Comparative study of some constitutive equations characterising non-Newtonian fluids

Bhatnagar, PL (1967) Comparative study of some constitutive equations characterising non-Newtonian fluids. In: Proceedings of the Indian Academy of Sciences - Section A, 66 (6). pp. 342-352.

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Abstract

This paper compares, in a general way, the predictions of the constitutive equations given by Rivlin and Ericksen, Oldroyd, and Walters. Whether we consider the rotational problems in cylindrical co-ordinates or in spherical polar co-ordinates, the effect of the non-Newtonicity on the secondary flows is collected in a single parameterα which can be explicitly expressed in terms of the non-Newtonian parameters that occur in each of the above-mentioned constitutive equations. Thus, for a given value ofα, all the three fluids will have identical secondary flows. It is only through the study of appropriate normal stresses that a Rivlin-Ericksen fluid can be distinguished from the other two fluids which are indistinguishable as long as this non-Newtonian parameter has the same value.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences - Section A
Publisher:	Indian Academy of Sciences
Additional Information:	Copy right of this article belongs to Indian Academy of Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	02 Jun 2010 08:24
Last Modified:	19 Sep 2010 06:06
URI:	http://eprints.iisc.ac.in/id/eprint/27761

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