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A Survey of Unsteady Hypersonic Flow Problems

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h<br />

iB<br />

IB<br />

k<br />

X<br />

x crit<br />

x Y<br />

c<br />

c<br />

Lb<br />

Li'Li<br />

m<br />

m<br />

m<br />

m<br />

Y<br />

%<br />

%<br />

Idi’M!<br />

. I<br />

n<br />

%<br />

P<br />

&.a<br />

- 63 -<br />

displacement <strong>of</strong> section in plunge (flutter)<br />

non-dimensional form <strong>of</strong> I B :pSbs<br />

pitching moment <strong>of</strong> inertia <strong>of</strong> a body about its centre <strong>of</strong> gravity<br />

frequency parameter - I<br />

U<br />

convergence factor for pitching oscillations <strong>of</strong> a vehicle flying<br />

on a re-entry path defined by equation (3.12)<br />

critical value <strong>of</strong> X in equation (3.14)<br />

CL m<br />

-+-<br />

2 PSR<br />

pitching radius <strong>of</strong> gyration <strong>of</strong> B body about its oentre <strong>of</strong> gravity<br />

body length<br />

panel length - in flutter studies<br />

ratio <strong>of</strong> lift to drag<br />

see definitions <strong>of</strong> derivatives (i = 1 to 4)<br />

mass <strong>of</strong> vehicle - Appendix III<br />

mass per unit span <strong>of</strong> two-dimensional section<br />

mass <strong>of</strong> wing or cone<br />

mass/unit area Of panel<br />

free stream or flight Mach number U/s,<br />

flutter Mach number<br />

Mach number <strong>of</strong> boundary layer in approximate calculation <strong>of</strong><br />

boundary layer damping in Figs. 64 to 65.<br />

see definitions <strong>of</strong> derivatives (i = 1 to 4)<br />

I<br />

Appendix IV<br />

number <strong>of</strong> circumferential nodes in the flutter <strong>of</strong> a cylindrical<br />

shell<br />

mid-plane stress in panel (Fig. 63)<br />

local pressure .<br />

free-stream static pressure

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