MHD natural convection flow in a vertical parallel plate microchannel

Entropy generation of fully developed steady, viscous, incompressible couple stress fluid in a vertical micro-porous-channel in the presence of horizontal magnetic field is analysed in this work. The governing equations for the flow are derived, and nondimensionalised and the resulting nonlinear ordinary differential equations are solved via a rapidly convergent technique developed by Zhou. The solution of the velocity and temperature profiles are utilised to obtain the flow irreversibility and Bejan number. The effects of couple stresses, fluid wall interaction parameter (FSIP), effective temperature ratio (ETR), rarefaction and magnetic parameter on the velocity profile, temperature profile, entropy generation and Bejan number are presented and discussed graphically.

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“…Using the recursive relations of Eqs. (12) and (13), we can obtain the differential coefficients, F 4…”

Section: Differential Transformation Methods (Dtm)mentioning

confidence: 99%

“…The result indicated that increase in Knudsen number reduced local Nusselt number (Nu). Several investigations regarding microchannel flows have also been carried out by Jha and collaborators [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Convection Flow of MHD Couple Stress Fluid in Vertical Microchannel with Entropy Generation

Opanuga¹,

Agboola²,

Okagbue³

et al. 2020

Pattern Formation and Stability in Magnetic Colloids

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“…A lot of research work on hydromagnetic flows of a viscous incompressible and electrically conducting fluid in different microgeometry has been recorded in the literature. Jha et al investigated the hydromagnetic free convection flow of a conducting fluid considering the effect of temperature jump and velocity slip on the microchannel surfaces. They observed that the rarefaction parameter aids flow formation for both symmetric and asymmetric heating situations, whereas the magnetic field decreases the flow formation.…”

Section: Introductionmentioning

confidence: 99%

Hall current and ion‐slip effects on free convection flow in a vertical microchannel with an induced magnetic field

Jha

Malgwi

2019

Heat Trans. Asian Res.

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The steady fully developed hydromagnetic flow of a viscous incompressible and electrically conducting fluid in a vertical microchannel has been studied taking into account the influence of Hall current, ion-slip effects and an induced magnetic field. Exact solutions for the governing equations responsible for the flow formation are obtained by the method of the undetermined coefficient and presented graphically. It is found that in the presence of the ion-slip effect, both primary and secondary components of fluid velocity increase with the Hall parameter for symmetric as well as asymmetric heating of the microchannel surfaces. Also, the magnetic field supports flow along the secondary flow direction while the reverse impact is observed along the primary flow direction.

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“…The effect of the Hartmann number was reported to decrease the volume flow rate. The combined influence of an externally applied transverse magnetic field and suction/injection on a steady natural convection flow of conducting fluid in a vertical microchannel was carried out by Jha et al [12]. In another work, Jha et al [13] examined the effect of wall surface curvature on the transient MHD free convective flow in a vertical micro-concentric-annuli.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, the present authors and their collaborators have carried out a number of studies on MHD natural convection covering several aspects. For instance, Jha et al [11] analytically studied the fully developed steady natural convection flow of a conducting fluid in a vertical parallel plate microchannel in the presence of a transverse magnetic field. The effect of the Hartmann number was reported to decrease the volume flow rate.…”

Section: Introductionmentioning

confidence: 99%

Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Jha

Aina

2017

International Journal of Applied Mechanics and Engineering

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The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

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MHD natural convection flow in a vertical parallel plate microchannel

Cited by 69 publications

References 19 publications

Convection Flow of MHD Couple Stress Fluid in Vertical Microchannel with Entropy Generation

Convection Flow of MHD Couple Stress Fluid in Vertical Microchannel with Entropy Generation

Hall current and ion‐slip effects on free convection flow in a vertical microchannel with an induced magnetic field

Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

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