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

Publish Year: 1395
Type: Journal paper
Language: English
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Document National Code:

JR_JAFM-9-5_015

Index date: 23 January 2022

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

In this paper, to study the incompressible fully developed flow of a non-Newtonian fourth grade fluid in a flat channel under an externally applied magnetic field, an appropriate analysis has been performed considering the slip condition on the walls. The governing equations, Ohm’s law, continuity and momentum for this problem are reduced to a nonlinear ordinary form. The nonlinear equation with robin mixed boundary condition is solved with collocation (CM) and least square (LSM) methods. The effects of parameters such as non-Newtonian, magnetic field and slip parameters on dimensionless velocity profiles will be discussed. In the end, the results could bring us to this conclusion that collocation and least square methods can be used for solving nonlinear differential equations with robin mixed condition.

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

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

P. Ghasemi Moakher

Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

M. Abbasi

Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

M. Khaki Jamei

Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran