ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE | Zendy

Yaqing Liu | Zendy; Jinyu Ma | Zendy

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ACCELERATING MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE

Author(s) -

Yaqing Liu,

Jinyu Ma

Publication year - 2015

Publication title -

frontiers in heat and mass transfer

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.404

H-Index - 18

ISSN - 2151-8629

DOI - 10.5098/hmt.6.17

Subject(s) - magnetohydrodynamics , thermal fluids , flow (mathematics) , fluid dynamics , frontier , derivative (finance) , fractional calculus , mechanics , thermal , physics , thermodynamics , political science , economics , law , nuclear physics , financial economics , quantum mechanics , plasma , thermal resistance

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 0 = N the solutions corresponds to the generalized Oldroyd-B fluids, while 0 → θ and 0 → λ describes the Maxwell fluid and the generalized second fluid, as limiting cases of our general results, respectively.

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