Abstract
Binary distillation in continuous contact equipment is an important section in the oil refinery. In order to provide information about the temperature of the phases as well as the compositions, the heat and mass transfer that are nonlinear should be solved simultaneously. In this research, the heat and mass transfer of the binary distillation in a vertical wetted wall column is solved using the Adomian Decomposition Method (ADM). To this aim, the three nonlinear equations of momentum, energy and mass transfer are solved simultaneously. The recursive relations and the Adomian polynomials are programmed in the Maple environment computer package with the accuracy digits set to 14 for the numerical calculation. Results of the ADM analysis are in agreement with the experiment data. The Effects of the Prandtl and Schmidt numbers on the temperature and the concentration distribution profiles are presented and discussed. The distribution of temperature was revealed shown to increase with an the increase of in the Prandtl number of the vapor, and distribution of while the concentration was demonstrated to decrease with the an increase in Schmidt number.
Abbreviations
- b:
-
Laplace equation variable
- Cp :
-
Mean specific heat at constant pressure [J/kg °C] or [J/kgmol °C]
- D:
-
Binary diffusion coefficient [m2/s]
- f:
-
Dimensionless stream function (ψ/ u∞υ x)
- k:
-
Thermal conductivity [J/m °C s]
- Ji :
-
Diffusive flow rate of i component [kg/m2 s] or [kgmol/m2 s]
- L:
-
Laplace transform
- N:
-
Nonlinear operator
- Ni :
-
Mass transfer rate of i component [kg/m2 s] or [kgmol/m2 s]
- Pr:
-
Prandtl number [−]
- Q:
-
Total heat transfer rate [J/m2 s]
- Re:
-
Reynolds number [−]
- qs :
-
Sensible heat transfer rate [J/m2 s]
- Sc:
-
Schmidt number [−]
- T:
-
Temperature of vapor phase [°C]
- u:
-
x-Component of vapor velocity [m/s]
- υ:
-
z-Component of vapor velocity [m/s]
- x:
-
Distance from the lower edge of the wetted-wall [m]
- z:
-
Perpendicular distance from an interface [m]
- θ:
-
Dimensionless temperature
- μ:
-
Viscosity [kg/m s]
- ν:
-
Kinematic viscosity [m2/s]
- ϕ:
-
Dimensionless concentration
- ψ:
-
Stream function [m2/s]
- ρ:
-
Vapor mean density [kg/m2]
- ω:
-
Mass fraction [−]
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Amooey, A.A., Montazeri, S. Study of transport phenomena of binary distillation via Adomian decomposition method in a vertical wetted- wall column. Heat Mass Transfer 56, 1045–1050 (2020). https://doi.org/10.1007/s00231-019-02756-1
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DOI: https://doi.org/10.1007/s00231-019-02756-1