Computational simulation for MHD peristaltic transport of Jeffrey fluid with density-dependent parameters

• Published in: Scientific reports Vol. 13; no. 1; p. 9191
• Main Authors: Ibrahim, M. G., Abou-zeid, M. Y.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 06.06.2023; Nature Publishing Group; Nature Portfolio
• Subjects: 639/705/1041; 639/766/189; Blood circulation; Humanities and Social Sciences; multidisciplinary; Peristalsis; Reynolds number; Science; Science (multidisciplinary); Velocity
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-023-36277-z

This study aimed to give a new theoretical recommendation for non-dimensional parameters depending on the fluid temperature and concentration. This suggestion came from the fact of fluid density may change with the fluid temperature ( θ ) and concentration ( φ ). So, a newly released mathematical form of Jeffrey fluid with peristalsis through the inclined channel is constructed. The problem model defines a mathematical fluid model which converts using non-dimensional values. A sequentially used technique called the Adaptive shooting method for finding the problem solutions. Axial velocity behavior has become a novel concern to Reynolds number. In contradiction to different values of parameters, the temperature and concentration profiles are designated/sketched. The results show that the high value of the Reynolds number acts as a fluid temperature damper, while it boosts the concentration of the fluid particle. The non-constant fluid density recommendation makes the Darcy number controls with a fluid velocity which is virtually significant in drug carries applications or blood circulation systems. To verify the obtained results, a numerical comparison for obtained results has been made with a trustful algorithm with aid of AST using wolfram Mathematica version 13.1.1.