Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
Abstract
:1. Introduction
2. Mathematical Modeling
3. Analytical Solutions
4. Special Cases
4.1. Case 1
4.2. Case 2
5. Parametric Study
6. Conclusions
- Momentum boundary layer thickness increases with increasing values of the parameters Gr (due to the strong buoyancy force) and K (due to the decrease in viscous force). Meanwhile, it reduces with increasing values of M (due to the strong drag force) and (due to the increase in resistance).
- An elevation in the relaxation time leads to a decrease in velocity on the plate (in terms of skin friction).
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Nomenclature
Fluid density | |
Maxwell parameter | |
Dimensionless time | |
Dynamic viscosity | |
u | Fluid velocity |
Space variable | |
Electrical conductivity | |
Coefficient of thermal expansion | |
Porosity parameter | |
Permeability parameter | |
g | Acceleration due to gravity |
T | Fluid temperature |
Free stream temperature | |
S | Shear stress |
k | Thermal conductivity |
Heat capacitance | |
Wall temperature | |
Gr | Grashof number |
M | Magnetic parameter |
K | Dimensionless porosity parameter |
Pr | Prandtl number |
s | Laplace parameter |
Laplace transform coefficient |
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Anwar, T.; Kumam, P.; Watthayu, W.; Asifa. Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow. Symmetry 2020, 12, 392. https://doi.org/10.3390/sym12030392
Anwar T, Kumam P, Watthayu W, Asifa. Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow. Symmetry. 2020; 12(3):392. https://doi.org/10.3390/sym12030392
Chicago/Turabian StyleAnwar, Talha, Poom Kumam, Wiboonsak Watthayu, and Asifa. 2020. "Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow" Symmetry 12, no. 3: 392. https://doi.org/10.3390/sym12030392
APA StyleAnwar, T., Kumam, P., Watthayu, W., & Asifa. (2020). Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow. Symmetry, 12(3), 392. https://doi.org/10.3390/sym12030392