FIRST-ORDER AND SECOND-ORDER THEORY OF SUPERSONIC FLOW PAST BODIES OF REVOLUTION,
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1949
- Accession Number
- AD0422807
Entities
People
- Milton D. Van Dyke
Organizations
- RAND Corporation