A novel design of three-dimensional MHD flow of second-grade fluid past a porous plate

Muhammad Shoaib, Rizwan Akhtar, Muhammad Abdul Rehman Khan, Muhammad Afzal Rana, Abdul M. Siddiqui, Zhu Zhiyu, Muhammad Asif Zahoor Raja

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number2584397
JournalMathematical Problems in Engineering
Volume2019
DOIs
StatePublished - Jan 1 2019

Fingerprint

Porous plates
Porous Plate
Second Grade Fluid
Magnetohydrodynamic Flow
Three-dimensional Flow
Magnetohydrodynamics
Suction
Fluids
Flow velocity
Magnetic fields
Perturbation techniques
Magnetic Field
Boundary layer flow
Fluidics
Cross-flow
Ordinary differential equations
Boundary Layer Flow
Non-Newtonian Fluid
Perturbation Technique
Series Solution

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

Shoaib, Muhammad ; Akhtar, Rizwan ; Khan, Muhammad Abdul Rehman ; Rana, Muhammad Afzal ; Siddiqui, Abdul M. ; Zhiyu, Zhu ; Raja, Muhammad Asif Zahoor. / A novel design of three-dimensional MHD flow of second-grade fluid past a porous plate. In: Mathematical Problems in Engineering. 2019 ; Vol. 2019.
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A novel design of three-dimensional MHD flow of second-grade fluid past a porous plate. / Shoaib, Muhammad; Akhtar, Rizwan; Khan, Muhammad Abdul Rehman; Rana, Muhammad Afzal; Siddiqui, Abdul M.; Zhiyu, Zhu; Raja, Muhammad Asif Zahoor.

In: Mathematical Problems in Engineering, Vol. 2019, 2584397, 01.01.2019.

Research output: Contribution to journalArticle

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