Drag on a Porous Sphere Enclosed in a Solid Core Embedded in Couple Stress Fluid

Shukla, Pankaj; Shyamala, Sakthivel

doi:10.1615/specialtopicsrevporousmedia.2022045024

Cited by 3 publications

(1 citation statement)

References 42 publications

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“…The component of velocity profile are calculated using stream functions, and the sphere's surface is subjected to a non-slip limit constrain and couple stresses to be vanishing condition. The axisymmetrical steady flow of a couple stress fluid through a porous sphere was studied by Shyamala and Shukla [37,38]. The study of the axially symmetric and uniform flow of couple stress fluid past a rigid core implanted in a permeable region by Madasu and Sarkar [39].…”

Section: Introductionmentioning

confidence: 99%

Motion through a viscous liquid sphere enclosed by a solid core embedded into a Brinkman medium

Shyamala

Shukla

2023

Z Angew Math Mech

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The flow around a solid spherical particle encased in a Newtonian liquid sphere and immersed in a couple stress fluid medium is studied. The problem is expressed by using the Brinkman and Stokes equations, which describe both the flow outside and inside the liquid sphere, respectively. The Gegenbauer polynomials and modified Bessel function are used to express the stream function solution for the internal and external regions. An analytical determination for the flow field in terms of stream function is examined by wielding the method of separation of variables. The drag force on a solid spherical particle placed in a permeable region is calculated. On the drag coefficient, the effects of the permeability 𝜅, the viscosity ratio 𝛾 2 , and the couple stress parameter 𝜆 are investigated.Corresponding dependencies (such as the permeability parameter, couple stress parameter, viscosity ratio, and separation parameter) are graphically represented and discussed. The findings shows when the separation parameter is increased the drag coefficient gradually increases, it refers to a sphere surface with a high level of flow resistance. Passages to the limits are used to describe known specific cases. The present study is essentially significant in the course through a layer developed by penetrable particles and has very important and persuasive applications both in nature and innovation, with various potential outcomes. Thus, the discoveries of this article are comprehensively pertinent to the investigation of the flow of permeable liquids past spherical permeable rocks, aloxite materials, sand beds, earthen soil, petrol supply rocks, and so forth. The present application will support in planning a productive bearing framework.

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Section: Introductionmentioning

confidence: 99%

Motion through a viscous liquid sphere enclosed by a solid core embedded into a Brinkman medium

Shyamala

Shukla

2023

Z Angew Math Mech

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Creeping flow of a couple stress fluid past a semipermeable spherical particle consisting of a solid core: magnetic field effect

Ramasamy,

Chauhan

2024

J Braz. Soc. Mech. Sci. Eng.

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Creeping Flow of Couple Stress Fluid Over a Spherical Field on a Saturated Biporous Medium

Sakthivel,

Shukla,

Ramasamy

2024

J Por Media

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This problem emphasizes the dynamic interaction between a biporous medium and a couple stress fluid of laminar flow. The flow around a permeable field engulfed in a couple stress fluid is examined. When examining the motion of an oil droplet in a porous collector that is surrounded by an aqueous medium (oil-in-water emulsion) and is subject to an external pressure drop, this formulation of the problem is typical. A similar issue arises when lymph enters the tissues of humans or animals: the inside permeable spherical field saturated with viscous fluid and outside region saturated with couple stress fluid. The Brinkman equations are utilized to characterize the couple stress fluid flow in a saturated biporous medium. The couple stress tensor and velocity fields are expressed using Gegenbauer polynomials and Macdonald functions. For the axially symmetric motion, both pressure distribution and the stream function solution are explicitly solved. The method of variable separation is used to investigate an analytical resoluteness for the flow field. The drag force on a saturated biporous medium and the drag coefficient DN are calculated, and the impacts of the permeability κ, the ratio of viscosity (γ2 = μ1 /μ2), the couple stress viscosity ratio (τ = η'/η), and the parameter of couple stress (λ = √μ/η). The appropriate dependencies are graphically delineated and reviewed, including the permeability κ, couple stress parameter λ, viscosity ratio γ2, and couple stress viscosities (η, η'). According to the findings, increasing permeability gradually raises the drag coefficient, which is used to describe a spherical fieldâs surface with a high level resistance of flow. Limits statements are used to illustrate specific cases that are well-known. The current study is significant primarily in the course through a layer formed by penetrable particles and has very important and compelling applications in both nature and innovation, with a variety of potential outcomes.

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Drag on a Porous Sphere Enclosed in a Solid Core Embedded in Couple Stress Fluid

Cited by 3 publications

References 42 publications

Motion through a viscous liquid sphere enclosed by a solid core embedded into a Brinkman medium

Motion through a viscous liquid sphere enclosed by a solid core embedded into a Brinkman medium

Creeping flow of a couple stress fluid past a semipermeable spherical particle consisting of a solid core: magnetic field effect

Creeping Flow of Couple Stress Fluid Over a Spherical Field on a Saturated Biporous Medium

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