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

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.

28 pages and 10 figures

References in corpus (1)

• Newtonian Flow in Converging-Diverging Capillaries

Cited by in corpus (9)

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• The Flow of Newtonian and power law fluids in elastic tubes
• Variational approach for the flow of Ree-Eyring and Casson fluids in pipes
• An efficient algorithm of solution for the flow of generalized Newtonian fluid in channels of simple geometries
• Variational approach for resolving the flow of generalized Newtonian fluids in circular pipes and plane slits
• The flow of power law fluids in elastic networks and porous media
• Flow of Navier-Stokes Fluids in Converging-Diverging Distensible Tubes
• Further validation to the variational method to obtain flow relations for generalized Newtonian fluids
• Reply to "Comment on Sochi's variational method for generalised Newtonian flow" by Pritchard and Corson