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Influence of MHD on Some Oscillating Motions of a Fractional Burgers' Fluid

Baghdad Science Journal

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Title Influence of MHD on Some Oscillating Motions of a Fractional Burgers' Fluid
 
Creator Journal, Baghdad Science
 
Description This paper presents a study for the influence of magnetohydrodynamic (MHD) on the oscillating flows of fractional Burgers’ fluid. The fractional calculus approach in the constitutive relationship model is introduced and a fractional Burgers’ model is built. The exact solution of the oscillating motions of a fractional Burgers’ fluid due to cosine and sine oscillations of an infinite flat plate are established with the help of integral transforms (Fourier sine and Laplace transforms). The expressions for the velocity field and the resulting shear stress that have been obtained, presented under integral and series form in terms of the generalized Mittag-Leffler function, satisfy all imposed initial and boundary conditions. Finally, the obtained solutions are graphically analyzed for variations of interesting flow parameters. While the MATHEMATICA package is used to draw the figures velocity components in the plane.
 
Publisher College of Science for Women - University of Baghdad
 
Date 2015-03-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/543
 
Source مجلة بغداد للعلوم; مجلد 12 عدد 1 (2015): issue 1; 221-237
Baghdad Science Journal; Vol 12 No 1 (2015): issue 1; 221-237
2411-7986
2078-8665
 
Language eng
 
Relation http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/543/474
 
Rights Copyright (c) 2015 Baghdad Science Journal