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Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
Published on: October 5, 2018
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Thermomechanical Fractional Model of TEMHD Rotational Flow.
F Hamza1, A Abd El-Latief1, W Khatan2
1Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt.
Plos One
|January 4, 2017
Summary
This study models unsteady rotational flow of Xanthan gum (XG) between cylinders under a magnetic field. Fractional parameters significantly influence temperature, velocity, stress, and electric current distributions.
Area of Science:
- Fluid dynamics
- Rheology
- Magnetohydrodynamics
Background:
- Xanthan gum (XG) exhibits complex rheological behavior.
- Fractional calculus offers advanced modeling for viscoelastic materials.
- Transverse magnetic fields impact conductive fluid flow.
Purpose of the Study:
- To develop a fractional mathematical model for unsteady rotational flow of XG.
- To analyze the influence of fractional parameters (α and β) on thermomechanical effects.
- To investigate the impact of cylinder rotation and fractional parameters on field distributions.
Main Methods:
- Development of a fractional mathematical model.
- Application of the Laplace transform for numerical solutions.
- Graphical analysis of field distributions (temperature, velocity, stress, electric current).
Main Results:
- Fractional parameters α and β significantly affect temperature, velocity, stress, and electric current.
- Cylinder rotation influences field distributions, especially at different time scales.
- The model captures the complex interplay between rheology, magnetic fields, and fractional dynamics.
Conclusions:
- Fractional calculus provides a robust framework for modeling XG flow under magnetic fields.
- The study elucidates the critical role of fractional parameters in governing fluid behavior.
- Findings are relevant for applications involving non-Newtonian fluids in electromagnetic environments.
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