A Survey of Unsteady Hypersonic Flow Problems

u’
u
i;
u
u
U
li
ui
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v
v
v
vf
w
x P
x a
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- 65 -
disturbance velocity in x-direction or in &-direction
transfomed quantity (equation (2.7))
non-dimensional value of u (equation (2.24))
horizontal component of vehicle velocity in re-entry problem
ratio of u to dpR,, the circular orbital speed at radius Ri
free-stream velocity or flight speed
u/(gR+
initial flight speed at re-entry
"iA gBi+
disturbance velocity cconponent in y-direction or in ~-direction
non-dImensiona value of v (equation (2.24))
disturbed volume of fluid in variational problem (equation (2.42))
flutter speed
downwash velocity at surface
disturbance velocity component in z-direction or in t;-direction
non-dimensional value of R (equation (2.24))
weight of vehicle
co-ordinate axes (Fig. 5)
transformed quantity (equation (2.7))
transformed quantity (equation (2.13))
nonwdised co-ordinate x/C or x/X
norsdised co-ordinate x/(nqse length)
&l,$tance,in chord lengths, that the elastic axis of a section
lies behind the leading edge
value of X at centre of pressure
distance, in chord lengths, that the c.g. of a section lies
behind then elastic axis
dimensionless amplitude of shock displacement %?h
'p amplitude of displacement + curvilinear co-ordinates
(Sig. 7 and equation (2.64))
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