Influence of MHD on micropolar fluid flow past a sphere implanted in porous media

Madasu, Krishna Prasad; Bucha, Tina

doi:10.1007/s12648-020-01759-7

Cited by 8 publications

(2 citation statements)

References 56 publications

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“…Devakar et al [13] obtained analytical solutions of couple stress fluid for different types of unidirectional fully developed flow and results are verified for Newtonian fluid. Under the influence of uniform magnetic field, drag force for micropolar fluid experienced on the sphere was determined by Madasu and Bucha [14]. Under the influence of magnetic field, flow of a couple stress fluid through a porous channel was studied by Hassan [15].…”

Section: Introductionmentioning

confidence: 99%

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Deo

Maurya

2022

Preprint

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This work concerns the Stokesian flow of an axisymmetric, incompressible couple stress fluid through a porous medium which encloses a solid sphere, under a uniform magnetic field. The problem is solved analytically by using separation of variables technique and expressions for stream function, velocity components, vorticity component, fluid pressure, stress tensors and couple stresses are obtained in terms of modified Bessel functions. A new result for drag force experienced by a solid sphere enclosed in porous medium under the applied uniform magnetic field is evaluated. Some special cases for flow past the impermeable sphere are obtained and validated by the existing results. Also, a well-known result of drag force for the Stokes flow past an impermeable sphere is reported. The profiles of tangential velocity, drag force and patterns of streamlines are plotted for different values of flow parameters.

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Section: Introductionmentioning

confidence: 99%

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Deo

Maurya

2022

Preprint

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“…The case of micropolar flow past circular cylinder has been discussed in detail in a number of studies [11][12][13]. While other studies have highlighted the dynamics of the flow when the geometry involved is sphere [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Flow of Viscoelastic Fluid with Microrotation at a Boundary Layer Flow of a Horizontal Circular Cylinder

Aziz

Kasim

Salleh

et al. 2022

CFDL

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In this study, the dynamics of the non-Newtonian viscoelastic fluid with microrotation at a boundary layer of a horizontal circular cylinder is investigated. For this case, Lorentz force is induced by external magnetic field positioned at right angle of the fluid flow, hence the magnetohydrodynamic effect is embedded in the momentum equation of the proposed model in addition to other governing parameters. The constitutive equations are converted to dimensionless form along with the associated boundary conditions before the resulting partial differential equations are solved using finite difference technique in Fortran programming. Results are validated before the velocity and microrotation profiles are examined and the effects of material, viscoelastic and magnetohydrodynamic parameter on the flow is discussed.

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Drag exerted by a micropolar fluid on a dense swarm of permeable spherical particles

Mishra

Gupta

2022

Arch Appl Mech

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Influence of MHD on micropolar fluid flow past a sphere implanted in porous media

Cited by 8 publications

References 56 publications

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Impact of Mhd on Couple Stress Fluid Flow Enclosing a Solid Sphere in a Porous Medium

Flow of Viscoelastic Fluid with Microrotation at a Boundary Layer Flow of a Horizontal Circular Cylinder

Drag exerted by a micropolar fluid on a dense swarm of permeable spherical particles

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