Resonance type flow due to rectilinear oscillations of a sphere in a micropolar fluid

Murthy, J. V. Ramana; Rao, G S Bhaskara; Rao, T. Govinda

doi:10.1088/1742-6596/662/1/012015

Cited by 1 publication

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“…For example, this case arises in the papers of [6][7][8], but these cases were not attempted by the authors. Recently Ramana Murthy et al [9,10] investigated the resonance case of rectilinear oscillations of circular cylinder and sphere. In [11], the resonance case of rotary oscillations of the sphere is investigated.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal oscillations of a circular cylinder in a micro-polar fluid: case of resonance

Rao¹,

Murthy

Rao³

2019

Sādhanā

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The problem of the longitudinal oscillations of a circular cylinder along its axis of symmetry in an incompressible micro-polar fluid and the flow generated due to these oscillations in the fluid is considered. The Stokes flow is considered by neglecting nonlinear convective terms in the equations of motion on the assumption that the flow is so slow that oscillations' Reynolds number is less than unity. Here we get a rare, but distinct special case referred to as resonance in which material constants are interrelated in a particular way. In nonresonance case, all material constants are independent and are not related. The solution in this case cannot be obtained as limiting case of a non-resonance problem. The velocity and micro-rotation components of the flow for the case of resonance and non-resonance are obtained. The skin friction acting on the cylinder is evaluated and the effect of physical parameters like micro-polarity and couple stress parameter on the skin friction due to oscillations is shown through graphs.

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