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MHD Casson Fluid Flow over a Stretching Sheet with Entropy Generation Analysis and Hall Influence
Mohamed Abd El-Aziz1, Ahmed A Afify2
1Department of Mathematics, Faculty of Science, King Khalid University, Abha 9004, Saudi Arabia.
This study numerically analyzes entropy generation in MHD Casson fluid flow. Results show magnetic and Reynolds parameters increase entropy, while Hall current and slip decrease it.
Area of Science:
- Fluid Dynamics
- Magnetohydrodynamics (MHD)
- Heat Transfer
Background:
- Casson fluid exhibits non-Newtonian behavior, relevant in various industrial applications.
- Magnetohydrodynamics (MHD) describes the dynamics of electrically conducting fluids in magnetic fields.
- Entropy generation and Hall effects are crucial factors influencing fluid flow and heat transfer efficiency.
Purpose of the Study:
- To numerically investigate the impacts of entropy generation and Hall current on MHD Casson fluid flow over a stretching surface.
- To analyze the influence of velocity slip factor on the fluid dynamics and thermal characteristics.
- To understand the interplay between various parameters like magnetic field, Reynolds number, and fluid properties on system irreversibility.
Main Methods:
- Governing equations for the MHD Casson fluid flow were established.
- A shooting method combined with a fourth-order Runge-Kutta integration scheme was employed for numerical analysis.
- Parametric studies were conducted to observe the effects of key physical parameters.
Main Results:
- Entropy generation was found to increase with magnetic parameter, Reynolds number, and group parameter.
- Conversely, entropy generation decreased with Hall parameter, Eckert number, Casson parameter, and slip factor.
- The Bejan number showed a reduction with an increase in the group parameter.
Conclusions:
- The study provides insights into optimizing fluid flow and minimizing irreversibility in MHD Casson fluid systems.
- Understanding these complex interactions is vital for designing efficient thermal and fluid systems.
- The findings contribute to the broader field of non-Newtonian fluid dynamics and heat transfer under magnetic influence.
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