Usha R

Department of Mathematics

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Interaction of Pulsatile and Peristaltic Transport Induced Flows of a Particle-Fluid Suspension

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

The particulate suspension flow in a channel whose walls describe a travelling wave motion is examined numerically. A perturbation method is employed and the primitive variables are expanded in a series with the wall amplitude as the perturbation parameter. The boundary conditions are applied at the mean surface of the channel and the first-order perturbation quantities are numerically determined by solving the governing system of ordinary differential equations by shooting technique. The present approach does not impose any restriction on the Reynolds number of the flow and the wave number and frequency of the wavy-walled channel, although it is limited by the linear analysis. The wall shear stress and the positions of flow separation and reattachment points are computed and the influence of the volume fraction density of the particles is examined. The variations of velocity and pressure of the particulate suspension flow with frequency of excitation are also presented. Copyright © 2005 John Wiley & Sons, Ltd.

International Journal for Numerical Methods in Fluids

Numerical study of particulate suspension flow through wavy-walled channels

A numerical study of the linear temporal stability characteristics of particulate suspension flow through a converging-diverging symmetric wavy-walled channel is considered. The basic flow is a superposition of plane channel flow of particulate suspension and periodic flow components arising due to the small amplitude sinusoidal waviness of the channel walls. The disturbance equations are derived within the framework of Floquet theory and solved using the spectral collocation method. The effects of small amplitude sinusoidal waviness of the channel walls and those of the presence of particles on the initial growth of the disturbances are examined. Two-dimensional stability calculations for particulate suspensions indicate the presence of fast growing unstable modes that arise due to the waviness of the walls. Neutral stability calculations are performed in the disturbances wavenumber-Reynolds number (α s -R e) plane, for the wavy channel with representative values of wavenumber (λ) and the wall amplitude to semi-channel height ratio ([InlineMediaObject not available: see fulltext.]) for different values of volume fraction density of the particles (C). It is observed that the critical Reynolds number for transition decreases with increase of [InlineMediaObject not available: see fulltext.] and C. However, the flow can be modulated by suitable wall excitation which in turn can stabilize the flow. © Springer-Verlag Wien 2005.

Journal	Data powered by TypesetZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Publisher	Data powered by TypesetWiley-VCH Verlag
ISSN	00442267
Open Access	No