The Viscous Hypersonic Slender-Body Problem

A Numerical Approach Based on a System of Composite Equations

by H. K. Cheng, Michael Shi-Yuan Chen, R. Mobley, Carolyn R. Huber

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback105 pages $30.00 $24.00 20% Web Discount

A system of equations of the parabolic type is reduced from the Navier-Stokes equations for the entire field of steady hypersonic flows of a caloric perfect gas, applicable to flow over a slender body. Using finite difference techniques, this system can be integrated for the entire field as an initial-value problem in longitudinal distance. Two difference procedures are developed for the plane and axisymmetric cases. As a model problem, the solution procedures are applied to the flow field over a flat plate upstream of the classical strong-interaction regime, and the results are discussed. This study provides a basis for assessing the various continuum models of hypersonic flows for the strong-interaction and other regimes corresponding to higher degrees of rarefaction, and for identifying their domains of applicability. The memorandum contributes to the study of critical technical areas in the design and development of hypersonic lifting vehicles.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit www.rand.org/about/principles.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.