Dynamics and ‘normal stress’ evaluation of dilute suspensions of periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| 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 |
T R, Ramamohan
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| Subject |
Computational Fluid dynamics
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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 has been considered in some
detail in the literature. In this work, we propose an example of a new class of problems
where, the fluid is quiescent and the effect of an external periodic force on the
motion of the particle is determined at low non-zero 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 of
Batchelor. 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 behaviour even in this simple system, it is expected
that the macroscopic behaviour of such suspensions may be much more complex
in more complex flows.
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| Publisher |
Springer
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| Date |
2010-12
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| Type |
Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/96/1/madhusadh.pdf
T R, Ramamohan (2010) Dynamics and ‘normal stress’ evaluation of dilute suspensions of periodically forced prolate spheroids in a quiescent Newtonian fluid at low Reynolds numbers. Sadhana, 35 (6). pp. 659-679. ISSN ISSN: 0256-2499 (print version) ISSN: 0973-7677 (electronic version) |
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| Relation |
http://www.ias.ac.in/sadhana/
http://cir.cmmacs.ernet.in/96/ |
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