Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell

José Luis Díaz, Saeed Ur Rahman, Juan Carlos Sánchez Rodríguez, María Antonia Simón Rodríguez, Guillermo Filippone Capllonch and Antonio Herrero Hernández
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José Luis Díaz: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain
Saeed Ur Rahman: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan
Juan Carlos Sánchez Rodríguez: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain
María Antonia Simón Rodríguez: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain
Guillermo Filippone Capllonch: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain
Antonio Herrero Hernández: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain

Mathematics, 2022, vol. 10, issue 4, 1-15

Abstract: The aim of this article was to provide analytical and numerical approaches to a one-dimensional 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 .

Keywords: travelling waves; Eyring–Powell; geometric perturbation; nonlinear reaction–diffusion; unsteady flow (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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