Using Euler-Lagrange Variational Principle to Obtain Flow Relations for Generalized Newtonian Fluids

Taha Sochi

doi:10.1007/s00397-013-0741-3

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arXiv · 1301.2827

Using Euler-Lagrange Variational Principle to Obtain Flow Relations for Generalized Newtonian Fluids

Taha Sochi

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Abstract

Euler-Lagrange variational principle is used to obtain analytical and numerical flow relations in cylindrical tubes. The method is based on minimizing the total stress in the flow duct using the fluid constitutive relation between stress and rate of strain. Newtonian and non-Newtonian fluid models; which include power law, Bingham, Herschel-Bulkley, Carreau and Cross; are used for demonstration.

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Taha Sochi. 2013-01-13. Using Euler-Lagrange Variational Principle to Obtain Flow Relations for Generalized Newtonian Fluids. https://doi.org/10.1007/s00397-013-0741-3

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