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© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

The purpose of the present study is to obtain regularity results and existence topics regarding an Eyring–Powell fluid. The geometry under study is given by a semi-infinite conduct with a rectangular cross section of dimensions L×H. Starting from the initial velocity profiles (u10,u20) in xy-planes, the fluid flows along the z-axis subjected to a constant magnetic field and Dirichlet boundary conditions. The global existence is shown in different cases. First, the initial conditions are considered to be squared-integrable; this is the Lebesgue space (u10,u20)L2(Ω), Ω=[0,L]×[0,H]×(0,). Afterward, the results are extended for (u10,u20)Lp(Ω)p>2. Lastly, the existence criteria are obtained when (u10,u20)H1(Ω). A physical interpretation of the obtained bounds is provided, showing the rheological effects of shear thinningand shear thickening in Eyring–Powell fluids.

Details

Title
Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
Author
Saeed ur Rahman 1 ; Diaz Palencia, Jose Luis 2   VIAFID ORCID Logo  ; Nomaq Tariq 1 ; Pablo Salgado Sánchez 3 ; Julian Roa Gonzalez 2   VIAFID ORCID Logo 

 Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan 
 Department of Education, Universidad a Distancia de Madrid, 28400 Madrid, Spain 
 Spanish User Support and Operations Centre, Center for Computational Simulation, Universidad Politécnica de Madrid, 28223 Madrid, Spain 
First page
625
Publication year
2022
Publication date
2022
Publisher
MDPI AG
e-ISSN
20751680
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2734603044
Copyright
© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.