A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid
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چکیده
منابع مشابه
A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid
Analytical expressions for the velocity field and the tangential stresses that are induced due to a constantly accelerating edge in an Oldroyd-B fluid have been established for all values of material constants. The solutions that have been obtained satisfy the governing differential equations and all the imposed initial and boundary conditions. These solutions reduce to those for the Maxwell, s...
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Exact and approximate expressions are established for dissipation, the power of the shear stress at the wall and the boundary layer thickness corresponding to the motion of an Oldroyd-B fluid induced by a constantly accelerating plate. The similar expressions for Maxwell, Newtonian and second grade fluids, performing the same motion, are obtained as limiting cases of our general results. The sp...
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متن کاملAccelerating Mhd Flow of a Generalized Oldroyd-b Fluid with Fractional Derivative
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 corresp...
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functions, is presented as a sum between the Newtonian solution and the corresponding nonNewtonian contribution. The solutions corresponding to the generalized Maxwell fluids, as well as the solutions for ordinary Maxwell and Oldroyd-B fluids, performing the same motion, are obtained as limiting cases of the general solutions. In the absence of side walls, namely when the distance between walls...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2007
ISSN: 0307-904X
DOI: 10.1016/j.apm.2005.11.032