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Numerical Simulation of Entropy Generation for Power-Law Liquid Flow over a Permeable Exponential Stretched Surface
Mohamed Abd El-Aziz1,2, Salman Saleem1
1Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study analyzes heat transfer and entropy generation in a magneto non-Newtonian power-law fluid. Increased magnetic field strength enhances entropy generation, while higher power-law index reduces it near the surface.
Area of Science:
- Thermodynamics
- Fluid Dynamics
- Heat Transfer
Background:
- Non-Newtonian fluids exhibit complex flow behaviors, including shear thinning and thickening.
- Magnetohydrodynamics (MHD) influences fluid flow and heat transfer characteristics.
- Second law analysis is crucial for evaluating thermodynamic efficiency and irreversibility.
Purpose of the Study:
- To investigate the second law analysis and heat transfer in a magneto non-Newtonian power-law fluid.
- To explore the impact of an internal heat source/sink and surface porosity on fluid flow.
- To analyze entropy generation and Bejan number under various physical conditions.
Main Methods:
- Numerical simulations using the Shooting Runge-Kutta-Fehlberg Method (SRKFM).
- Development of a boundary layer flow model for an exponentially stretching surface.
- Graphical and tabular illustrations to present velocity and temperature fields.
Main Results:
- Entropy generation increases with magnetic field strength and Reynolds number.
- Entropy generation decreases with an increasing power-law index.
- Heat transfer rate is reduced by internal heat source intensity and magnetic field strength.
Conclusions:
- The study provides insights into optimizing heat transfer and minimizing irreversibility in non-Newtonian fluid systems.
- Findings are relevant for applications involving MHD, heat exchangers, and porous media.
- Control parameters significantly influence both fluid dynamics and thermal performance.
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