Flow generated by slow steady rotation of a permeable sphere in a micro-polar fluid

Aparna, P.; Pothanna, N.; Murthy, J. V. Ramana; Sreelatha, K.

doi:10.1016/j.aej.2017.01.018

Cited by 14 publications

(4 citation statements)

References 19 publications

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“…Pothanna and Aparna [8] studied unsteady thermo-viscous flow in a porous slab over an oscillating flat plate. Aparna et al [1,2] studied flow generated by slow steady rotation of a permeable sphere in a micro-polar fluid and also couple on a rotating permeable sphere in a couple stress fluid. Nagaraju and Aparna [9] explore unsteady rotatory oscillations of a vertical cylinder in Jeffery fluid with ion slip currents and porous medium.…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Study of Steady Flow of Thermo-Viscous Fluid Between Two Horizontal Parallel Plates in Relative Motion

Pothanna¹,

Aparna²,

Sireesha³

et al. 2022

Comm. Math. Appl.

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In the present paper we examined the Analytical and Numerical study of steady flow of thermo viscous fluid between two parallel horizontal plates in relative motion. The numerical solutions of governing equations of flow involving velocity and temperature have been obtained using 6 th order R-K methods via MATHEMATICA ND solver. The governing equations of the flow also have been solved analytically. The numerical solutions for different values of the physical parameters like thermal stress interaction material coefficient, thermo conductivity parameter and the porosity coefficient have been presented in terms of tables and illustrated graphically. The results for linearized steady incompressible motion fluid flow in between two non-porous parallel horizontal plates also obtained both numerically and analytically. The numerical and analytical results are compared and are verified to be in good convergence. The solutions of the present investigation will definitely give an excellent perception of nuclear, industrial and clinical applications.

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Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Study of Steady Flow of Thermo-Viscous Fluid Between Two Horizontal Parallel Plates in Relative Motion

Pothanna¹,

Aparna²,

Sireesha³

et al. 2022

Comm. Math. Appl.

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“…New analytical method for the study of natural convection ow of a non-Newtonian uid was studied by Rashidi et al [25]. A steady ow of a sphere in a rotation motion in a micro-polar uid was ana-lyzed by the author [26]. Webster [27] has considered non-Newtonian and turbulent uid models.…”

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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“…Sherief et al (2019b) studied the axisymmetric creeping motion caused by a spherical particle in a micropolar fluid within a nonconcentric spherical cavity. The flow generated by slow steady rotation of a permeable sphere in a micropolar fluid was discussed in (Aparna et al, 2017) The microstretch fluids model attracted the attention of low number of researchers to investigate. Ariman (1970) studied the problem of Poiseuille flow of a microstretch fluid between two parallel plates.…”

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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Flow generated by slow steady rotation of a permeable sphere in a micro-polar fluid

Cited by 14 publications

References 19 publications

Analytical and Numerical Study of Steady Flow of Thermo-Viscous Fluid Between Two Horizontal Parallel Plates in Relative Motion

Analytical and Numerical Study of Steady Flow of Thermo-Viscous Fluid Between Two Horizontal Parallel Plates in Relative Motion

Couple stress fluid flow due to slow steady oscillations of a permeable sphere

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

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