Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell.
Author: Díaz Palencia, José Luis; Rahman, Saeed Ur; Sánchez Rodríguez, Juan Carlos; Simón Rodríguez, María Antonia; Filippone Capllonch, Guillermo; Herrero Hernández, Antonio
Abstract: The aim of this article was to provide analytical and numerical approaches to a onedimensional
Eyring–Powell flow. First of all, the regularity, existence, and uniqueness of the solutions
were explored making use of a variational weak formulation. Then, the Eyring–Powell equation was
transformed into the travelling wave domain, where analytical solutions were obtained supported by
the geometric perturbation theory. Such analytical solutions were validated with a numerical exercise.
The main finding reported is the existence of a particular travelling wave speed a = 1.212 for which
the analytical solution is close to the actual numerical solution with an accumulative error of <10-3.
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