Abstract
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.
Highlights
Muhammad Shoaib,1,2 Rizwan Akhtar,1 Muhammad Abdul Rehman Khan,3 Muhammad Afzal Rana,4 Abdul Majeed Siddiqui,5 Zhu Zhiyu,1 and Muhammad Asif Zahoor Raja 3
A novel theoretical model for three-dimensional (3D) laminar magnetohydrodynamic (MHD) flow of a nonNewtonian second-grade fluid along a plate of semi-infinite length is developed based on slightly sinusoidal transverse suction velocity. e suction velocity involves a steady distribution with a low superimposed perpendicularly varying dispersion. e strength of the uniform magnetic field is incorporated in the normal direction to the wall. e variable suction transforms the fluidic problem into a 3D flow problem because of variable suction velocity in the normal direction to the plane wall. e 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
Gupta and Johari [26] presented the analysis of 3D magnetohydrodynamic flow across a porous plane wall, and the fluid taken into account is laminar having the power of conducting heat. e authors considered a magnetic flux in the normal direction to the plate
Summary
Gersten and Gross [1] investigated the heat transfer effects on the three-dimensional fluid flows based on main and cross flow velocity components along a porous plane wall based on the transverse sinusoidal suction velocity distribution. The effect of the magnetic field with unvarying strength is incorporated perpendicular to the free convective fluid flow which is electrically conducting through a semi-infinite plate [5]. Gupta and Johari [26] presented the analysis of 3D magnetohydrodynamic flow across a porous plane wall, and the fluid taken into account is laminar having the power of conducting heat. Greenspan and Carrier [28], Rossow [29], and Singh [30] presented their studies extensively on the magnetohydrodynamic impacts on the flow across a plane wall based on injection or suction
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
