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High-Reynolds number boundary-layer shock-wave interaction in transonic flow

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Advances in Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 148))

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Abbreviations

a:

speed of sound

c:

airfoil chord

CD :

drag coefficient

CL :

lift coefficient

CM :

pitching moment

cp:

pressure coefficient

H:

shape factor, Δ*/ θ

\(\bar k\) :

turbulent kinetic energy, Fig. 18

Ls :

interaction length, Fig. 7

M:

Mach number

P:

probability of ū ≤ 0

\(\bar Pr\) :

shear stress production, Fig. 18

p:

static pressure

p*:

critical pressure corresponding to M = 1.0

q:

dynamic pressure

qm :

flow rate, Fig. 14

Re,Re:

Reynolds number based on chord

Rδ*,Reδ*:

local Reynolds number based on Δ*

T:

Temperature

ū, \(\bar v\) :

components of mean velocity in x and y, resprectively

ūm :

maximum reversed velocity, Fig. 15

x, y:

rectangular coordinates

x/c:

non-dimensional chord

α:

angle of attack

Δ:

boundary layer thickness

Δ*:

displacement thickness

η:

0 ≤ η ≤ 1.0 for 0.5 ≤ (ū−ūm)/(ūe−ūm) ≤ 0.95

Θ:

momentum thickness

vt :

eddy viscosity term

ϱ:

density

\(\bar \tau\) :

turbulent shear stress

\(\left. {\begin{array}{*{20}c}0 \\1 \\\end{array} } \right\}\) :

initial conditions upstream of shock

∞:

free stream conditions

B:

boundary layer

e:

edge of boundary layer

i:

stagnation conditions

i:

incompressible flow

′:

denotes fluctuating quantities

References

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Authors and Affiliations

  1. Chatillon

    M. Sirieix & J. Délery

  2. Göttingen

    E. Stanewsky

Authors
  1. M. Sirieix
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  2. J. Délery
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  3. E. Stanewsky
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Egon Krause

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© 1981 Springer-Verlag

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Sirieix, M., Délery, J., Stanewsky, E. (1981). High-Reynolds number boundary-layer shock-wave interaction in transonic flow. In: Krause, E. (eds) Advances in Fluid Mechanics. Lecture Notes in Physics, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021336

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  • DOI: https://doi.org/10.1007/BFb0021336

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