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

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

doi:10.1155/2017/1859693

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…here " " denotes derivative with respect to "y". Moreover, the velocity components (24) and (25) satisfy the continuity Equation (19) identically. Setting Equations (23)-(25) into Equations (20) and (21) to obtain…”

Section: Cross Flow Solutionmentioning

confidence: 99%

“…Though the Navier-Stokes equations can cope with the Newtonian fluids flows only but these are insufficient to incorporate the configurations of non-Newtonian fluids. Researchers [17][18][19][20][21][22] considered three-dimensional flow of non-Newtonian fluids under various physical conditions. According to the authors, knowledge Couette flow of the second-grade fluid with perpendicular sinusoidal injection/suction velocity has not yet been examined.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

et al. 2019

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This work explores the three-dimensional laminar flow of an incompressible second-grade fluid between two parallel infinite plates. The assumed suction velocity comprises a basic steady dispersal with a superimposed weak transversally fluctuating distribution. Because of variation of suction velocity in transverse direction on the wall, the problem turns out to be three-dimensional. Analytic solutions for velocity field, pressure and skin friction are presented and effects of dimensionless parameters emerging in the model are discussed. It is observed that the non-Newtonian parameter plays dynamic part to rheostat the velocity component along main flow direction.

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Section: Cross Flow Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

et al. 2019

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“…Job and Gunakala [12] studied the thermal radiation for vertical permeable plates using Galerkin's fnite element method. Also, Ali et al [13] analyzed the Couette fow of a maxwell fuid for three dimensional with periodic injection/suction. Hussain et al [14] analyzed instability of the MHD Couette fow of an electrically conducting fuid.…”

Section: Introductionmentioning

confidence: 99%

Effects of Chemical Reaction and Joule Heating on MHD Generalized Couette Flow between Two Parallel Vertical Porous Plates with Induced Magnetic Field and Newtonian Heating/Cooling

Mng’ang’a

2023

International Journal of Mathematics and Mathematical Sciences

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In this article, the effects of chemical reaction and Joule heating on MHD generalized Couette flow between two vertical porous plates with induced magnetic field and Newtonian heating/cooling have been investigated. The mathematical model used for the MHD generalized Couette flow takes into account the effect of viscous dissipation. The system of nonlinear partial differential equations governing the flow was solved numerically using the finite difference method. The resulting numerical schemes are simulated in MATLAB to obtain the profiles of the flow variables such as velocity, induced magnetic field, temperature, and concentration profiles graphically. Also, the effects of the flow parameters on the skin-friction coefficient, Nusselt number, and Sherwood number are obtained and discussed numerically through tabular forms. The findings show that an increase in the chemical reaction parameter leads to a decrease in the concentration profiles. Also, increase in the Joule heating parameter and heat generation parameter leads to an increase in the temperature profiles. Induced magnetic field profiles increase with an increase in Reynold’s number. The findings of this study are important due to its application in developing a variety of chemical technologies, including polymer manufacturing, MHD pumps, food processing, chemical catalytic reactors, astronomy, MHD flow meters, and lubrication.

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

Cited by 6 publications

References 14 publications

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

Effects of Chemical Reaction and Joule Heating on MHD Generalized Couette Flow between Two Parallel Vertical Porous Plates with Induced Magnetic Field and Newtonian Heating/Cooling

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

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