• Comparative study of some constitutive equations characterising non-Newtonian fluids

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/seca/066/06/0342-0352

    • Keywords

       

      Constitutive Equation; Stress Component; Secondary Flow; Real Fluid; Primary Flow

    • 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.

    • Author Affiliations

       

      P L Bhatnagar1

      1. Department of Applied Mathematics, Indian Institute of Science, Bangalore 12, India
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