Drag Experienced by a Composite Sphere in an Axisymmetric Creeping Flow
                        of Micropolar Fluid

Mishra, Vandana; Gupta, Bhagwati P.

doi:10.29252/jafm.11.04.27870

Cited by 5 publications

(3 citation statements)

References 23 publications

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“…He concluded from the article that the drag on an eccentric solid sphere is greater than that on a semipermeable sphere. Mishra and Gupta [6] researched the problem of micropolar fluid passing through an impermeable sphere surrounded by a permeable sphere. Selvi and Shukla [7] investigated the resistance force on a fluid sphere enclosed by a permeable medium.…”

Section: S P E C I a L I S S U E Pa P E Rmentioning

confidence: 99%

Drag on a semipermeable spherical particle covered by a couple stress fluid

Selvi

2023

Math Methods in App Sciences

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This paper focuses on the hydrodynamic interaction between a semipermeable spherical particle and a laminar flow of couple stress fluid. The framework of the flow is divided into two regions, in which the non‐Newtonian characteristics of the couple stress fluid are governed by classical Stokes equations and the permeable region is governed by Darcy's law. The asymptotic series expansion involves the stream functions in terms of modified Bessel's function and Gagenbauer's polynomials for the inner and outer regions. The graphical analysis demonstrating the superior outcomes of numerous parameters such as the couple stress parameter, the permeability parameter, and the couple stress viscosity ratio on the drag coefficient is conducted, and the outcomes are discussed comprehensively. The present study discovered that the drag of a semipermeable sphere is greater than that of a couple stress fluid sphere. A continuous reduction in the pressure distribution is observed with the rising value of the couple stress parameter. However, an increasing value of the couple stress parameter in the semipermeable medium contributes to increasing the tangential stress with respect to the distance from the surface. The current study's findings could be useful in analyzing significant clinical and industrial applications such as the filtration process for wastewater treatment, the design of the digestive system, fluid–solid disperse systems, and the petroleum industry. However, experimental verification is required for the proposed work.

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Section: S P E C I a L I S S U E Pa P E Rmentioning

confidence: 99%

Drag on a semipermeable spherical particle covered by a couple stress fluid

Selvi

2023

Math Methods in App Sciences

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“…Pankaj Shukla [7] discussed how the laminar flow of a non-Newtonian liquid beyond a sphere enclosed with a slim liquid sheet and obtained the drag force using a non-zero spin boundary condition for the micros-rotation vector. Mishra and Gupta [8] used the no-slip condition to investigate and analyse the continuous axisymmetric uniform flow of an incompressible non-Newtonian fluid over a permeable sphere holding a solid sphere. The above-mentioned literature is related to works on micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

A Study on Oscillatory Micropolar Flow Beyond a Contaminated Micropolar Fluid Sphere

Phani Kumar Meduri,

Vijaya Lakshmi Kunche

2023

CFDL

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In this paper, the hypothesis of the axisymmetric rectilinear oscillatory flow beyond a micropolar tainted fluid sphere particle in an incompressible non-Newtonian fluid and also the axisymmetric rectilinear oscillatory flow over a viscous tainted fluid sphere particle in an incompressible Newtonian fluid with small amplitude oscillations have been investigated. The velocity field is exhibited in terms of stream functions, and a slip condition is considered on the boundary. The fluid velocities and microrotation components were derived through analytical procedure. The drag force acting on the particle was also computed and verified for special cases. The real drag and imaginary drag values are numerically extracted for varying slip parameter i.e., 2≤s≤30, micro polarity i.e., 8≤e≤32 , and viscosity ratio i.e., 5≤μ≤20 at a fixed parameter values k=0.1,ρ=0.6,ω=0.6,t=0.6. Graphs and tables are used to display the numerical results. It was observed that there was an inverse proportion between slip parameter values, real drag and direct proportion between slip parameter and imaginary drag, for different viscosity ratio and micro polarity values.

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“…Jayalakshmamma et al [29] studied numerically the steady ow of an incompressible micropolar uid past an impervious sphere. Mishra and Gupta [30] studied creeping ow of micro polar uid past composite sphere. Numerical and analytical study of ow past porous sphere embedded in micropolar uid by Ramalakshmi and Pankaj Shukla [31].…”

Section: Introductionmentioning

confidence: 99%

Couple stress fluid flow due to slow steady oscillations of a permeable sphere

Aparna

Padmaja

Pothanna

et al. 2020

Nonlinear Engineering

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The study of oscillating flow of a Couple Stress fluid past a permeable sphere is considered. Analytical solution for the flow field in terms of stream function is obtained using modified Bessel functions. The formula for Drag acting on the sphere due external flow is evaluated. Pressure field for the flow region past and inside the sphere is obtained. Effects of physical parameters like couple stress parameter, permeability, frequency and geometric parameters on the drag due to internal and external flows are represented graphically. It is observed that the drag for viscous fluid flow will be less than the case of couple-stress fluid flow and hence couple stress fluids offer resistance for flow.

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Drag Experienced by a Composite Sphere in an Axisymmetric Creeping Flow of Micropolar Fluid

Cited by 5 publications

References 23 publications

Drag on a semipermeable spherical particle covered by a couple stress fluid

Drag on a semipermeable spherical particle covered by a couple stress fluid

A Study on Oscillatory Micropolar Flow Beyond a Contaminated Micropolar Fluid Sphere

Couple stress fluid flow due to slow steady oscillations of a permeable sphere

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