Variational approach for the flow of Ree-Eyring and Casson fluids in pipes

Abstract

The flow of Ree-Eyring and Casson non-Newtonian fluids is investigated using a variational principle to optimize the total stress. The variationally-obtained solutions are compared to the analytical solutions derived from the Weissenberg-Rabinowitsch-Mooney equation and the results are found to be identical within acceptable numerical errors and modeling approximations.

18 pages, 2 figures

References in corpus (3)

• The Flow of Newtonian and power law fluids in elastic tubes
• Using Euler-Lagrange Variational Principle to Obtain Flow Relations for Generalized Newtonian Fluids
• Further validation to the variational method to obtain flow relations for generalized Newtonian fluids