Magnetohydrodynamic Three-Dimensional Couette Flow of a Second-Grade Fluid with Sinusoidal Injection/Suction

Rana, M. A.; Ali, Y.; Shoaib, Mohammed; Numan, Muhammad

doi:10.1134/s1810232819010119

Cited by 11 publications

(1 citation statement)

References 5 publications

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“…ere are some non-Newtonian models presenting the three-dimensional fluidic problems though a porous wall with variable suction [31][32][33][34][35]. Periodic suction has received very much attention in the field of aerodynamics [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

A Novel Design of Three‐Dimensional MHD Flow of Second‐Grade Fluid past a Porous Plate

Shoaib

Akhtar

Khan

et al. 2019

Mathematical Problems in Engineering

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In this study, a novel theoretical model for three-dimensional (3D) laminar magnetohydrodynamic (MHD) flow of a non-Newtonian second-grade fluid along a plate of semi-infinite length is developed based on slightly sinusoidal transverse suction velocity. The suction velocity involves a steady distribution with a low superimposed perpendicularly varying dispersion. The strength of the uniform magnetic field is incorporated in the normal direction to the wall. The variable suction transforms the fluidic problem into a 3D flow problem because of variable suction velocity in the normal direction to the plane wall. The proposed mathematical modeling and its dynamical analysis are prescribed for the boundary layer flow keeping the magnetic effects without taking into consideration the induced magnetic field. An analytical perturbation technique is employed for the series solutions of the system of ordinary differential equations of velocity profile and pressure. Graphical illustrations are used to analyze the behavior of different proficient parameters of interest. The magnetic parameter is responsible for accelerating the main flow velocity, while controlling the cross flow velocities.

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