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      Permanent link:
      https://www.ias.ac.in/article/fulltext/sadh/044/03/0066

    • Keywords

       

      Micro-polar fluids; longitudinal oscillations; resonance flow; skin friction.

    • Abstract

       

      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 nonresonancecase, 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 evaluatedand the effect of physical parameters like micro-polarity and couple stress parameter on the skin friction due to oscillations is shown through graphs.

    • Author Affiliations

       

      T GOVINDA RAO1 J V RAMANA MURTHY2 G S BHASKARA RAO1

      1. Department of Basic Sciences and Humanities, Gudlavalleru Engineering College, Gudlavallru 521356, India
      2. Department of Mathematics, National Institute of Technology, Warangal 506004, India
    • Dates

       

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