Boundary effects of a nonconcentric semipermeable sphere using Happel and Kuwabara cell models

Madasu, Krishna Prasad

doi:10.24132/acm.2021.620

Cited by 5 publications

(3 citation statements)

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“…Also, they observed that the drag exerted on an impervious sphere is higher than the drag on a permeable sphere. Krishna Prasad [5] investigated the drag of an incompressible, viscous fluid on a noncentric, semipermeable sphere. He concluded from the article that the drag on an eccentric solid sphere is greater than that on a semipermeable sphere.…”

Section: Introductionmentioning

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: Introductionmentioning

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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“…Abbas et al, [1] discussed the boundary layer flow over a solid sphere considering the impacts of thermal radiation Prandtl number and mixed convection. The mechanism of boundary layer flow with a semipermeable sphere to describe the Happel and Kuwabara cell models through an 180 incompressible fluid has been investigated by Madasu [2]. Mohamed et al, [3] presented a dust nanoparticles model around an isothermal sphere to calculate the heat flux of nanofluids by natural convection through the bvp4c numerical technique.…”

Section: Introductionmentioning

confidence: 99%

Using Micropolar Nanofluid under a Magnetic Field to Enhance Natural Convective Heat Transfer around a Spherical Body

Yaseen¹,

Alwawi

Swalmeh³

et al. 2022

ARFMTS

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An analysis is discussed of the heat and mass transfer for micropolar nanofluid in presence of natural convection from a spherical body with magneto-hydrodynamic (MHD) effects. The constant wall temperature boundary condition is also studied. By employing proper similarity transformations, the governing equations are converted into a set of partial differential equations (PDEs) with the used boundary conditions, which can then be solved numerically via the efficient Keller-box implicit numerical finite difference method. The numerical results of impacts of the controlling parameters on heat transfer physical quantities have been presented, tabular and graphically, by MATLAB symbolic software. Comparisons of the current study results to previously published results show good agreement, indicating that our numerical computations are legitimate and accurate. Increasing nanoparticle volume fraction is observed to depress local skin friction, Nusselt number, and angular velocity while the reverse effects are observed for velocity and temperature.

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“…She allowed different boundary conditions to be applicable at the cell surface and studied its effect on the flow. Recently, Prasad [28] worked on finding the boundary effects on an eccentric semipermeable sphere by using cell models.…”

Section: Introductionmentioning

confidence: 99%

Archive of Mechanical Engineering

Bucha,

Prasad

2021

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The perspective of the current analysis is to represent the incompressible viscous flow past a low permeable spheroid contained in a fictitious spheroidal cell. Stokes approximation and Darcy's equation are adopted to govern the flow in the fluid and permeable zone, respectively. Happel's and Kuwabara's cell models are employed as the boundary conditions at the cell surface. At the fluid porous interface, we suppose the conditions of conservation of mass, balancing of pressure component at the permeable area with the normal stresses in the liquid area, and the slip condition, known as Beavers-Joseph-Saffman-Jones condition to be well suitable. A closed-form analytical expression for hydrodynamic drag on the bounded spheroidal particle is determined and therefore, mobility of the particle is also calculated, for both the case of a prolate as well as an oblate spheroid. Several graphs and tables are plotted to observe the dependence of normalized mobility on pertinent parameters including permeability, deformation, the volume fraction of the particle, slip parameter, and the aspect ratio. Significant results that influence the impact of the above parameters in the problem have been pointed out. Our work is validated by referring to previous results available in literature as reduction cases.

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Boundary effects of a nonconcentric semipermeable sphere using Happel and Kuwabara cell models

Cited by 5 publications

References 0 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

Using Micropolar Nanofluid under a Magnetic Field to Enhance Natural Convective Heat Transfer around a Spherical Body

Archive of Mechanical Engineering

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