dc.contributor.author |
M. G. Hall |
en_US |
dc.date.accessioned |
2014-10-21T15:56:34Z |
|
dc.date.available |
2014-10-21T15:56:34Z |
|
dc.date.issued |
1965 |
en_US |
dc.identifier.other |
ARC/R&M-3467 |
en_US |
dc.identifier.uri |
https://reports.aerade.cranfield.ac.uk/handle/1826.2/4046 |
|
dc.description.abstract |
A method is presented for calculating steady axially symmetric spiralling motions of an incompressible fluid at large Reynolds numbers. By making approximations of the boundary-layer type the Navier-Stokes equations are reduced essentially to a pair of non-linear parabolic equations. Initial conditions are specified on some upstream cross-section, and boundary conditions on the axis of symmetry and on some bounding surface of revolution. The method involves replacing the differential equations by sets of finite-difference equations, using first-order central differences in an implicit scheme. The calculation is by a marching technique, which proceeds step-by-step in the axial direction. For each step an iterative plan is followed. The finite-difference equations themselves are solved by straightforward matrix methods. A programme is developed for a digital computer of moderate size and examples of the application of the method are given. |
en_US |
dc.relation.ispartofseries |
Aeronautical Research Council Reports & Memoranda |
en_US |
dc.title |
A numerical method for solving the equations for a vortex core |
en_US |