Slow Motion Past a Spheroid Implanted in a Brinkman Medium : Slip Condition

Madasu, Krishna Prasad; Kaur, Manpreet; Bucha, Tina

doi:10.1007/s40819-021-01104-4

Cited by 4 publications

(3 citation statements)

References 38 publications

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“…It matches the result given by Madasu et al [37] and El-Sapa et al [39]. Case 2: In the absence of permeability (𝛼 = 0 𝑖.𝑒., 𝜉 1 = 𝜆, and 𝜉 2 = 0) in Eq.…”

Section: Special Casessupporting

confidence: 89%

“…The latter is known as the slip boundary condition introduced by Navier in 1823. Recently, some researchers have studied the slip effect on the flow between porous channels [36,37].…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…El-Sapa and Alsudais [36] studied the slip effect on two rigid spheres implanted in porous media in the presence of magnetic field. Madasu et al [37] investigated the slow motion past a spheroid implanted in a Brinkman medium with slip condition.…”

Section: Introductionmentioning

confidence: 99%

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Archive of Mechanical Engineering

Madasu,

Sarkar

2021

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This paper concerns the analytical investigation of the axisymmetric and steady flow of incompressible couple stress fluid through a rigid sphere embedded in a porous medium. In the porous region, the flow field is governed by Brinkman's equation. Here we consider uniform flow at a distance from the sphere. The boundary conditions applied on the surface of the sphere are the slip condition and zero couple stress. Analytical solution of the problem in the terms of stream function is presented by modified Bessel functions. The drag experienced by an incompressible couple stress fluid on the sphere within the porous medium is calculated. The effects of the slip parameter, the couple stress parameter, and permeability on the drag are represented graphically. Special cases of viscous flow through a sphere are obtained and the results are compared with earlier published results.

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“…It matches the result given by Madasu et al [37] and El-Sapa et al [39]. Case 2: In the absence of permeability (𝛼 = 0 𝑖.𝑒., 𝜉 1 = 𝜆, and 𝜉 2 = 0) in Eq.…”

Section: Special Casessupporting

confidence: 89%

“…The latter is known as the slip boundary condition introduced by Navier in 1823. Recently, some researchers have studied the slip effect on the flow between porous channels [36,37].…”

Section: Boundary Conditionsmentioning

confidence: 99%

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Archive of Mechanical Engineering

Madasu,

Sarkar

2021

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Study of toroidal magnetic field for the flow past a rotating rigid sphere embedded in the less permeable medium

Sharma,

Srivastava

2024

Int J Geomath

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Analytical solution of a couple stress fluid saturated in a porous medium through a Reiner–Rivlin liquid sphere

2023

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The objective of the present investigation is to provide a theoretical analysis of the flow of an incompressible couple stress fluid through a Reiner–Rivlin liquid which is covered by a permeable medium. On the surface of the sphere, the boundary conditions, such as nil couple stress condition, impenetrability condition, continuity of velocities, and continuity of stresses, are applied. This research aims to analyze the flow behavior which has been evaluated under the influence of dimensionless parameter, couple stress parameter, and parameter impacting viscosity. The essential components that influenced the couple stress parameter in relation to couple stress viscosity are physically interpreted and presented. The analysis concludes with a graphical representation of flow pattern and drag under the effects of the couple stress parameter, couple stress viscosity ratio, permeability parameter, etc. The findings demonstrate that the Reiner–Rivlin liquid parameter (S) has an increasing function in the non-dimensional drag case but a decreasing function in the pressure case. Moreover, the stress viscosity of the couple is a significant component that impacts the drag and the pressure. Also, the streamline pattern shows that the couple stress fluid was completely penetrated by the Reiner–Rivlin liquid.

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Slow Motion Past a Spheroid Implanted in a Brinkman Medium : Slip Condition

Cited by 4 publications

References 38 publications

Archive of Mechanical Engineering

Archive of Mechanical Engineering

Study of toroidal magnetic field for the flow past a rotating rigid sphere embedded in the less permeable medium

Analytical solution of a couple stress fluid saturated in a porous medium through a Reiner–Rivlin liquid sphere

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