MHD free-convective flow of micropolar and Newtonian fluids through porous medium in a vertical channel

Kumar, Navin; Gupta, Sandeep

doi:10.1007/s11012-011-9435-z

Cited by 23 publications

(7 citation statements)

References 37 publications

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“…In [7], [8], [9] mixed convection flow with symmetric and asymmetric heating is examined. To the best of our knowledge, few results are known concerning the influence of an external magnetic field on the convective flow of a micropolar fluid in a vertical channel ( [10], [11]), while in recent years the same situation in a double channel has been studied in [12]. However, in most of the previous papers, a restrictive condition on the material parameters has been imposed following the work of Ahmadi ([13]).…”

Section: Introductionmentioning

confidence: 99%

Magnetoconvection of a micropolar fluid in a vertical channel

Borrelli

Giantesio

Patria

2015

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Magnetoconvection of a micropolar fluid in a vertical channel

Borrelli

Giantesio

Patria

2015

International Journal of Heat and Mass Transfer

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“…Nikodijevic et al (2011) discussed the MHD Couette flow for two-fluid case, in presence of heat transfer. Kumar and Gupta (2012) discussed the flow of immiscible micropolar and Newtonian fluids. They have considered natural convective flow with MHD effects.…”

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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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“…Micropolar fluid equations differ from Navier-Stokes equations due to the non-symmetry of the stress tensor and couple stress. Since then, a variety of investigations have been conducted based on micropolar fluids of animal blood, polymeric fluids, oils, paints, and ferrofluids (Ishak, 2010;Kumar and Gupta, 2012;Mahmoud and Waheed, 2012;Postelnicu, 2012;Cortell, 2013;Sajid et al, 2018;Abbas et al, 2020a;Rana et al, 2020;Shezad et al, 2020). Hashem Zadeh et al (2020) have linked the change in Peclet number and bioconvection Lewis number directly to the coupled stress.…”

Section: Introductionmentioning

confidence: 99%

An analytical approach to entropy production in MHD mixed convection micropolar fluid flow over an inclined porous stretching sheet

et al. 2022

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This analytical analysis examines the MHD micropolar fluid flow and mixed convection features using entropy production analysis of an inclined porous stretching sheet. Flow field and heat transfer analysis are presented to consider thermal radiation, heat source/sink, Lorentz, and buoyancy forces. The PDEs system is transformed by appropriate similarity variables, turned into a system of high non-linearity coupling ODEs, and then solved with the help of an analytical approach. An analytical approach can provide exact explicit solutions for the flow field, heat transport, entropy production, the local skin friction coefficient, the local couple stress coefficient, and the local Nusselt number. It is shown that the magnetic field, mixed convection, and sheet inclination effects can be incorporated together into a single parameter, which is called the magneto-buoyancy-inclination parameter here. In other words, this parameter controls the boundary layer flow. In addition, an experimental procedure called Box-Behnken design (BBD) was employed to analyze the influence of material (K), radiation (Rd), and buoyancy (Λ) parameters on entropy production in MHD micropolar fluid flow over the sheet. In order to estimate accurately the optimum entropy generation containing K, Rd, and Λ, we used a quadratic regression model. Based on the results of this investigation, the value of the entropy generation number became larger by decreasing the magneto-buoyancy-inclination parameter. Further, the magnitude of the local couple stress coefficient is reduced as the heat source parameter increases.

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MHD free-convective flow of micropolar and Newtonian fluids through porous medium in a vertical channel

Cited by 23 publications

References 37 publications

Magnetoconvection of a micropolar fluid in a vertical channel

Magnetoconvection of a micropolar fluid in a vertical channel

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

An analytical approach to entropy production in MHD mixed convection micropolar fluid flow over an inclined porous stretching sheet

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