Magnetohydrodynamic Three-Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

A mathematical model for magnetohydrodynamic (MHD) three-dimensional Couette flow of an incompressible Maxwell fluid is developed and analyzed theoretically. The application of transverse sinusoidal injection at the lower stationary plate and its equivalent removal by suction through the uniformly m...

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Bibliographic Details
Published in:Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-19
Main Authors: Ali, Y., Shoaib, M., Rana, M. A.
Format: Article
Language:English
Subjects:
Boundary layer
Computational fluid dynamics
Cooling
Couette flow
Deborah number
Fluid dynamics
Fluid flow
Friction
Hartmann number
Heat transfer
Incompressible flow
Magnetohydrodynamics
Mathematical models
Maxwell fluids
Non-Newtonian fluids
Parameters
Porous materials
Porous plates
Pressure effects
Reynolds number
Skin
Skin friction
Suction
Three dimensional analysis
Three dimensional flow
Velocity distribution
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Summary:A mathematical model for magnetohydrodynamic (MHD) three-dimensional Couette flow of an incompressible Maxwell fluid is developed and analyzed theoretically. The application of transverse sinusoidal injection at the lower stationary plate and its equivalent removal by suction through the uniformly moving upper plate lead to three-dimensional flow. Approximate solutions for velocity field, pressure, and skin friction are obtained. The effects of flow parameters such as Hartmann number, Reynolds number, suction/injection parameter, and the Deborah number on velocity components, skin friction factors along main flow direction and transverse direction, and pressure through parallel porous plates are discussed graphically. It is noted that Hartmann number provides a mechanism to control the skin friction component along the main flow direction.
ISSN:1024-123X
1563-5147
DOI:10.1155/2017/1859693