Effect of magnetic field on peristaltic flow of a fourth grade fluid in a tapered asymmetric channel

This work investigates the mathematical model and solution for an unsteady MHD fourth grade fluid flow over a vertical plate in a porous medium with the effects of the magnetic field and suction/injection parameters using Homotopy Perturbation Method. The flow is considered to satisfy the constitutive equations of fourth grade fluid flow model and because of the Homotopy Perturbation Method used, only the momentum equation with initial and boundary conditions are solved as governing equations. After initializing stability test, the convergence of the governing equations are observed graphically using the results of Homotopy Perturbation Method with the new analytical method used by Yurusoy in literature and there is a perfect agreement in results. The impact of dimensionless second, third and fourth grade parameters with the effects of magnetic field and suction/injection parameters on the velocity field are displayed graphically and discussed. Increase in suction parameter decreases the momentum boundary layer thickness while injection parameter enhances velocity distribution in the boundary layer. Magnetic field reduces velocity throughout the boundary layer because the Lorentz force which acts as retarding force reduces the boundary layer thickness.

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Fully Developed Flow of Fourth Grade Fluid through the Channel with Slip Condition in the Presence of a Magnetic Field

Journal of Applied Fluid Mechanics ◽

10.18869/acadpub.jafm.68.236.24689 ◽

2016 ◽

Vol 9 (7) ◽

pp. 2239-2245 ◽

Cited By ~ 2

Author(s):

P. Ghasemi Moakher ◽

Morteza Abbasi ◽

Mehran Khaki Jamei ◽

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Keyword(s):

Magnetic Field ◽

Fourth Grade ◽

Slip Condition ◽

Fully Developed Flow ◽

Grade Fluid ◽

Fourth Grade Fluid

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Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity

Mathematical Problems in Engineering ◽

10.1155/s1024123x03308026 ◽

2003 ◽

Vol 2003 (2) ◽

pp. 47-64 ◽

Cited By ~ 9

Author(s):

Tasawar Hayat ◽

Yongqi Wang

Keyword(s):

Magnetic Field ◽

Boundary Layer ◽

Differential Equations ◽

Nonlinear Differential Equations ◽

Fourth Grade ◽

Porous Disk ◽

Grade Fluid ◽

Fourth Grade Fluid ◽

The Magnetic Field ◽

Conditions At Infinity

The governing equations for the unsteady flow of a uniformly conducting incompressible fourth-grade fluid due to noncoaxial rotations of a porous disk and the fluid at infinity are constructed. The steady flow of the fourth-grade fluid subjected to a magnetic field with suction/blowing through the disk is studied. The nonlinear ordinary differential equations resulting from the balance of momentum and mass are discretised by a finite-difference method and numerically solved by means of an iteration method in which, by a coordinate transformation, the semi-infinite physical domain is converted to a finite calculation domain. In order to solve the fourth-order nonlinear differential equations, asymptotic boundary conditions at infinity are augmented. The manner in which various material parameters affect the structure of the boundary layer is delineated. It is found that the suction through the disk and the magnetic field tend to thin the boundary layer near the disk for both the Newtonian fluid and the fourth-grade fluid, while the blowing causes a thickening of the boundary layer with the exception of the fourth-grade fluid under strong blowing. With the increase of the higher-order viscosities, the boundary layer has the tendency of thickening.

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