Pulsating Flow of an Incompressible Micropolar Fluid Between Permeable Beds With an Imposed Uniform Magnetic Field

Iyengar, T. K. V.; Bitla, Punnamchandar

doi:10.1615/jpormedia.v16.i4.30

Cited by 3 publications

(2 citation statements)

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“…In all directions around the interface, the velocity components are symmetrical. Similar to other researchers' fndings, when the Reynolds number rises, velocity also rises [47].…”

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confidence: 85%

“…In fuid dynamics, the Lorentz force makes the fuid motion slowed down because it operates in the opposite direction of the fow. As a result, increasing the Hartmann number also increases the infuence of resistive force [47], which further reduces the fuid velocity. Tis efect is caused by the fact that the magnetic feld applied opposes the velocity.…”

Section: Efect Of Hartmann Number (Magnetic Parameter) and Couple Str...mentioning

confidence: 99%

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Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Bitla

Sitotaw

2023

Mathematical Problems in Engineering

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In this study, we investigated the effects of slip boundary and magnetic field on the flow of two immiscible couple stress fluids in an inclined porous media channel. The Stokes model was used to define the two couple stress fluids. The fluids in both the regions are assumed to be incompressible and immiscible and the transport properties in the two regions are assumed to be constant. The governing coupled linear ordinary differential equations are made dimensionless by using appropriate fundamental quantities. The expressions for the velocity components in both the regions are obtained in closed form using the undetermined coefficient method; by applying slip boundary condition at the boundary of the channel and at fluid-fluid interface, the continuity of velocities, vorticities, shear stresses, and couple stresses are applied. The effects of the nondimensional parameters including the couple stress parameters, slip parameter, Hartmann number, Darcy number, and the ratio of basic fluid properties on the velocity components are presented graphically; the flow rate and shear stress are presented in table and discussed briefly. It is reported that the presence of couple stresses and magnetic field have a declining impact while slip boundary has an enhancement impact on the fluid velocity and the volumetric flow rate. In the absence of couple stress, the results for the liming case as s ⟶ ∞ η ⟶ 0 for Newtonian flow are achieved and further limiting cases are established and briefly addressed.

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“…In all directions around the interface, the velocity components are symmetrical. Similar to other researchers' fndings, when the Reynolds number rises, velocity also rises [47].…”

supporting

confidence: 85%

Section: Efect Of Hartmann Number (Magnetic Parameter) and Couple Str...mentioning

confidence: 99%

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Bitla

Sitotaw

2023

Mathematical Problems in Engineering

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Creeping Flow of Couple Stress Fluid Over a Spherical Field on a Saturated Biporous Medium

Sakthivel,

Shukla,

Ramasamy

2024

J Por Media

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This problem emphasizes the dynamic interaction between a biporous medium and a couple stress fluid of laminar flow. The flow around a permeable field engulfed in a couple stress fluid is examined. When examining the motion of an oil droplet in a porous collector that is surrounded by an aqueous medium (oil-in-water emulsion) and is subject to an external pressure drop, this formulation of the problem is typical. A similar issue arises when lymph enters the tissues of humans or animals: the inside permeable spherical field saturated with viscous fluid and outside region saturated with couple stress fluid. The Brinkman equations are utilized to characterize the couple stress fluid flow in a saturated biporous medium. The couple stress tensor and velocity fields are expressed using Gegenbauer polynomials and Macdonald functions. For the axially symmetric motion, both pressure distribution and the stream function solution are explicitly solved. The method of variable separation is used to investigate an analytical resoluteness for the flow field. The drag force on a saturated biporous medium and the drag coefficient DN are calculated, and the impacts of the permeability κ, the ratio of viscosity (γ2 = μ1 /μ2), the couple stress viscosity ratio (τ = η'/η), and the parameter of couple stress (λ = √μ/η). The appropriate dependencies are graphically delineated and reviewed, including the permeability κ, couple stress parameter λ, viscosity ratio γ2, and couple stress viscosities (η, η'). According to the findings, increasing permeability gradually raises the drag coefficient, which is used to describe a spherical fieldâs surface with a high level resistance of flow. Limits statements are used to illustrate specific cases that are well-known. The current study is significant primarily in the course through a layer formed by penetrable particles and has very important and compelling applications in both nature and innovation, with a variety of potential outcomes.

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Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds

Jangili¹,

Josyula

2016

JAFM

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The paper deals with the flow of two immiscible couple stress fluids between two homogeneous permeable beds. The flow is considered in two zones: zone I and II contain free flow of two immiscible couple stress fluids between two permeable porous beds at the bottom and top. The flow in the free channel bounded by two permeable beds is assumed to be governed by Stokes's couple stress fluid flow equations and that in the permeable beds by Darcy's law. The continuity of velocity, vorticity, shear stress and couple stress are imposed at the fluid-fluid interface and Beavers-Joseph (BJ) slip boundary conditions are employed at the fluid-porous interface. The equations are solved analytically and the expressions for velocity, skin friction and volumetric flow rate are obtained. The effects of the physical governing parameters on velocity are investigated.

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Pulsating Flow of an Incompressible Micropolar Fluid Between Permeable Beds With an Imposed Uniform Magnetic Field

Cited by 3 publications

References 0 publications

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Creeping Flow of Couple Stress Fluid Over a Spherical Field on a Saturated Biporous Medium

Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds

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