Theoretical study of two-dimensional unsteady Maxwell fluid flow over a vertical Riga plate under radiation effects

The heat and mass transfer mechanism has gained importance in technical, industrial, and engineering processes following the use of thermal radiation in nanomaterials with improved thermal properties. Nanomaterials with improved thermal characteristics can be utilized in the formulation of energy to expand the industrial growth of countries. The e ects of thermal radiation on the rate-type uid passing through a Riga plate are examined in this article. The impact of thermophoresis and Brownian motion has signi cant importance. The mathematical explanation of the problem is given with the help of partial di erential equations. The coupled nonlinear form of ordinary differential equations is achieved via the appropriate methodology of similarity variables. Utilizing suitable MATLAB software, we have achieved numerical solutions for simplified nonlinear equations. The physical parameters have exceptional impacts on the behavior of velocity, temperature, and concentration elds based on graphs. From this study, it is concluded that the Deborah number has an increasing e ect on the pattern of uid velocity. The rising values of the Prandtl number reduce the temperature profile while the higher values of the radiation parameter escalate the temperature profile. © 2022 Sharif University of Technology. All rights reserved.