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2019 A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field
Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim
J. Appl. Math. 2019: 1-19 (2019). DOI: 10.1155/2019/3679373

Abstract

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.

Citation

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Abdul-Sattar J. A. Al-Saif. Abeer Majeed Jasim. "A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field." J. Appl. Math. 2019 1 - 19, 2019. https://doi.org/10.1155/2019/3679373

Information

Received: 4 December 2018; Revised: 30 January 2019; Accepted: 5 March 2019; Published: 2019
First available in Project Euclid: 16 May 2019

zbMATH: 07132120
Digital Object Identifier: 10.1155/2019/3679373

Rights: Copyright © 2019 Hindawi

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