Evaluation of eigenvalues of the problem of hydrodynamic stability of viscous fluid flow between two rotating cylinders at small Reynolds numbers (Q1594235)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Evaluation of eigenvalues of the problem of hydrodynamic stability of viscous fluid flow between two rotating cylinders at small Reynolds numbers |
scientific article; zbMATH DE number 1557563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of eigenvalues of the problem of hydrodynamic stability of viscous fluid flow between two rotating cylinders at small Reynolds numbers |
scientific article; zbMATH DE number 1557563 |
Statements
Evaluation of eigenvalues of the problem of hydrodynamic stability of viscous fluid flow between two rotating cylinders at small Reynolds numbers (English)
0 references
28 January 2001
0 references
The authors consider the boundary value problem which, in first-order approximation, describes the hydrodynamic stability of axially symmetric viscous incompressible flow between two rotating concentric infinitely long cylinders. The consideration is restricted to small Reynolds number. The authors give a procedure for determination of eigenvalues of the above boundary value problem, and derive an upper bound on Reynolds numbers at which the procedure converges.
0 references
rotating cylinders
0 references
series solution
0 references
convergence
0 references
Bessel function
0 references
boundary value problem
0 references
first-order approximation
0 references
hydrodynamic stability
0 references
axially symmetric viscous incompressible flow
0 references
eigenvalues
0 references
upper bound
0 references
0.9425455
0 references
0.90171033
0 references
0.89315253
0 references
0.87312335
0 references
0.8715956
0 references
0.8694513
0 references
