• SIMILARITY SOLUTIONS OF LAMINAR INCOMPRESSIBLE BOUNDARY LAYER EQUATIONS OF NON-NEWTONIAN VISCOINELASTIC FLUIDS

R. M. Darji*, M. G. Timol**

Abstract


Using deductive group theoretic method, similarity solutions for steady, two dimensional laminar boundary layer flows of incompressible non-Newtonian viscoinelastic fluids are derived. The important conclusion drawn from the present analysis is that for non-Newtonian viscoinelastic fluids of any model, similarity solutions exist only for the flows past 90 wedge. The only limitation for the existence of similarity solutions of present flow geometry is that the stress and the rate of strain can be related by arbitrary continuous function. Numerical solution for the Prandtl-Eyring model is presented in dimensionless form as an engineering application of the present analysis.

Keywords


Deductive group theoretic method, Similarity solutions, Non-Newtonian fluids, Viscoinelastic fluids, Prandtl-Eyring model,

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