Effect of activation energy on Casson–Maxwell fluid via porous media including blowing and suction mechanisms

Abstract

Purpose:

The Casson–Maxwell fluid model, when subjected to an applied magnetic field with suction, blowing, and activation energy considerations, offers a comprehensive framework for understanding and optimizing the behavior of complex fluids in various applications. By accounting for yield stress, viscoelastic properties, and temperature-dependent effects, the model enhances process design, performance optimization, and efficiency across industrial, biomedical, environmental, and energy systems.

Design/Methodology/Approach:

This study examines the steady flow of a Casson–Maxwell fluid over a porous stretching sheet influenced by Arrhenius activation energy, an applied magnetic field, multiple slip conditions, and surface suction and blowing effects. The analysis incorporates thermal radiation and concentration variations influenced by activation energy, chemical reactions, and multiple slip effects. This approach provides a comprehensive understanding of the complex interactions governing such systems, with relevance to applications in polymer processing, food processing, blood flow in medical devices, and drug delivery systems. Using the shooting method in Matlab, the Runge–Kutta–Fehlberg approach evaluates the convergence of the numerical solution to the governing equations.

Findings:

The results, illustrated through visualizations, elucidate the impact of various non-dimensional parameters including slip parameters on the boundary layers of the Casson–Maxwell fluid model under suction and injection. Parameters such as the Hartmann number, porous medium factor, Maxwell and Casson fluid parameters, Darcy number, Soret and Prandtl numbers, radiation parameter, Schmidt and Eckert numbers, chemical reaction parameter, Arrhenius activation energy parameter, and slip parameters significantly influence boundary layer behavior. The observed variations are attributed to enhanced resistive forces from the magnetic field, reduced yield stress, viscoelastic effects, and decreased shear stress at the boundary.

Originality/values:

This study presents a novel investigation into the effects of suction and blowing on the steady flow of a non-Newtonian Casson–Maxwell fluid over a stretched porous flat plate. By incorporating linear velocity, momentum, thermal and concentration slip conditions, solar radiation, external magnetic flux, thermal and chemical reactions, Arrhenius activation energy, and suction and blowing effects, the research explores under-examined factors in fluid dynamics. The study’s originality and relevance lie in addressing these factors, which have significant implications but have been insufficiently explored in previous research, thereby underscoring the importance of this contribution.