RETRACTED ARTICLE: Velocity and shear stress for an Oldroyd-B fluid within two cylinders
نویسندگان
چکیده
منابع مشابه
Some Exact Solutions for Oldroyd-b Fluid Due to Time Dependent Prescribed Shear Stress
The velocity field and the shear stress corresponding to motion of an Oldroyd-B fluid between two infinite coaxial circular cylinders are established by means of the Hankel transforms. The flow of the fluid is produced due to the time dependent axial shear stress applied on the boundary of the inner cylinder. The exact solutions, presented under a series form, can easily be specialized to give ...
متن کاملStarting 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 ...
متن کاملTransient Electro-osmotic Slip Flow of an Oldroyd-B Fluid with Time-fractional Caputo-Fabrizio Derivative
In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...
متن کاملRemarks on Oldroyd-b and Related Complex Fluid Models
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (Cα ∩ L1). This is a stability result, solutions select an equilibrium and converge exponentially to it. Large spatial derivatives of the initial density and stress are allowed, provided the L∞ norm of the density and stress are small enough. We prove global...
متن کاملAn Analytical and Semi-analytical Study of the Oscillating Flow of Generalized Burgers’ Fluid through a Circular Porous Medium
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: Boundary Value Problems
سال: 2016
ISSN: 1687-2770
DOI: 10.1186/s13661-016-0541-7