Williams Combustion Theory

Strong detonations

Upper

Chapman-

Jouguet

point

Weak detonations

Weak leflagrations

Lower

Chapman-

Jouguet

point

Strong leflagrations

TABLE 2.1. Properties of Hugoniot Curves

Pressure

Velocity and

Propagation

Downstream

Section in

ratio

density ratios

Mach number

Mach number

Remarks

Fig. 2-5

P = (Pm/PO)

= (u,/uo)

= (PO/P,)

M o = (uo/a/,o)

M m = ( u d a e , , )

Line

umin < u < u+

Mo+ < M o < m

M,

< 1

Seldom

observed;

A-B

(Omin

> 0)

requires

special

experimental

ar-

rangement.

Point

1M,

= 1

Usually

observed

B

for waves propa-

gating in tubes.

Line

u

+

<

u

< l

Mo+ < M o < m

M, > 1

Seldom

observed;

B-C

requires

very

spe-

cial gas mixtures.

Line

p - < p < l

0 < M o < Mo-

hi, < 1

Often

observed;

D-E

p = 1 in most ex-

periments.

Point

u

= u-

M ,

= 1

Not observed.

E

(u-

> 1)

Line

-11,

> 1

Not observed; for-

E-F

bidden by consider-

ations

of

wave

structure.