Comparative study of some constitutive equations characterising non-Newtonian fluids

  • P. L. Bhatnagar


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.


Constitutive Equation Stress Component Secondary Flow Real Fluid Primary Flow 


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Copyright information

© Indian Academy of Sciences 1967

Authors and Affiliations

  • P. L. Bhatnagar
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangalore 12India

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