NDLI: The hypersonic Mach number independence principle in the case of viscous flow

Content Provider	Springer Nature Link
Author	Kliche, D. Mundt, Ch. Hirschel, E. H.
Copyright Year	2011
Abstract	The hypersonic Mach number independence principle of Oswatitsch is important for hypersonic vehicle design. It explains why, above a certain flight Mach number (M ∞ ≈ 4−6, depending on the body shape), some aerodynamic properties become independent of the flight Mach number. For ground test facilities this means that it is sufficient for the Mach number in the test section to be high enough, that Mach number independence exists. However, the principle was derived for calorically perfect gas and inviscid flow only. In this paper a theoretical study for blunt bodies in the case of viscous flow is presented. We provide numerical results which give insight into how attached viscous flow behaves at high Mach numbers. The flow past an axisymmetric configuration is analysed by applying a coupled Euler/second-order boundary-layer method. Wall boundaries are treated by assuming an adiabatic or radiation-adiabatic wall for laminar flow. Calorically perfect or equilibrium air is accounted for. Lift, drag, and moment coefficients, and lift-to-drag ratios are given for several combinations of flight Mach number and altitude, i.e. Reynolds number. For blunt bodies considered here, which are pressure dominated, Mach number independence occurs for the adiabatic wall, but not for the radiation-adiabatic wall assumption.
Starting Page	307
Ending Page	314
Page Count	8
File Format	PDF
ISSN	09381287
Journal	Shock Waves
Volume Number	21
Issue Number	4
e-ISSN	14322153
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-04-27
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mach number independence Oswatitsch Hypersonic flow Viscous effects Wall shear-stress Acoustics Thermodynamics Engineering Thermodynamics, Heat and Mass Transfer Fluid- and Aerodynamics Engineering Fluid Dynamics Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanical Engineering

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