Creeping flow of Micropolar fluid past a fluid sphere with  non-zero spin boundary condition

In this paper, the concept of microstructural slip is introduced in the flow of micropolar fluids pertinent to model various physical situations. The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. The system of governing equations is implemented using MATLAB bvp4c function along with the initial-boundary conditions. The code is validated by comparing the computed results in the limiting case with the available literature. Influence of microstructural slip on the skin friction coefficient and Nusselt number along with hydrodynamic and thermal boundary layer profiles is studied and discussed. It is found that, in the presence of microstructural slip, the microrotational velocity boundary layer thickness decreases up to a maximum of 37.5% in its value, in comparison to the case where there is no microstructural slip effect. The results predict that, in the presence of first-order translational slip, the microrotations have shown counterrotational phenomena in comparison to the case where there is no translational slip effect. Moreover, second-order translational slip results in declining the microrotational velocity and associated layer thickness.

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“…In Table 1, slip factor c results in declining the skin friction coefficient which is compatible with the other research studies [29,30].…”

Section: Solution Methodology and Code Validationsupporting

confidence: 90%

On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow

et al. 2020

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“…The review article by Ariman et al, [3] and monograph of Lukaszewicz [4], reported valuability of the micropolar theory. 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.…”

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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“…They also took into consideration the experiences of the micropolar fluids in comparison with the viscous fluids. Deo and Shukla [17] in their study evaluated analytically the drag experienced by a fluid sphere with micropolar fluid passing over it and micro rotation vector has non‐homogeneous condition. Gupta and Deo [18] in their study computed the drag force experience by a micropolar fluid passing over a fluid sphere with a thin viscous fluid film on its surface.…”

Section: Introductionmentioning

confidence: 99%

Stokes flow of Micropolar fluid beyond fluid sphere with slip condition

Kunche

Meduri

2022

Z Angew Math Mech

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The present study is about the impact of the fluid motions of the micropolar fluids internally and externally of the fluid sphere with an interfacial slip condition using the analytic method. This enables to bring out solutions for the flow fields as indicated by the stream functions and the drag of the sphere. The work explores the possibilities of change in the slip and drag conditions and their evaluations are graphically proven. Apart from this, the study also identifies that the micropolar fluid flows beyond the Newtonian fluid sphere and vice versa by analyzing the stream functions and the drag of the sphere.

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Creeping flow of Micropolar fluid past a fluid sphere with non-zero spin boundary condition

Cited by 12 publications

References 8 publications

On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow

On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow

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

Stokes flow of Micropolar fluid beyond fluid sphere with slip condition

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