A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field

In this paper, the magneto hydrodynamic (MHD) squeezing flow of a non-Newtonian, namely, Casson, fluid between parallel plates is studied. The suitable one of similarity transformation conversion laws is proposed to obtain the governing MHD flow nonlinear ordinary differential equation. The resultin...

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Bibliographic Details
Published in:Journal of applied mathematics 2019, Vol.2019 (2019), p.1-19
Main Authors: Al-Saif, Abdul-Sattar J., Jasim, Abeer Majeed
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Compressing
Computational fluid dynamics
Convergence
Differential equations
Laws, regulations and rules
Magnetic fields
Magnetohydrodynamics
Nonlinear differential equations
Ordinary differential equations
Parallel plates
Parameters
Physical properties
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Summary:In this paper, the magneto hydrodynamic (MHD) squeezing flow of a non-Newtonian, namely, Casson, fluid between parallel plates is studied. The suitable one of similarity transformation conversion laws is proposed to obtain the governing MHD flow nonlinear ordinary differential equation. The resulting equation has been solved by a novel algorithm. Comparisons between the results of the novel algorithm technique and other analytical techniques and one numerical Range-Kutta fourth-order algorithm are provided. The results are found to be in excellent agreement. Also, a novel convergence proof of the proposed algorithm based on properties of convergent series is introduced. Flow behavior under the changing involved physical parameters such as squeeze number, Casson fluid parameter, and magnetic number is discussed and explained in detail with help of tables and graphs.
ISSN:1110-757X
1687-0042
DOI:10.1155/2019/3679373