Predicting failure of the continuum fluid equations in transitional hypersonic flows

Iain D. Boyd, Gang Chen, Graham V Candler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations


The manner in which the Navier-Stokes equations of fluid mechanics breakdown under conditions of low-density, hypersonic flow is investigated numerically. This is performed through careful and detailed comparisons of solutions obtained with continuum and Monte Carlo simulation techniques. The objective of the study is to predict conditions under which the continuum approach may be expected to fail. Both normal shock waves and bow shocks formed by flow over a sphere are considered for argon and nitrogen. It is found that a Knudsen number based on local flow conditions and gradients is a convenient and accurate criterion for indicating breakdown of the continuum flow equations. Failure of the Navier-Stokes equations in hypersonic transitional flows occurs both in the shock-front and in the region immediately adjacent to the body surface.

Original languageEnglish (US)
Title of host publicationAIAA Fluid Dynamics Conference, 1994
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - Jan 1 1994
EventAIAA Fluid Dynamics Conference, 1994 - Colorado Springs, United States
Duration: Jun 20 1994Jun 23 1994


OtherAIAA Fluid Dynamics Conference, 1994
Country/TerritoryUnited States
CityColorado Springs


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