Name
Title | ||
|---|---|---|
Derivation of Prandtl boundary layer equations for the incompressible Navier-Stokes equations in a curved domain. |
Abstract | ||
|---|---|---|
The proposal of this note is to derive the equations of boundary layers in the small viscosity limit for the two-dimensional incompressible Navier–Stokes equations defined in a curved bounded domain with the non-slip boundary condition. By using curvilinear coordinate system in a neighborhood of boundary, and the multi-scale analysis we deduce that the leading profiles of boundary layers of the incompressible flows in a bounded domain still satisfy the classical Prandtl equations when the viscosity goes to zero, which are the same as for the flows defined in the half space. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.aml.2014.04.005 | Applied Mathematics Letters |
Keywords | Field | DocType |
Boundary layers,Prandtl equations,Two space variables,Curved domain | Blasius boundary layer,D'Alembert's paradox,Boundary value problem,Mathematical analysis,Boundary layer thickness,Euler equations,Mathematics,Pressure-correction method,Navier–Stokes equations,Mixed boundary condition | Journal |
Volume | ISSN | Citations |
34 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Cheng-Jie Liu | 1 | 1 | 1.45 |
| Yaguang Wang | 2 | 29 | 6.70 |