Phenol remediation from contaminated effluents presents a critical industrial challenge due to its acute toxicity even at trace concentrations [1-3]. Multi-walled carbon nanotubes (MWCNTs) are promising adsorbents for this purpose, given their high adsorption capacity and ease of separation [4]. This work presents a phenomenological and numerical analysis of mass transport coupled to phenol adsorption on MWCNTs (dext = 50 nm) parameterized with published experimental equilibrium data under neutral pH conditions at 298 K [1,4, 5]. The mathematical model incorporates effective pore diffusivity (De = 4.82 × 10⁻¹⁰ m²/s) derived from pore structure parameters and describes three distinct scenarios: (1) pure physical adsorption via modified Fick's Second Law, (2) kinetics incorporating 0.5-order reaction kinetics, and (3) parametric analysis of particle size (1–100 nm) and concentration sensitivity (1–5 mg/L). Numerical solutions establish a Thiele modulus of ϕ ≪ 1 across the tested range, indicating kinetically controlled mass transfer with effectiveness factor η = 1.0, and validate the theoretical dependence ϕ ∝ Cs⁻⁰·²⁵. During effluent polishing operations (reduction from 5 to 1 mg/L), relative diffusive resistance increases by 49.5%, necessitating proportional increases in contact time or adsorbent dosage. The nanoscale architecture of MWCNTs reduces diffusional limitations by approximately 10⁶ compared to macroscopic granular adsorbents, enabling significantly reduced contact times. This phenomenological analysis provides fundamental mass transport insights for optimizing phenol remediation systems using nano-adsorbents.
References
[1] Surkatti, R., Al-Zuhair, S. Microalgae cultivation for phenolic compounds removal. Environ Sci Pollut Res 25, 33936–33956 (2018). https://doi.org/10.1007/s11356-018-3450-8
[2] Abhilasha Rai, Aniket Sen, Biswajit Sarkar, Jitamanyu Chakrabarty, Bikash Kumar Mondal, Susmita Dutta; Phycoremediation of pollutants from secondary treated coke-oven wastewater using poultry litter as nutrient source: a cost-effective polishing technique. Water Sci Technol 1 November 2021; 84 (9): 2406–2421. doi: https://doi.org/10.2166/wst.2021.433
[3] Moraes, F. D. de, Figueiredo, J. S. L. de, Rossi, P. A., Venturini, F. P., & Moraes, G. (2015). Acute toxicity and sublethal effects of phenol on hematological parameters of channel catfish Ictalurus punctatus and pacu Piaractus mesopotamicus. Ecotoxicology and Environmental Contamination, 10(1), 31–36. https://doi.org/10.5132/eec.2015.01.05
[4] Abdel-Ghani, N. T., El-Chaghaby, G. A., & Helal, F. S. (2015). Individual and competitive adsorption of phenol and nickel onto multiwalled carbon nanotubes. Journal of advanced research, 6(3), 405-415. https://doi.org/10.1016/j.jare.2014.06.001
[5] Plugatyr, A., & Svishchev, I. M. (2011). Molecular diffusivity of phenol in sub-and supercritical water: application of the split-flow Taylor dispersion technique. The Journal of Physical Chemistry B, 115(11), 2555-2562. https://doi.org/10.1021/jp1107075