First-order and Second-order Theory of Supersonic Flow Past Bodies of Revolution
Author | : Milton D. Van Dyke |
Publisher | : |
Total Pages | : 29 |
Release | : 1949 |
ISBN-10 | : OCLC:227320841 |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Download or read book First-order and Second-order Theory of Supersonic Flow Past Bodies of Revolution written by Milton D. Van Dyke and published by . This book was released on 1949 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods are studied for imporving the existing perturbation theories of axial and inclined supersonic flow past bodies of revolution. For axial flow, a second-order solution is developed using an interation procedure based upon the linearized solution. The resulting second-order problem is reduced to an equivalent first-order problem by discovery of a particular solution. The second-order supersonic flow can then be computed with slight modification of the Karman-Moore procedure. For inclined flow, no particular solution of the second-order equation has been discovered. The second-order solution is derived for a cone, and agrees well with the exact solution. The slender-body series expansion of the second-order solution is found to cause large inaccuracies in both the axial and inclined flows. The conclusion that first-order theory predicts the inclined flow no better than slender-body theory is shown to be erroneous. Non-linearity in lift is shown to result primarily from viscous separation of the crossflow along the after portions of the body. (Author).