Starting solutions for the motion of a generalized Burgers' fluid between coaxial cylinders
نویسندگان
چکیده
منابع مشابه
Nematic between Coaxial Cylinders
The stability of the equilibrium configurations of a nematic liquid crystal confined between two coaxial cylinders is analysed when a radial electric field is applied and the flexoelectric effect is taken into account. The threshold for perturbations depending only on the radius r in the cylindrical coordinate system and strong boundary conditions is studied. A new type of orientational transit...
متن کاملNatural convection between two horizontal coaxial cylinders
The objective of our paper is to start the theoretical investigation of the most commonly used mathematical model for natural convection in a horizontal annulus. First, one shows existence of solutions for the unsteady problem. Then, for any Prandtl number and inverse relative gap width, existence and stability of a steady solution is proved, provided that the Rayleigh number is sufficiently sm...
متن کاملThe Hydrodynamic Stability of Inviscid Flow between Coaxial Cylinders.
where R1 and R2 are, respectively, the radii of the inner and the outer cylinders. The presence of viscosity inhibits the onset of instability and condition (3) must be violated by a certain determinate extent before instability can arise. The extent of this inhibition has been considered by a number of authors since G. I. Taylor first investigated the problem.1 The equations of viscous flow al...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2012
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-14