Invariant Imbedding and Rarefied Gas Dynamics.

Jerry Aroesty, Richard Ernest Bellman, Robert E. Kalaba, S. Ueno

ResearchPublished 1963

An application of the techniques of invariant imbedding to the study of rarefied gas flows. The problem of linearized Couette flow is investigated, and it is shown how the assumption of the Krook scattering model results in a formulation which is similar to that obtained in radiative transfer for conservative isotropic scattering in a plane-parallel atmosphere. By a simple enumeration of physical processes, the nonlinear integral-differential equation governing the reflection function is obtained, and a suitable transformation is shown to render this equation amenable to numerical computation. 18 pp.

Order a Print Copy

Format
Paperback
Page count
18 pages
List Price
$20.00
Buy link
Add to Cart

Document Details

  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1963
  • Print Format: Paperback
  • Paperback Pages: 18
  • Paperback Price: $20.00
  • Document Number: RM-3497-ARPA

Citation

RAND Style Manual
Aroesty, Jerry, Richard Ernest Bellman, Robert E. Kalaba, and S. Ueno, Invariant Imbedding and Rarefied Gas Dynamics. RAND Corporation, RM-3497-ARPA, 1963. As of September 19, 2024: https://www.rand.org/pubs/research_memoranda/RM3497.html
Chicago Manual of Style
Aroesty, Jerry, Richard Ernest Bellman, Robert E. Kalaba, and S. Ueno, Invariant Imbedding and Rarefied Gas Dynamics. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3497.html. Also available in print form.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND 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.