The Oscillatory Flow of Oldroyd-B Fluid with Magnetic Disturbance
Abstract
:1. Introduction
2. Mathematical Model
3. Numerical Discretization
4. Results and Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Symbols
∇ | gradient operator | V | viscoelastic fluid velocity |
constant density of the fluid | pressure gradient | ||
S | the extra-stress tensor | body force | |
retardation time | dynamic viscosity of the fluid | ||
order of the fractional derivative | first Rivlin–Ericksen tensor | ||
dynamic viscosity coefficient of fluid | magnetic field intensity | ||
perturbation factor | electrical conductivity of the fluid | ||
Laplace operator | k | amplitude of the pressure gradient | |
periodic of the pressure gradient | M | magnetic parameter | |
intensity of noise | W | Wiener process |
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Yue, P.; Ming, C. The Oscillatory Flow of Oldroyd-B Fluid with Magnetic Disturbance. Fractal Fract. 2022, 6, 322. https://doi.org/10.3390/fractalfract6060322
Yue P, Ming C. The Oscillatory Flow of Oldroyd-B Fluid with Magnetic Disturbance. Fractal and Fractional. 2022; 6(6):322. https://doi.org/10.3390/fractalfract6060322
Chicago/Turabian StyleYue, Pujie, and Chunying Ming. 2022. "The Oscillatory Flow of Oldroyd-B Fluid with Magnetic Disturbance" Fractal and Fractional 6, no. 6: 322. https://doi.org/10.3390/fractalfract6060322