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The MHD Flows for a Heated Generalized Oldroyd-B Fluid With Fractional Derivative

[+] Author Affiliations
Yaqing Liu, Liancun Zheng, Xinxin Zhang

University of Science and Technology Beijing, Beijing, China

Fenglei Zong

Fengtai No. 2 Middle School Beijing, Beijing, China

Paper No. IHTC14-22278, pp. 383-386; 4 pages
doi:10.1115/IHTC14-22278
From:
  • 2010 14th International Heat Transfer Conference
  • 2010 14th International Heat Transfer Conference, Volume 2
  • Washington, DC, USA, August 8–13, 2010
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4937-8 | eISBN: 978-0-7918-3879-2
  • Copyright © 2010 by ASME

abstract

In this paper, we present a circular motion of magnetohydrodynamic (MHD) flow for a heated generalized Oldroyd-B fluid. The fractional calculus approach is introduced to establish the constitutive relationship of a viscoelastic fluid. The velocity and temperature fields of the flow are described by fractional partial differential equations. Exact analytical solutions of velocity and temperature fields are obtained by using Hankel transform and Laplace transform for fractional calculus. Results for ordinary viscous flow are deduced by making the fractional order of differential tend to one and zero. It is shown that the fractional constitutive relation model is more useful than the conventional model for describing the properties of viscoelastic fluid.

Copyright © 2010 by ASME

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