are stable, while the intermediate one is unstable. The computations indicate that t:he most sensitive points in the reactor are not those of the outlet or the inlet. This fact should be used in the design of the control of the system. A possible method of determining asymptotic stability from steady-state data alone is outlined.
U U X
Y W
flow velocity volume = length of reactor = dimensionless temperature of dispersed phase = dimensionless temperature of continuous phase = =
GREEKLETTERS = holdup of dispersed phase 8 = time = density P = dimensionless time, defined by Equation 34 7 e
Nomenclature
A,
=
a%
= = = = = = = = = = = = = = = = = =
a,j b C
C d
D
D, AE
F fj fij
h H -AH -AH,*
k k*
K K‘ 1 m
= = = =
chemical species interfacial area per unit volume stoichiometric: coefficient constant defined by Equation 19 specific heat capacity concentration distribution c’onstant diameter of drop axial diffusion coefficient activation energy dimensionless group defined by Equation 10 intrinsic rate of Reaction j rate of formation of i in Reaction j heat transfer ‘Coefficient dimensionless group defined by Equation 10 heat of reaction heat of absorption reaction rate constant dimensionless reaction rate constant defined by Equation 10 mass transfer coefficient a normalizing factor defined by Equation 19 length of reactor dimensionless concentration, defined by Equation
= = = = = = = =
Peclet number dimensionless group, defined by Equation 10 dimensionless group, defined by Equation 33 dimensionless group, defined by Equation 10 constant defined by Equation 19 dimensionless distance, defined by Equation 10 temperature dimensionless variable, defined by Equation 10
10
Pe 4 r
R S S
T U
SUBSCRIPTS 1 = of phase 1 (dispersed) 2 = of phase 2 (continuous) G = computed = guessed = of species i
