On the oscillating motion of an Oldroyd-B fluid between two infinite circular cylinders
نویسندگان
چکیده
منابع مشابه
Starting Flow of an Oldroyd-b Fluid between Rotating Co-axial Cylinders
Analytical solutions corresponding to the starting flow of an Oldroyd-B fluid between rotating cylinders are established. If the radius of the inner cylinder tends to zero the flow within a circular cylinder is obtained. The well-known solutions for a Navier-Stokes fluid, as well as those corresponding to a Maxwell fluid and to a second grade one, appear as limiting cases of our solutions. The ...
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In this paper we establish some new exact solutions regarding to the unsteady flow of a generalized Oldroyd-B fluid produced by a suddenly moved plate between two side walls perpendicular to the plate. The governing equation has been obtained through fractional calculus approach. Fourier sine transform and discrete Laplace transform have been used to obtained exact solutions. The solution of ve...
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This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient tec...
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The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to t...
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Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral trans...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.02.002