Mathematical Modeling and Simulation for Production of MTBE

Nomenclature
Symbol Definition Units
A, B,
and C
Antoine’s coefficient [−]
A , B ,
and C
Ideal vapor enthalpy coefficient [−]
a Activity [−]
a
ij
a ,b , c ,
and d
Non-temperature dependent energy parameter
between components i and j
VIII
[J/mol]
enthalpy coefficient [−]
bij Temperature dependent energy parameter
between components i and j
[J/mol. k]
c Number of component [−]
Cp Specific heat of a component [kJ/kg. ْ◌ C]
Da Damkohler number ( H rref. /V) [−]
2
Ð Maxwell Stefan diffusivity [mP P/s]
D Distillate flow rate [ mol/hr]
F Feed molar flow rate [mol/hr]
f Fugacity [pa]
h Liquid phase enthalpy [J/mol]
H Vapor phase enthalpy [J/mol]
H molar holdup [ mol/hr]
I Component identification number [-]
J Stage identification number [-]
K thermodynamic equilibrium coefficient
[−]
L 1BMolar flow rate of liquid [mol/hr]
m Material balance summation [mol]
Mwi Molecular weight of component i [mol/kg]
N Interfacial mass transfer [mol/hr]
Number of components of a mixture
[−]
NC
n
Pt
Number of trays
Total pressure [pa]
[−]