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Investigation of Flow Around Simple Bodies in Hypersonic Flow

Kubota, Toshi (1957) Investigation of Flow Around Simple Bodies in Hypersonic Flow. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20151021-164431074

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Abstract

A theoretical analysis of the flow around slender blunt-nosed bodies was made by applying the flow similarity concept to the hypersonic small- disturbance equations. The flow field around a class of bodies of the form r_b ~ x^m exhibits a certain similarity in the sense that the pressure, density and transverse velocity are described by relations of the form Q(x, r)/Q(R) = f(r/R), where R is the distance from the axis to the shock wave. This similarity holds when the Mach number is infinitely large, and when the exponent in the equation defining the body shape lies in the range 1/2 < m ≤ 1 for axially-symmetric bodies and in the range 2/3 < m ≤ 1 for two-dimensional bodies. For large but finite Mach numbers a second approximation was obtained by expanding solutions in series of powers of x^((1-m))/M_∞^ δ^2. An experimental investigation of the flow around "similar-flow" bodies of revolution was conducted at Mach number 7.7 in the GALCIT hypersonic wind tunnel. The surface pressure distributions agreed closely with the theoretical predictions, after a simplified correction was made for the boundary-layer displacement effect. The results indicated that the boundary layer interaction effect needs a further investigation.


Item Type:Report or Paper (Technical Report)
Additional Information:Hypersonic Research Project Memorandum no. 40. Army Ordnance Contract No. DA-04-495-Ord-19. Army Project No. 5B0306004 Ordnance Project No. TB3-0118. OOR Project No. 1600-PE.
Funders:
Funding AgencyGrant Number
U.S. Army Office of OrdnanceDA-04-495-Ord-19
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Other Numbering System NameOther Numbering System ID
Hypersonic Research Project Memorandum40
Record Number:CaltechAUTHORS:20151021-164431074
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20151021-164431074
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61401
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:22 Oct 2015 01:31
Last Modified:22 Oct 2015 01:31

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