Steady Rotation of Micropolar Fluid Sphere in Concentric Spherical Container

Madasu, Krishna Prasad; Gurdatta, Manpreet Kaur

doi:10.1016/j.proeng.2015.11.400

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…In the present study we apply the spin vorticity relationship at the boundary. These conditions are physically realistic and mathematically consistent [5,8,9,16]. The boundary conditions on the surface r = a are i. Continuity of velocity components…”

Section: Boundary Conditionsmentioning

confidence: 86%

Rotary oscillations of a micropolar fluid sphere in a bounded medium

Madasu

Gurdatta

2017

ACM

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The present study examines the axisymmetric rotary oscillation of a micropolar fluid sphere in concentric spherical cavity filled with Newtonian viscous fluid. A continuity of velocity components and stress together with the spin vorticity relation are used at the interface between fluid-fluid regions. The torque exerted on the micropolar fluid sphere is obtained analytically and the real and imaginary torque coefficients are presented graphically. The effect of the micropolarity parameter, viscosity ratio and spin parameter on the torque are studied numerically. In the limiting cases, the torque acting on the rotating micropolar fluid sphere and solid sphere in concentric spherical cavity are obtained from the present analysis.

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Section: Boundary Conditionsmentioning

confidence: 86%

Rotary oscillations of a micropolar fluid sphere in a bounded medium

Madasu

Gurdatta

2017

ACM

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“…Finally, in this section, we aim to visually present the derived asymptotic solution for problem (7)- (9). We take the following values for the viscosity constants (see e.g., [21,22]…”

Section: Numerical Examplementioning

confidence: 99%

Asymptotic Approximation of the Nonsteady Micropolar Fluid Flow through a Circular Pipe

Pažanin

Radulović

2018

Mathematical Problems in Engineering

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We study the nonsteady flow of a micropolar fluid through a thin cylindrical pipe. The asymptotic behaviour of the flow is found via asymptotic analysis with respect to the small parameter ϵ, representing the pipe’s thickness. The asymptotic approximation is derived in the form of the explicit formulae for the fluid velocity and microrotation. We also provide the numerical examples in order to visualize the effects of the micropolar nature of the fluid. The illustrations indicate the influence of the micropolarity on the effective flow of the fluid in the whole domain. In particular, those effects are most clearly observed for the velocity approximation near the boundary of the domain.

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“…Faltas and Saad (2005) discussed the Stokes flow with slip caused by the axi-symmetric motion of a sphere bisected by a free surface bounding a semiinfinite micropolar fluid. The problem of steady rotation of a micropolar fluid sphere in concentric spherical container was discussed by Madasu and Gurdatta (2015). Faltas et al (2012) studied the steady-state axisymmetric flow of an incompressible micropolar fluid past two spherical particles.…”

Section: Introductionmentioning

confidence: 99%

Steady motion of an incompressible microstretch fluid between two rotating spheres with slip conditions

Slayi¹,

Ashmawy²

2019

Int. j. adv. appl. sci.

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In this paper, the steady rotational motion of an incompressible microstretch fluid between two rotating spheres is investigated. The slip boundary conditions are proposed on the spherical boundaries. The two spheres are assumed to be rotating with different angular speeds. Closed form solutions for the velocity, microrotation, and microstretch are obtained. Numerical results are presented and the effects of slip and spin parameters on the velocity, microrotation, and microstretch are discussed through graphs.

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Steady Rotation of Micropolar Fluid Sphere in Concentric Spherical Container

Cited by 7 publications

References 13 publications

Rotary oscillations of a micropolar fluid sphere in a bounded medium

Rotary oscillations of a micropolar fluid sphere in a bounded medium

Asymptotic Approximation of the Nonsteady Micropolar Fluid Flow through a Circular Pipe

Steady motion of an incompressible microstretch fluid between two rotating spheres with slip conditions

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