Dynamics and 'normal stress' evaluation of dilute suspensions of periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers
IR@NAL: CSIR-National Aerospace Laboratories, Bangalore
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| Title |
Dynamics and 'normal stress' evaluation of dilute suspensions of periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers
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| Creator |
Madhukar, K
Kumar, PV Ramamohan, TR Shivakumara, PV |
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| Subject |
Fluid Mechanics and Thermodynamics
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| Description |
The problem of determining the force acting on a particle in a fluid where the motion of the
fluid and the particle is given at low nonzero Reynolds numbers has been considered in some detail in
the literature. In this work, we propose an example of a new class of problems wherein, the fluid is
quiescent and the effect of an external periodic force on the motion of the particle is determined at low
nonzero Reynolds numbers. We present an analysis of the dynamics of dilute suspensions of
periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers
including the effects of both convective and unsteady inertia. The inclusion of both forms of inertia
leads to a nonlinear integro - differential equation which is solved numerically for the velocity and
displacement of the individual particle. We show that a 'Normal Stress' like parameter can be evaluated
using standard techniques following Batchelor (Batchelor 1970). Hence this system allows for an
experimentally accessible measurable macroscopic parameter, analogous to the 'Normal stress', which
can be related to the dynamics of individual particles. We note that this 'Normal stress' arises from the
internal fluctuations induced by the periodic force. In addition, a preliminary analysis leading to a possible application of separating particles by shape is presented. We feel that our results show possibilities of being technologically important since the 'Normal stress' depends strongly on the controllable parameters and our results may lead to insights in the development of active dampeners
and smart fluids. Since we see complex behavior even in this simple system, it is expected that the macroscopic behavior of such suspensions may be much more complex in more complex flows.
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| Publisher |
Indian Academy of Sciences
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| Type |
Journal Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://nal-ir.nal.res.in/8901/1/Sadhrev2.pdf
Madhukar, K and Kumar, PV and Ramamohan, TR and Shivakumara, PV Dynamics and 'normal stress' evaluation of dilute suspensions of periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers. Sadhana . ISSN 0256-2499 (In Press) |
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| Relation |
http://nal-ir.nal.res.in/8901/
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