Loading...
Please wait, while we are loading the content...
Similar Documents
Application of the method of coordinate perturbation to unsteady duct flow
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Copyright Year | 1958 |
| Description | The method of coordinate perturbation is applied to the unsteady flow of a compressible fluid in ducts of variable cross section. Solutions, in the form of perturbation series, are obtained for unsteady flows in ducts for which the logarithmic derivative of area variation with respect to the space coordinate is a function of the 'smallness' parameter of the perturbation series. This technique is applied to the problem of the interaction of a disturbance and a shock wave in a diffuser flow. It is found that, for a special choice of the function describing the disturbance, the path of the shock wave can be expressed in closed form to first order. The method is then applied to the determination of the flow field behind a shock wave moving on a prescribed path in the x,t-plane. Perturbation series solutions for quite general paths are developed. The perturbation series solutions are compared with the more exact solutions obtained by the application of the method of characteristics. The approximate solutions are shown to be in reasonably accurate agreement with the solutions obtained by the method of characteristics. |
| File Size | 4332840 |
| Page Count | 154 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20030065117 |
| Archival Resource Key | ark:/13960/t2x39hk7c |
| Language | English |
| Publisher Date | 1958-09-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Thermodynamics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
