C. Fetecău†
Abstract: The problem of exact solutions for isothermal motions of nonNewtonian fluids is of interest yet and a new way to get them is welcome. In this work an important observation regarding the governing equations corresponding to some isothermal hydromagnetic unidirectional motions of incompressible Maxwell fluids is brought to light. It allows us to easily determine exact solutions for motions with shear stress or velocity on the boundary when similar solutions for motions with velocity, respectively shear stress on the boundary are know. To exemplify, the solutions of some hydromagnetic motion problems of Maxwell fluids with velocity on the boundary are used to generate exact steady state solutions for similar motions of same fluids with shear stress on the boundary. These solutions are very important for the experimental researchers who want to know the required time to reach the steady state.
MSC: 76A05.
keywords: Maxwell fluids, hydromagnetic motions, steady state solutions, applications.
DOI 10.56082/annalsarscimath.2023.1-2.12
*c_fetecau@yahoo.com. Address: Section of Mathematics, Academy of Romanian Scientists, str. Ilfov, no.3, 050094 Bucharest, Romania.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
