๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Two-Dimensional Stability of a Viscous Fluid between Rotating Cylinders

โœ Scribed by Halima N. Ali; Isom H. Herron

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
114 KB
Volume
203
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The problem of a steady motion of a viscous incompressible fluid between two ลฝ . rotating coaxial cylinders Couette flow is considered. It is shown by operator theory that it is linearly stable with respect to two dimensional disturbances under all circumstances. The proof is based on a lemma which can be generalized to apply to other problems with a similar structure.

๐Ÿ“œ SIMILAR VOLUMES

FLOW OF A VISCOELASTIC FLUID BETWEEN TWO
FLOW OF A VISCOELASTIC FLUID BETWEEN TWO ROTATING CIRCULAR CYLINDERS SUBJECT TO SUCTION OR INJECTION
โœ G. Pontrelli; R. K. Bhatnagar ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB

The steady flow of an Oldroyd-B fluid between two porous concentric circular cylinders is studied. The equation of motion and the constitutive equations form a system of non-linear ODEs that is solved numerically, and in a few cases the numerical results are compared with a known analytical solution

Nonlinear Stability of an Electrified In
Nonlinear Stability of an Electrified Interface Supporting Surface Charges between Two Viscous Fluids
โœ Yusry O. El-Dib ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

The charged boundary between two viscous fluid media is taken to be under the influence of a vertical constant electric field producing surface charges. We illustrate the solution of the nonlinear perturbation using the method of multiple scales. In the neutral stability the relation between surface