Modeling and simulation of Cattaneo-Christov fluxes in entropy induced flow through Reiner-Rivlin fluid conveying tiny particles

Hydromagnetic mixed convective flow obeying constitutive relations of Reiner-Rivlin conveying tiny particles is addressed. Flow by stretching cylinder is modeled. Analysis has been car-ried out in presence of an applied magnetic field. Formulation is based upon fluxes by Cattaneo-Christov relation. Thermal expression comprises viscous dissipation and Ohmic heating. Buon-giorno model is utilized to explore nanoliquid significance. Physical illustration of entropy rate is incorporated. Governing expressions are reduced to non-dimensional system. Solutions develop-ment by optimal homotopy analysis approach (OHAM) is arranged. Graphical description for var-ious influential variables is organized. Clearly velocity and entropy rate for curvature are enhanced. Magnetic field has reverse impact on flow and temperature. Thermal relaxation time variable upsurges thermal field. Decrease in concentration occurs through Schmidt number. Brinkman num-ber augments the entropy rate. Opposite characteristics are observed for entropy rate through mag-netic and temperature difference variables. Decrease in concentration is detected against random motion variable. Increase in temperature occurs for thermophoresis variable.(c) 2023 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

This article addresses the issue of hydromagnetic mixed convective flow conveying tiny particles obeying the constitutive relations of Reiner-Rivlin. The flow by a stretching cylinder is modeled, and an applied magnetic field is considered. The formulation is based on the fluxes by the Cattaneo-Christov relation, while the thermal expression includes viscous dissipation and Ohmic heating. The study utilizes the Buongiorno model to explore the significance of nanoliquid and incorporates a physical illustration of entropy rate. The governing expressions are reduced to a non-dimensional system, and the solutions are developed using the optimal homotopy analysis approach (OHAM). Graphical descriptions of various influential variables are organized, showing enhanced velocity and entropy rate for curvature. The magnetic field has a reverse impact on flow and temperature, and the thermal relaxation time variable increases the thermal field. Decrease in concentration occurs through Schmidt number, while the Brinkman number augments the entropy rate. Opposite characteristics are observed for the entropy rate through magnetic and temperature difference variables, and a decrease in concentration is detected against the random motion variable. An increase in temperature occurs for the thermophoresis variable.