Nomenclature (Modeling and Simulation of Fluidized-Bed Catalytic Cracking Converters)

Heat capacity at constant pressure, kJ/kmol-K

Vector of terms that are independent of the manipulated

variable(s), consistent

Volumetric flow, m³/s

Matrix of terms independent of manipulated variable(s),

consistent

Specific enthalpy, kJ/kmol

First-order kinetic rate factor, 1 s^-1

Mass flow, kg/s

Pressure, bar

Heat flow, kW

Reaction rate, kmol/s-kg_cat, kmol/s • m^_as

Universal constant of ideal gases, bar-m³/kmol-K

Temperature, K

Vector of manipulable variables, consistent

Lyapunov function, consistent

Catalyst mass holdup, kg

Vector of states, consistent

Mole fraction, dimensionless

Greek

Letters

P

Mass density, kg/m³

(0

Mass fraction, kgcoke/kgcat

Subscripts

C

Control variable

cat

Referred to catalyst

CRC

Coke on regenerated catalyst

CSC

Coke on spent catalyst

D

Uncontrolled or dynamic variable

dp

Referred to the regenerator dense phase

flue

Referred to regenerator stack gases

rgn

Referred to the whole regenerator

Supers

scripts

i

Inlet

sp T

Set point Transpose

-1

Matrix inverse

•

Time derivative