Chemical Reactions and Radiation Impact on the Dufour and Heat Source's effects on Casson fluid flows over an Inclined Oscillation Plate

Abstract

Introduction: This study presents an analytical investigation of unsteady free convective hydromagnetic boundary layers, with a focus on the effects of Dufour, heat radiation, and chemical reactions on the flow of Casson fluid over an inclined oscillating plate. The system is considered under uniform temperature and varying concentration conditions, interacting with a rotating porous medium. The governing equations are formulated and solved using the Laplace transform method. The numerical results are illustrated graphically, highlighting variations in temperature, velocity, and concentration for different parameter values. The study of Casson fluid dynamics has garnered significant attention due to its applications in biomedical engineering, polymer processing, and other industrial processes. Understanding the influence of heat and mass transfer parameters such as the Dufour number (Df), thermal radiation (R), and chemical reaction (K) on Casson fluid flow is crucial for optimizing thermal management in various engineering applications.

Objectives: The objective of this research is to analyze the behavior of Casson fluid under the combined effects of rotation and a porous medium, examining how these factors influence temperature distribution, velocity profiles, and concentration fields. By comparing Casson fluid to Newtonian fluid, this study also highlights its unique flow characteristics

Methods: Using the Laplace transform method, the analytical solutions for temperature, velocity, and concentration are obtained. The numerical computations provide insights into the physical significance of key governing parameters.

Results: The study reveals the following key findings

Velocity Profiles: The Casson fluid exhibits higher velocities compared to Newtonian fluid due to its inherent rheological properties. The velocity is enhanced with an increase in the Grashof number (Gr) and heat source intensity but decreases as the radiation parameter increases.

Temperature Variation: The temperature of the fluid decreases with increasing values of Grashof number (Gr), Dufour number (Df), thermal radiation parameter (R), and chemical reaction parameter (K). However, a stronger heat source leads to an increase in temperature.

Concentration Effects: The concentration profile decreases with increasing values of the chemical reaction parameter (K) and Schmidt number (Sc), indicating enhanced mass diffusion effects.

Conclusions : This research provides an in-depth analysis of the unsteady free convective hydromagnetic boundary layers of Casson fluid in a rotating porous medium. The study highlights how temperature, velocity, and concentration profiles are influenced by key parameters such as the Dufour number, thermal radiation, and chemical reaction effects. These findings contribute to a deeper understanding of Casson fluid behavior in various industrial and scientific applications