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ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
a
Gengdan Institute of Beijing University of Technology, Beijing 101301, China
b
NCPC Hebei huamin pharmaceutical Co., Ltd, Shijiazhuang 052165,China
* Corresponding Author: Email:
Frontiers in Heat and Mass Transfer 2015, 6, 1-5. https://doi.org/10.5098/hmt.6.17
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This paper presents an exact solution for the magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid due to an infinite accelerating plate. The fractional calculus approach is introduced to establish the constitutive relationship of the Oldroyd-B fluid. The solutions in terms of Fox H-function are obtained by using the Laplace transform. When N = 0 the solutions corresponds to the generalized Oldroyd-B fluids, while θ → 0 and λ → 0 describes the Maxwell fluid and the generalized second fluid, as limiting cases of our general results, respectively.Keywords
Generalized Oldroyd-B fluid; Exact solution; Laplace transform; Fox H-function.
Cite This Article
APA Style
Liu, Y., Ma, J. (2015). ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE. Frontiers in Heat and Mass Transfer, 6(1), 1–5. https://doi.org/10.5098/hmt.6.17
Vancouver Style
Liu Y, Ma J. ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE. Front Heat Mass Transf. 2015;6(1):1–5. https://doi.org/10.5098/hmt.6.17
IEEE Style
Y. Liu and J. Ma, “ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE,” Front. Heat Mass Transf., vol. 6, no. 1, pp. 1–5, 2015. https://doi.org/10.5098/hmt.6.17
Copyright © 2015 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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