Modeling of Cone-Shaped Pellets for Catalytic Reactors

References

• Annamalai J, Liauw MA, Luss D. 1999. Temperature patterns on a hollow cylindrical catalytic pellet. Chaos. 9:36–42. doi: 10.1063/1.166378.
   PubMed Web of Science ®Google Scholar
• Aris R. 1957. On shape factors for irregular particles-I. The steady-state problem. Diffusion and reaction. Chem Eng Sci. 6:262–268. doi: 10.1016/0009-2509(57)85028-3.
   Web of Science ®Google Scholar
• Burghardt A, Kubaczka A. 1996. Generalization of the effectiveness factor for any shape of a catalyst pellet. Chem Eng Process. 35:65–74. doi: 10.1016/0255-2701(95)04115-X.
   Web of Science ®Google Scholar
• Cho Y-S. 2023a. Modelling of batch reactors and CSTRs containing core-shell catalytic pellets with various morphologies under non-isothermal condition. J Chem Eng Jpn. 56:217299.
   Web of Science ®Google Scholar
• Cho Y-S. 2023b. Analytical solutions of reaction–diffusion phenomena by porous cylindrical pellets with finite length. Can J Chem Eng. 101:3431–3461. doi: 10.1002/cjce.24700.
   Web of Science ®Google Scholar
• Ding L-X, Liang C-L, Xu H, Wang A-L, Tong Y-X, Li G-R. 2014. Porous hollow nanorod arrays composed of alternating Pt and Pd nanocrystals with superior electrocatalytic activity and durability for methanol oxidation. Adv Mater Interf. 1:1400005.
   Web of Science ®Google Scholar
• Ebner JR, Keppel RA. 1992. Shaped oxidation catalyst structures for the production of maleic anhydride. US Patent 5,168,090, Mosanto Company.
   Google Scholar
• Fkiaras NG. 1971. Heat conduction in a cone with a ring source [MS Thesis]. Oregon State University.
   Google Scholar
• Hubble R, York APE, Dennis JS. 2019. Modelling reaction and diffusion in a wax-filled hollow cylindrical pellet of Fischer Tropsch catalyst. Chem Eng Sci. 207:958–969. doi: 10.1016/j.ces.2019.06.051.
   Web of Science ®Google Scholar
• Khan A, Nath BK, Chutia J. 2015. Conical nano-structure arrays of Platinum cathode catalyst for enhanced cell performance in PEMFC (proton exchange membrane fuel cell). Energy. 90:1769–1774. doi: 10.1016/j.energy.2015.07.002.
   Web of Science ®Google Scholar
• Li P, Xiu G, Rodrigues AE. 2019a. Modelling diffusion and reaction for inert-core catalyst in batch and fixed bed reactors. Can J Chem Eng. 97:217–225. doi: 10.1002/cjce.23189.
   Web of Science ®Google Scholar
• Li P, Yu J, Xiu G, Rodrigues AE. 2011. Perturbation chromatography with inert core adsorbent: moment solution for two-component nonlinear isotherm adsorption. Chem Eng Sci. 66:4555–4560. doi: 10.1016/j.ces.2011.06.016.
   Web of Science ®Google Scholar
• Li, Z., C. Song, Q. Li, X. Xiang, H. Yang, X. Wang, and J. Gao. 2019b. Hybrid nanostructured antireflection coating by self-assembled nanosphere lithography. Coatings. 9: 453. doi: 10.3390/coatings9070453.
   Web of Science ®Google Scholar
• Moon P, Spencer DE. 1988. “Conical coordinates (r, θ, λ)." Table 1.09 in field theory handbook, including coordinate systems, differential equations, and their solutions. 2nd ed. New York: Springer-Verlag, p. 37–40.
   Google Scholar
• Nigam SC, Maheshwari U, Mathur AK, Kunzru D. 1985. Catalyst deactivation in finite hollow cylindrical pellets. Chem Eng J. 31:39–43. doi: 10.1016/0300-9467(85)85005-X.
   Web of Science ®Google Scholar
• Noor I, Ahmad F, Alatas H, Irzaman, 2017. Simulation of heat transfer in husk furnace with cone geometry based on conical coordinate system. J Phys Conf Ser. 877: 012025. doi: 10.1088/1742-6596/877/1/012025.
   Google Scholar
• Pagis C, Meunier F, Schuurman Y, Tuel A, Dodin M, Martinez-Franco R, Farrusseng D. 2018. Demonstration of improved effectiveness factor of catalysts based on hollow single crystal zeolites. ChemCatChem. 10:4525–4529. doi: 10.1002/cctc.201801225.
   Web of Science ®Google Scholar
• Qiu Y, Zhao Y, Yang X, Li W, Wei Z, Xiao J, Leung S-F, Lin Q, Wu H, Zhang Y, et al. 2014. Three-dimensional metal/oxide nanocone arrays for high-performance electrochemical pseudocapacitors. Nanoscale. 6:3626–3631. doi: 10.1039/c3nr06675d.
   PubMed Web of Science ®Google Scholar
• Rice RG, Do D. 2012. Applied mathematics and modeling for chemical engineers. 2nd ed. Hoboken, NJ: Wiley.
   Google Scholar
• Song R, Chi H, Ma Q, Li D, Wang X, Gao W, Wang H, Wang X, Li Z, Li C. 2021. Highly efficient degradation of persistent pollutants with 3D nanocone TiO2-based photoelectrocatalysis. J Am Chem Soc. 143:13664–13674. doi: 10.1021/jacs.1c05008.
   PubMed Web of Science ®Google Scholar
• Tamirat AG, Rick J, Dubale AA, Su W-N, Hwang B-J. 2016. Using hematite for photoelectrochemical water splitting: a review of current progress and challenges. Nanoscale Horiz. 1:243–267. doi: 10.1039/c5nh00098j.
   PubMed Web of Science ®Google Scholar
• Tian J, Zhang Q, Uchaker E, Liang Z, Gao R, Qu X, Zhang S, Cao G. 2013. Constructing ZnO nanorod array photoelectrodes for highly efficient quantum dot sensitized solar cells. J Mater Chem A. 1:6770–6775. doi: 10.1039/c3ta11056g.
   Web of Science ®Google Scholar
• Vishwakarma NK, Singh AK, Hwang Y-H, Ko D-H, Kim J-O, Babu AG, Kim D-P. 2017. Integrated CO2 capture-fixation chemistry via interfacial ionic liquid catalyst in laminar gas/liquid flow. Nature Commun. 8:14676.
   PubMed Web of Science ®Google Scholar
• Wang JB, Varma A. 1978. The effectiveness factors for symmetric porous pellets with step-distribution of catalyst. Chem Eng Sci. 33:1549–1552. doi: 10.1016/0009-2509(78)85207-5.
   Web of Science ®Google Scholar
• Wang W, Qi L. 2019. Light management with patterned micro- and nanostructure arrays for photocatalysis, photovoltaics, and optoelectronic and optical devices. Adv Funct Mater. 355:1807275.
   Google Scholar
• Zadeh AS, Peters B. 2020. Secondary effectiveness factors for catalytic reactions in series: extension to slab, cylindrical, and spherical geometries. React Chem Eng. 5:2003–2008. doi: 10.1039/D0RE00242A.
   Web of Science ®Google Scholar
• Zhu H, Li Q. 2013. Visible light-driven CdSe nanotube array photocatalyst. Nanoscale Res Lett. 8:230. doi: 10.1186/1556-276X-8-230.
   PubMed Web of Science ®Google Scholar
• Zhu J, Araya SS, Cui X, Kær SK. 2022. The role of effectiveness factor on the modeling of methanol steam reforming over CuO/ZnO/Al2O3 catalyst in a multi-tubular reactor. Int J Hydrogen Energ. 47:8700–8715. doi: 10.1016/j.ijhydene.2021.12.223.
   Web of Science ®Google Scholar