.088

Cited by 25 publications

(14 citation statements)

References 13 publications

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“…Prathap Kumar et al (2010) obtained the velocity and microrotation for natural-convective flow of micropolar and Newtonian fluids. Tetbirt et al(2016) considered the micropolar and viscous fluids in vertical channel and numerically studied the velocity distribution, under magnetic effects. The fluid flow and heat transfer is widely used in functioning of thermoelectric cooler, thermal insulators, thermocouple etc.…”

mentioning

confidence: 99%

A Magnetohydrodynamic Time Dependent Model of Immiscible Newtonian and Micropolar Fluids through a Porous Channel: a Numerical Approach

Devakar

Raje

2019

JAFM

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The objective of the present article is to study the magnetohydrodynamic(MHD) unsteady flow and heat transfer of two immiscible micropolar and Newtonian fluids through horizontal channel occupied with porous medium. Initially, fluids in both regions as well as both plates are at rest. At an instant of time, the flow in both regions is generated by a constant pressure gradient. The governing non-linear and coupled partial differential equations of Eringen's micropolar fluid and Newtonian fluid are solved subject to suitable initial, boundary and interface conditions. The numerical results for velocity, microrotation and temperature are obtained using Crank-Nicolson finite difference approach. The results obtained for velocities, microrotation and temperatures are presented through figures. The analysis regarding volume flow rate, skin-friction co-efficient and Nusselt number is also done and is presented through tables. It is explored that, velocity, microrotation and temperature are increasing with time and accomplishing steady state at higher time level. Velocity is decreasing with micropolarity parameter and Hartmann number, and increasing with Darcy number. Temperature enhances with increasing Brinkmann number, and declines with Prandtl number and ratio of thermal conductivities.

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mentioning

confidence: 99%

A Magnetohydrodynamic Time Dependent Model of Immiscible Newtonian and Micropolar Fluids through a Porous Channel: a Numerical Approach

Devakar

Raje

2019

JAFM

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“…In this present paper, Runge-Kutta-Fehlberg fourth fifthorder method has been employed to solve the system of nonlinear ordinary differential equations (12) with the boundary conditions given by (13) for different values of governing parameters. The RKF45 method has a procedure to determine if the appropriate step size ℎ is being used.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Mosayebidorcheh [10] analyzed the flow of micropolar fluid over a porous channel with changing walls. Recently, many authors [11][12][13][14] have studied the micropolar fluid flow for different fluid properties over different geometries. However, the effects of chemical reaction on micropolar fluid flow over a permeable channel in the presence of radiation and heat generation have not been considered in the above investigations.…”

Section: Introductionmentioning

confidence: 99%

Influence of Chemical Reaction on Heat and Mass Transfer Flow of a Micropolar Fluid over a Permeable Channel with Radiation and Heat Generation

Singh

Kumar

2016

Journal of Thermodynamics

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The effects of chemical reaction on heat and mass transfer flow of a micropolar fluid in a permeable channel with heat generation and thermal radiation is studied. The Rosseland approximations are used to describe the radiative heat flux in the energy equation. The model contains nonlinear coupled partial differential equations which have been transformed into ordinary differential equation by using the similarity variables. The relevant nonlinear equations have been solved by Runge-Kutta-Fehlberg fourth fifth-order method with shooting technique. The physical significance of interesting parameters on the flow and heat transfer characteristics as well as the local skin friction coefficient, wall couple stress, and the heat transfer rate are thoroughly examined.

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“…2 surface and body couple are permitted (Agarwal et al [3], Kelson and Farrell [4], Bhargava et al [5], Ishak et al [6,7], Lok et al [8], Tetbirt et al [9], Fakour et al [10] etc.). Examples of industrially relevant flows that can be studied using micropolar theory include the flow of low concentration suspensions, liquid crystals, animal blood, colloidal fluids, polymeric fluids, lubrication, turbulent shear flow, etc.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Natural convection of micropolar fluid in a wavy differentially heated cavity

Gibanov

Sheremet

Pop

2016

Journal of Molecular Liquids

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Numerical study of magnetic effect on the velocity distribution field in a macro/micro-scale of a micropolar and viscous fluid in vertical channel

Cited by 25 publications

References 13 publications

A Magnetohydrodynamic Time Dependent Model of Immiscible Newtonian and Micropolar Fluids through a Porous Channel: a Numerical Approach

A Magnetohydrodynamic Time Dependent Model of Immiscible Newtonian and Micropolar Fluids through a Porous Channel: a Numerical Approach

Influence of Chemical Reaction on Heat and Mass Transfer Flow of a Micropolar Fluid over a Permeable Channel with Radiation and Heat Generation

Natural convection of micropolar fluid in a wavy differentially heated cavity

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