Untitled - Aerobib - Universidad Politécnica de Madrid

320 CHAPTER 13. COMBUSTION OF LIQUID FUELS
obtained
Taking these values into Eq. (13.67) for the temperature of the flame, it is
The evaporation constant is obtained from Eq. (13.73)
The position of the flame is given by (13.76)
T l = 3112 K. (13.77)
k = 2.26 × 10 −3 cm 2 /s. (13.78)
r l
r s
= 9.48. (13.79)
The distributions of temperature and mass fractions are given by Eqs. (13.57) and
(13.58) for the interior region and by Eqs. (13.62) and (13.63) for the exterior region
Interior region
r
r s
=
Y 1 = 1 −
12.42
13.60 − T − 0.66 ln
T ∞
(
1.89 T
T ∞
− 1.24
), (13.80)
( ( ) ) 0.9
1 T
− 0.56 . (13.81)
9.72 T ∞
Exterior region
r
r s
=
Y 3 = 3 ⎣
10.84
1 − T + 53.76 ln
T ∞
⎡(
1
43.38
(
53.76 − T
T ∞
) ) 0.38
52.76
53.76 − T
T ∞
, (13.82)
⎤
− 1⎦ . (13.83)
The distribution of Y 2 is given in the interior region by
Y 2 = 1 − Y 1 , (13.84)
and in the exterior region by
Y 2 = 1 − Y 3 . (13.85)
The distribution of T/T ∞ , Y 1 , Y 2 and Y 3 have been taken into Figs. 13.2 and 13.3.