Abstract
Separation of carbon dioxide was studied in microporous fiber (HF) membranes using the ethanol solution of PAMAM dendrimers. PAMAM dendrimers (Generations 0–4) are embedded in three membrane contactors called polyvinylidene fluoride (PVDF), polyvinyl chloride (PVC) and polypropylene (PP) separately and responsive. With higher flow rates in the dendrimer fluid, a faster chemical reaction occurs that can accelerate the transfer of carbon dioxide to the alcoholic solution. Flow rate and efficiency increase with increasing fluid flow rates. The emission rate was controlled by the distribution in the liquid section at moderate flow rates. The maximum acquisition flow is achieved at a flow rate in liquids and gases of approximately 0.5 mL / s. Empty fiber membranes can replace columns full of carbon dioxide removal from industrial packing power applications, greater connections between the shell side and the tube side with greater driving force, ease of sealing and easy retrieval, less expensive and smaller space requirement compared to other separation techniques.
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Abbreviations
- Hollow fiber mass transfer coefficient:
-
\(\begin{aligned}&Sh_L=K_L^\ast\frac{d_e}{D_L}\\&1.62\left(\frac{d_1^2}{LD}v_{absorbent\;tube}\right)^{0.33}\end{aligned}\), m/s
- Fiber diameter:
-
d1, m
- Diffusion coefficient of liquid:
-
DL, m2/s
- Inner fiber diameter:
-
de, m
- Width of the membrane module:
-
D, m
- Fiber length:
-
L, m
- Velocity of the suction tube:
-
Vabsorbent tube, m/s
- Mass transfer coefficient:
-
\(\begin{aligned}&K_L=\beta\ K_L^\ast \\& \left(\beta=\frac{J_{chem}}{J_{phy}}\right)\end{aligned}\), m/s
- Mass transfer constant of chemical absorption:
-
Jchem
- Mass transfer constant of physical diffusion:
-
Jphy
- Transfer coefficient of membrane:
-
\(\begin{aligned}&\mathrm{K}_\mathrm{m}=\mathrm{D}_\mathrm{gas-membrane} \\& \mathrm{Or} \\& \;\frac{\mathrm{D}_\mathrm{gas-shell}}{\delta \times \tau}\times{\varepsilon}\end{aligned}\), m/s
- Membrane mass transfer coefficient:
-
Dgas-membrane, m/s
- Effective diffusion coefficient inside the shell:
-
Dgas-shell, m2/s
- Porosity of the membrane:
-
ε,
- Thickness of the membrane:
-
ẟ,
- Tortuosity of the membrane:
-
τ,
- Gas mass transfer coefficient:
-
\(\begin{aligned}\mathrm{Sh}_\mathrm{g}={\mathrm{k}_\mathrm{g}}\frac{\mathrm{d}_\mathrm{e}}{\mathrm{D}_{\mathrm{gas-shell}}}=5.85(1-\varphi)\frac{\mathrm{d}_\mathrm{e}}{\mathrm{L}}\mathrm{Re}_\mathrm{g}^{0.6}\mathrm{Sc}_\mathrm{g}^{0.33}\end{aligned}\), m/s
- Outer diameter of the fiber:
-
de, m
- Packing density:
-
φ
- Length of the membrane:
-
L, m
- Sherwood number:
-
Sh,
- Reynolds number:
-
Re,
- Schmidt number:
-
Sc,
- Absorbent:
-
i,
- Reaction rate:
-
Ri,
- Diffusion coefficient:
-
Di –tube, m2/s
- Concentration of the species i:
-
Ci- tube, mol/l
- Diffusion coefficient in the membrane:
-
Dgas-membrane, m2/s
- Axial velocity:
-
Vz- shell, m/s
- Gas velocity inside the shell side:
-
Vshell, m/s
- Inner module radius:
-
r, m
- Outer fiber radius:
-
r2, m
- Inner shell radius:
-
r3, m
- Stripping efficiency of the hollow fiber membrane contractor:
-
η,
- Gas concentration of liquid phase at the outlet of the membrane module:
-
CO,l, mmol/L
- Gas concentration of liquid phase at the inlet of the membrane module:
-
Ci,l, mmol/L
- Flux of gas stripping:
-
J, Mol/m2s
- Flow volume of liquid:
-
Ql, m3/s
- Surface area of the hollow fiber membranes:
-
Ai, m2
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Acknowledgements
Authors acknowledged DST New Delhi for financial grant vide grant no. SR/S3/CE/001/2013 and Director CSIR-NEIST, Jorhat for his keen interest on the subject.
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Bharali, P., Das, I., Sarmah, H. et al. Stripping of carbon dioxide from ethanol solution of PAMAM dendrimer using hollow Fibre membrane contactor. Heat Mass Transfer 59, 299–308 (2023). https://doi.org/10.1007/s00231-022-03244-9
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DOI: https://doi.org/10.1007/s00231-022-03244-9