Drag on a permeable sphere placed in a micropolar fluid with non-zero boundary condition for microrotations

Mishra, Vandana; Gupta, Bhagwati P.

doi:10.17512/jamcm.2016.3.10

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…Satya Deo and Pankaj Shukla [5] calculated the drag generated by a liquid sphere with non-newtonian liquid moving over it with a non-homogeneous micro rotation vector on the boundary by using an analytic method. Jaiswal and Gupta [6] conducted a sustainable analysis of the steady axisymmetric creeping flow of an incompressible non-Newtonian liquid beyond an immersible Reiner-Rivlin liquid sphere and noticed that the cross-viscosity raises the drag on the Reiner-Rivlin sphere in the non-Newtonian liquid. 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.…”

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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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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“…A study of a Couple acting on a couple-stress uid for rotary ows across a permeable sphere was carried out [8]. Vandana Mishra and Ram Gupta [9] studied the concept of analytically uniform ow of steady axi-symmetric creeping ow of an incompressible micro-polar uid around the permeable sphere. They considered non homogeneous boundary conditions for micro-rotation vector.…”

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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“…The slow steady rotation of micropolar fluid sphere in concentric spherical container using non-zero boundary condition for microrotation vector was solved by Madasu and Gurdatta (2015) and they obtained the hydrodynamic couple and wall correction factor exerted on the micropolar fluid. Mishra and Gupta (2016) solved the problem of drag on permeable sphere placed in micropolar fluid with non-zero boundary condition for microrotation and they observed that drag is greater in the case of zero micro-rotation vector than in the case of non-zero micro-rotation vector. Later on they (2017) also considered the problem of motion of a permeable shell in a spherical container filled with micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

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

Mishra

Gupta

2018

JAFM

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This paper concerns an analytical study of a steady axisymmetric uniform flow of an incompressible micropolar fluid past a permeable sphere that contains a solid sphere. The mathematical expression for the flow fields are obtained in terms of stream function by using modified Bessel's function and Gegenbauer function. No-slip condition, zero microrotation components, continuity of normal velocity which is equal to the filtration velocity on the surface of the sphere are used as boundary conditions. It is assumed that the fluid obeys Darcy law at the permeable surface. The internal and external drag force exerted by the fluid on the sphere, flow rate and the relevant quantities such as pressures, microrotation vectors have been calculated. It is observed that drag is greater for impermeable sphere as compared to permeable sphere. As permeability parameter increases the flow rate also increases rapidly. Various useful results are obtained and compared with the previous particular cases.

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Drag on a permeable sphere placed in a micropolar fluid with non-zero boundary condition for microrotations

Cited by 5 publications

References 16 publications

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

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

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

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