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Bounds for turbulent shear flow
| Content Provider | Scilit |
|---|---|
| Author | Busse, F. H. |
| Copyright Year | 1970 |
| Description | Bounds on the transport of momentum in turbulent shear flow are derived by variational methods. In particular, variational problems for the turbulent regimes of plane Couette flow, channel flow, and pipe flow are considered. The Euler equations resemble the basic Navier–Stokes equations of motion in many respects and may serve as model equations for turbulence. Moreover, the comparison of the upper bound with the experimental values of turbulent momentum transport shows a rather close similarity. The same fact holds with respect to other properties when the observed turbulent flow is compared with the structure of the extremalizing solution of the variational problem. It is suggested that the instability of the sublayer adjacent to the walls is responsible for the tendency of the physically realized turbulent flow to approach the properties of the extremalizing vector field. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0FBE2D21B8755E4D001E8651F42ECEBC/S0022112070000599a.pdf/div-class-title-bounds-for-turbulent-shear-flow-div.pdf |
| Ending Page | 240 |
| Page Count | 22 |
| Starting Page | 219 |
| ISSN | 00221120 |
| e-ISSN | 14697645 |
| DOI | 10.1017/s0022112070000599 |
| Journal | Journal of Fluid Mechanics |
| Issue Number | 1 |
| Volume Number | 41 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1970-03-26 |
| Access Restriction | Open |
| Subject Keyword | Journal of Fluid Mechanics Fluids and Plasmas Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
