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The effect of a first-order exothermic chemical reaction on the mixed flow in a vertical channel filled with a porous medium has been studied using the local thermal non-equilibrium model. A mathematical model including the exponential term for heat generation in the fluid phase and interphase heat transfer terms in both the fluid and solid phases was considered. The above dimensionless model has been solved numerically using the Matlab routine bvp4c for the energy equations together with an in-house developed code for the momentum equation. The existence of dual solutions is reported for certain values of the Frank-Kamenetskii number. The obtained profiles of temperature and velocity have been plotted. In addition, the ranges of existence of the dual solutions are reported.
Czasopismo
Rocznik
Tom
Strony
237--242
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- National Institute for Research and Development of Isotopic and Molecular Technologies, Donat 67-103, 400293 Cluj-Napoca, Romania
autor
- University of Chester, School of Computer and Engineering Sciences, Parkgate Road, Chester, CH1 4BJ, United Kingdom
autor
- Babes-Bolyai University, Department of Mathematics, M. Kogalniceanu 1, 400084 Cluj-Napoca, Romania
Bibliografia
- [1] Vafai, K., & Sozen, M. (1990). Analysis of energy and momentum transport for fluid flow through a porous bed. ASME Journal of Heat Transfer, 112(3), 690–699. doi: 10.1115/1.2910442
- [2] Kuznetsov, A.V., & Vafai, K. (1995). Analytical comparison and criteria for heat and mass transfer models in metal hydride packed beds. International Journal of Heat and Mass Transfer, 38(15), 2873–2884. doi: 10.1016/0017-9310(94)00331-O
- [3] Nield, D.A., & Bejan, A. (2017). Convection in Porous Media. Springer.
- [4] Kuznetsov, A.V. (1996). A perturbation solution for a non thermal equilibrium fluid flow through a three dimensional sensible storage packed bed. ASME Journal of Heat Transfer, 118(2), 508–510. doi: 10.1115/1.2825881
- [5] Kuznetsov, A.V. (1998) Thermal nonequilibrium forced convection in porous media. In Transport Phenomena in Porous Media, (pp. 103–129). Pergamon Oxford.
- [6] Rees, D.A.S., & Pop, I. (1999). Free convective stagnation-point flow in a porous medium using a thermal nonequilibrium model. International Communications in Heat and Mass Transfer, 26(7), 945–954. doi: 10.1016/S0735-1933(99)00084-6
- [7] Rees, D.A.S., & Pop, I. (2000). Vertical free convective boundary-layer flow in a porous medium using a thermal nonequilibrium model. Journal on Porous Media, 3(1), 31–44. doi: 10.1615/JPorMedia.v3.i1.30
- [8] Baytas, A.C., & Pop, I. (2002). Free convection in a square po-rous cavity using a thermal nonequilibrium model. International Journal of Thermal Sciences, 41(9) 861–870. doi: 10.1016/ S1290-0729(02)01379-0
- [9] Semenov, N.N. (1940). Thermal theory of combustion and explosion. III Theory of normal flame propagation. Progress of Physi-cal Science, 24 (4).
- [10] Lazarovici, A. Volpert, V., & Merkin, J.H. (2005). Steady states, oscillations and heat explosion in a combustion problem with convection. European Journal of Mechanics B/Fluids, 24(2), 189–203. doi: 10.1016/j.euromechflu.2004.06.007
- [11] Aung, W., & Worku, G. (1986). Developing flow and flow rever-sal in a vertical channel with asymmetric wall temperatures. ASME Journal of Heat Transfer, 108(2), 299−304. doi: 10.1115/ 1.3246919
- [12] Cimpean, D.S. (2022). Dynamics of colloidal mixture of Cu-Al2O3/water in an inclined porous channel due to mixed convection: Significance of entropy generation. Coatings, 12(9), 1347. doi: 10.3390/coatings12091347
- [13] Bratu, G. (1914). Sur les équations intégrales non linéaires. Bulletin de la Société Mathématique de France,, 42, 113−142. doi: 10.24033/bsmf.943
- [14] Pop, I., Grosan, T., & Revnic, C. (2010). Effect of heat generated by an exothermic reaction on the fully developed mixed convec-tion flow in a vertical channel. Communications in Nonlinear Science and Numerical Simulation, 15(3), 471–474. doi: 10.1016/ j.cnsns.2009.04.010
- [15] Petrusel, A., Rus, I.A., & Serban, M.A. (2021). Theoretical and numerical considerations on Bratu-type problems. Studia Univer-sitatis Babes-Bolyai Matematica, 66(1), 29–46. doi: 10.24193/ subbmath. 2021.1.03
- [16] Gentile, M., & Straughan, B. (2020). Bidispersive thermal convection with relatively large macropores. Journal of Fluid Me-chanics, 898, A14. doi: 10.1017/jfm.2020.411
- [17] Anjali, D., Reddimalla, N., & Ramana Murthy, J.V. (2024). Unsteady flow of a couple stress fluid due to sudden withdrawal of pressure gradient in a parallel plate channel. Archives of Thermodynamics, 45(3), 179–184. doi: 10.24425/ather.2024.151220
- [18] Mathews, J., & Hymavathi, T. (2024). Unsteady magnetohydro-dynamic free convection and heat transfer flow of Al2O3‒Cu/water nanofluid over a non-linear stretching sheet in a porous medium. Archives of Thermodynamics, 45(1), 165‒173. doi: 10.24425/ather.2024.150449
- [19] Jagadha, S., Madhusudhan Rao, B., Durgaprasad, P., Gopal, D., Prakash, P., Kishan, N., & Muthunagai, K. (2023). Darcy Forchheimer two-dimensional thin flow of Jeffrey nanofluid with heat generation/absorption and thermal radiation over a stretchable flat sheet. Archives of Thermodynamics, 45(2), 247-259. doi: 10.24425/ather.2024.150869
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-892c3a3a-1460-46d3-a9b3-1017cb90d962
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