Abstract
A pore-array intensified tube-in-tube microchannel (PA-TMC), which is characterized by high throughput and low pressure drop, was developed as a gas–liquid contactor. The sulfite oxidation method was used to determine the oxygen efficiency (φ) and volumetric mass transfer coefficient (kLa) of PA-TMC, and the mass transfer amount per unit energy (ε) was calculated by using the pressure drop. The effects of structural and operating parameters were investigated systematically, and the two-phase flow behavior was monitored by using a charge-coupled device imaging system. The results indicated that the gas absorption efficiency and mass transfer performance of the PA-TMC were improved with increasing pore number, flow rate, and number of helical coil turns and decreasing pore size, row number, annular size, annular length, and surface tension. The φ, ε and kLa of PA-TMC could reach 31.3%, 1.73 × 10−4 mol/J, and 7.0 s−1, respectively. The Sherwood number was correlated with the investigated parameters to guide the design of PA-TMC in gas absorption and mass transfer processes.
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Abbreviations
- \(a\) :
-
Interfacial area, m2/m3
- \(A_{1}\) :
-
Cross-sectional area of annular channel, m2
- \(A_{2}\) :
-
Total area of pore array, m2
- \(c_{1}\) :
-
Oxygen volume fraction of gas phase at reactor inlet, %
- \(c_{2}\) :
-
Oxygen volume fraction of gas phase at reactor outlet, %
- \(c_{{{\text{O}}_{ 2} }}^{*}\) :
-
Concentration of oxygen at the interfacial in the solution, kmol/m3
- \(c_{{{\text{O}}_{ 2} , 0}}^{*}\) :
-
Concentration of oxygen at the interfacial in the water, kmol/m3
- \(C_{{{\text{O}}_{ 2} , {\text{in}}}}\) :
-
Concentration of oxygen in the gas at the inlet, kmol/m3
- \(C_{{{\text{O}}_{ 2} , {\text{out}}}}\) :
-
Concentration of oxygen in the gas at the outlet, kmol/m3
- \(c_{n,j}\) :
-
Mass concentration of organic substances, kg/m3
- \(c_{i}\) :
-
Molar concentration of the i ion, kmol/m3
- \(C_{i}\) :
-
Concentration of the i electrolyte, kmol/m3
- \(d\) :
-
Pore size, m
- \(d_{\text{a}}\) :
-
Annular size, m
- \(D\) :
-
Hydrodynamic diameter of the annular channel, m
- \(D_{0}\) :
-
The molecular diffusivity of oxygen in water, m2/s
- \(D_{\text{out}}\) :
-
Inner diameter of the outer tube, m
- \(D_{{{\text{O}}_{ 2} }}\) :
-
The diffusivity of oxygen in the electrolyte solution, m2/s
- \(D_{\text{in}}\) :
-
Outer diameter of the inner tube, m
- \(h_{\text{i}}\) :
-
Ion-specific parameters
- \(h_{\text{G}}\) :
-
Gas-specific parameters
- \(K_{2}\) :
-
Second-order rate constant, m3/(kmol/s)
- \(k_{\text{L}}\) :
-
Liquid-side mass transfer coefficient, m/s
- \(k_{\text{L}} a\) :
-
Volumetric mass transfer coefficient, s−1
- \(K_{n,j}\) :
-
Sechenov constant of organic substances
- \(L^{ * }\) :
-
Annular length, m
- \(m\) :
-
Helical coil turns
- \(M_{1}\) :
-
Helical coil turns per unit length
- \(n\) :
-
Pore number
- \(N\) :
-
Row number
- \(N_{{{\text{O}}_{ 2} }} a\) :
-
Absorption rate, kmol/(m3/s)
- \(N_{\text{t}}\) :
-
Mass transfer amount per unit time, mol/s
- \(P_{\text{g}}\) :
-
Pressure drop of the gas phase, Pa
- \(P_{\text{L}}\) :
-
Pressure drop of the liquid phase, Pa
- \(P_{\text{t}}\) :
-
Power consumption, W
- \(Q_{\text{in}}\) :
-
Gas flow rate at the inlet, m3/s
- \(Q_{\text{out}}\) :
-
Gas flow rate at the outlet, m3/s
- \(Q_{\text{g}}\) :
-
Gas flow rate, m3/s
- \(Q_{\text{L}}\) :
-
Liquid flow rate, m3/s
- \(T\) :
-
Temperature, K
- \(u_{\text{L}}\) :
-
Liquid-phase velocity in the annular channel, m/s
- \(u_{\text{g}}\) :
-
Gas-phase velocity in the pore array, m/s
- \(V_{\text{r}}\) :
-
Volume of the reactor, m3
- Re:
-
Reynolds number
- Sh:
-
Sherwood number
- φ :
-
Oxygen efficiency
- \(\varepsilon\) :
-
Mass transfer amount per unit energy, mol/J
- \(\mu\) :
-
Liquid-phase viscosity, Pa s
- \(\rho_{\text{g}}\) :
-
Density of gas phase, kg/m3
- \(\rho_{\text{L}}\) :
-
Density of liquid phase, kg/m3
- \(\sigma\) :
-
Surface tension of liquid phase, N/m
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Acknowledgements
This work was supported by National Key Research and Development Program (No. 2016YFD0501402-04), National Natural Science Foundation of China (Nos. 21776179, 21621004), and the Program for Changjiang Scholars and Innovative Research Team in University (No. IRT_15R46).
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**a, F., Li, W., Guo, J. et al. Gas Absorption and Mass Transfer in a Pore-Array Intensified Tube-in-Tube Microchannel. Trans. Tian** Univ. 27, 409–421 (2021). https://doi.org/10.1007/s12209-020-00248-6
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DOI: https://doi.org/10.1007/s12209-020-00248-6