Abstract
An analytical technique is employed to study the heat and mass transfer properties of kerosene, water, and engine oil-based carbon nanotubes (CNTs) with single and multi-wall CNTs with the imposed Marangoni boundary conditions, coupled with radiation, heat sink/source, and chemical reaction. The dimensional flow problem is modeled into a set of PDEs. These leading PDEs are reduced to a set of nonlinear ODEs using appropriate similarities. An analytical solution is obtained for the system of ODEs. The thermal and concentration equations are solved using Kummer’s confluent hypergeometric functions by employing suitable substitution. Numerous parameters, including suction/injection, Marangoni number, inverse Darcy number, Prandtl number Pr, radiation parameter, Schmidt number, heat source sink parameter, and chemical reaction parameter ,are discussed and presented in graphical forms. The analysis revealed that more induced flows are being produced due to the increasing Marangoni convection, and as a result, the velocities of the flow also increase. With increasing radiation parameter values, the thermal or chemical boundary layer becomes thicker.
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References
Sander, J., Devoret, M.H., Hongjie, D., Andreas, T., Richard, S.E., Geerligs, L.J., Dekker, C.: Individual single-wall carbon nanotubes as quantum wires. Nature. 386(6624), 474–477 (1997)
Yu, M., Lourie, O., Dyer, M.J., Moloni, K., Kelly, T.F., Ruoff, R.S.: Strength and breaking mechanism of multi-walled carbon nanotubes under tensile load. Science. 287(5453), 637–640 (2000)
Berber, S., Young-Kyun, K., David, T.: Unusually high thermal conductivity of carbon nanotubes. Phys. Rev. Lett. 84(20), 4613–4616 (2000)
Nikolaos, K., Tagmatarchis, N., Dimitrios, T.: Current progress on the chemical modification of carbon nanotubes. Chem. Rev. 110(9), 5366–5397 (2010)
Raja, O.R., Suryanarayana, M.R.: Heat and mass transfer analysis of single walled carbon nanotubes and multi walled carbon nanotubes-water nanofluid flow over porous inclined plate with heat generation/absorption. Journal of Nanofluids. 8, 1147–1157 (2019)
Khan, W.A., Khan, Z.H., Rahi, M.: Fluid flow and heat transfer of carbon nanotubes along a flat plate with Navier slip boundary. Appl. Nanosci. 4, 633–641 (2014)
Patrice, E., Salma, H., Thierry, M.: Thermophysical properties and heat transfer performance of carbon nanotubes water-based nanofluids. J. Therm. Anal. Calorim. 127, 2075–2081 (2017) HAL open science
Yazida, M., Sidika, A.C., Yahyab, W.J.: Heat and mass transfer characteristics of carbon nanotube nanofluids: a review. Renew. Sust. Energ. Rev. 80, 914–941 (2017)
Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E., Grulke, E.A.: Anomalous thermal conductivity enhancement in nanotube suspensions. Appl. Phys. Lett. 79, 2252–2254 (2001)
Zari, I., Anum, S., Tahir, S.K.: Simulation study of Marangoni convective flow of kerosene oil based nanofluid driven by a porous surface with suction and injection. Int. Commun. Heat Mass Transfer. 105493, 127 (2021)
Rehman, A., Taza, G., Zabidin, S., Safyan, M., Hussain, F., Nisar, K.S., Poom, K.: Effect of the Marangoni convection in the unsteady thin film spray of CNT Nanofluids. PRO. 7, 392 (2019)
Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N., Martin, N.A.: Effect of radiation on thermosolutal Marangoni convection in a porous medium with chemical reaction and heat source/ sink. Phys. Fluids. 32(11), 113602 (2020)
Anum, S., Zari, I., Ilyas, K., Tahir, S.K., Asiful, H.S., Sherif, E.M.: Marangoni boundary layer flow of carbon nanotubes toward a Riga plate. Front. Phys. 7 (2015)
Lin, Y., Zheng, L., Zhang, X.: Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity. Int. J. Heat Mass Transf. 77, 708–716 (2014)
Magyari, E., Chamkha, A.J.: Exact analytical solutions for thermosolutal Marangoni convection in the presence of heat and mass generation or consumption. Heat Mass Transf. 43(9), 965–974 (2007)
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Vanitha, G.P., Mahabaleshwar, U.S., Hatami, M. (2024). Heat and Mass Transfer of Carbon Nanotubes with Marangoni Convection in the Porous Medium with the Presence of Heat Source/Sink and Chemical Reaction. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_27
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DOI: https://doi.org/10.1007/978-3-031-41420-6_27
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