Numerical Study of Mixed Convection in an Isosceles Trapezoidal Cavity with Several Outlets: Application for Primary Air Draft in ASUTO Charcoal Stove — Oak Academic Publishing
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Numerical Study of Mixed Convection in an Isosceles Trapezoidal Cavity with Several Outlets: Application for Primary Air Draft in ASUTO Charcoal Stove
Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
,
Laboratoire sur l’Energie Solaire, Groupe Phénomènes de Transfert et Energétique (LES-GPTE), Faculté des Sciences, Université de Lomé, Lomé, Togo
,
Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
,
Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
1 Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
2 Laboratoire sur l’Energie Solaire, Groupe Phénomènes de Transfert et Energétique (LES-GPTE), Faculté des Sciences, Université de Lomé, Lomé, Togo
3 Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
4 Laboratoire sur l’Energie Solaire, Chair Unesco, Faculté des Sciences, Université de Lomé, Lomé, Togo
Mixed convection of heat and mass transfer in an isosceles trapezoidal cavity has been studied numerically. Constant heat flux is imposed through four outlets and the grid is insulated. The inclined walls are maintained in natural convection while the lower horizontal wall is adiabatic. These conditions reflect the air draft zone of the ASUTO charcoal stove. The governing two-di - mensional flow equations have been solved by using the finite difference method and Thomas ’s algorithm. The investigations are conducted for different values of Richardson ( R i ), Reynolds number ( R e ) and inclination angles of sidewalls. The results are presented in terms of streamlines, isotherms, moisture contours. It was found that for Reynolds number ( R e ) equal to 100, the flow pattern is strongly dependent on the inclination angle and Richardson number. Thus, for high Richardson number ( R i ) values (10, 100), the domin ance of natural convection over the flow structure decreases with the de creasing of the inclination angle of sidewalls of the cavity. For R i = 1, an optimum air draft corresponds to an inclination angle in the vicinity of 22 ° while for R i = 10 or 100 (in dominance of natural convection), the optimum inclination angle for air draft is in the vicinity of 15 ° .
KeywordsMixed ConvectionHeat and Mass TransferTrapezoidal CavityASUTO Charcoal StoveRichardson NumberSeveral Outlets
Sedighi, M. and Salarian, H. (2017) A Comprehensive Review of Technical Aspects of Biomass Cookstoves. Renewable and Sustainable Energy Reviews, 70, 656-665. https://doi.org/10.1016/j.rser.2016.11.175
Bryden, M., et al. (2005) Design Principals for Wood Burning Cookstoves. Aprovecho Research Center, Cottage Grove.
Kumar, M., Kumar, S. and Tyagi, S.K. (2013) Design, Development and Technological Advancement in the Biomass Cookstoves: A Review. Renewable and Sustainable Energy Reviews, 26, 265-285. https://doi.org/10.1016/j.rser.2013.05.010
MacCarty, N., Still, D. and Ogle, D. (2010) Fuel Use and Emissions Performance of Fifty Cookingstoves in the Laboratory and Related Benchmarks of Performance. Energy for Sustainable Development, 14, 161-171. https://doi.org/10.1016/j.esd.2010.06.002
Baldwin, S.F. (1987) Biomass Stoves: Engineering Design, Development, and Dissemination. Volunteers in Technical Assistance Arlington, VA.
Agenbroad, J., DeFoort, M., Kirkpatrick, A. and Kreutzer, C. (2011) A Simplified Model for Understanding Natural Convection Driven Biomass Cooking Stoves—Part 1: Setup and Baseline Validation. Energy for Sustainable Development, 15, 160-168. https://doi.org/10.1016/j.esd.2011.04.004
Agenbroad, J.N. (2011) A Simplified Model for Understanding Natural Convection Driven Biomass Cooking Stoves—Part 2: With Cook Piece Operation and the Dimensionless form Energy for Sustainable Development, 15, 169-175.
Saadoun, B., Salim, E., Farid, B., Omar, K., Bachir, D. and Abdelkader, F. (2019) Unsteady Mixed Convection in a Cubic Lid-Driven Cavity Partially Heated from the Bottom. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 57, 275-287.
Mourabit, M., Rouijaa, H., Semma, E.A. and Alami, M.E. (2014) Etude numérique de l’effet d’inclinaison d’une cavité en forme. de ‘T’sur la symétrie de la solution et le transfert de chaleur. Revue des Energies Renouvelables, 17, 519-527.
Kent, E.F. (2009) Numerical Analysis of Laminar Natural Convection in Isosceles Triangular Enclosures. Proceedings of the Institution of Mechanical Engineers, Part C, 223, 1157-1169. https://doi.org/10.1243/09544062JMES1122
Projahn, U., Rieger, H. and Beer, H. (1981) Numerical Analysis of Laminar Natural Convection between Concentric and Eccentric Cylinders. Numerical Heat Transfer, 4, 131-146. https://doi.org/10.1080/01495728108961783
Yalcin, H.G., Baskaya, S. and Sivrioglu, M. (2008) Numerical Analysis of Natural Convection Heat Transfer from Rectangular Shrouded Fin Arrays on a Horizontal Surface. International Communications in Heat and Mass Transfer, 35, 299-311. https://doi.org/10.1016/j.icheatmasstransfer.2007.07.009
Lam, S.W., Gani, R. and Symons, J.G. (1989) Experimental and Numerical Studies of Natural Convection in Trapezoidal Cavities. Journal of Heat Transfer, 111, 372-377. https://doi.org/10.1115/1.3250687
Boussaid, M., Mezenner, A. and Bouhadef, M. (1999) Convection naturelle de chaleur et de masse dans une cavite trapezoidale. International Journal of Thermal Sciences, 38, 363-371. https://doi.org/10.1016/S1290-0729(99)80103-3
Acharya, S. (2000) Natural Convection in Trapezoidal Cavities with Baffles Mounted on the Upper Inclined Surfaces. The impact score (IS) 2020 of Numerical Heat Transfer; Part A: Application, 37, 545-565. https://doi.org/10.1080/104077800274082
Fontana, é., da Silva, A., Mariani, V.C. and Marcondes, F. (2010) The Influence of Baffles on the Natural Convection in Trapezoidal Cavities. Numerical Heat Transfer; Part A: Applications, 58, 125-145. https://doi.org/10.1080/10407782.2010.496673
da Silva, A., Fontana, é., Mariani, V.C. and Marcondes, F. (2012) Numerical Investigation of Several Physical and Geometric Parameters in the Natural Convection into Trapezoidal Cavities. International Journal of Heat and Mass Transfer, 55, 6808-6818. https://doi.org/10.1016/j.ijheatmasstransfer.2012.06.088
Benzema, M., Benkahla, Y.K., Labsi, N., Brunier, E. and Ouyahia, S.-E. (2017) Numerical Mixed Convection Heat Transfer Analysis in a Ventilated Irregular Enclosure Crossed by Cu-Water Nanofluid. Arabian Journal for Science and Engineering, 42, 4575-4586. https://doi.org/10.1007/s13369-017-2563-6
Munshi, M., Mostafa, G., Munsi, A. and Waliullah, M. (2018) Hydrodynamic Mixed Convection in a Lid-Driven Hexagonal Cavity with Corner Heater. American Journal of Computational Mathematics, 8, 245-258. https://doi.org/10.4236/ajcm.2018.83020
Benzema, M., Benkahla, Y.K., Labsi, N., Ouyahia, S.-E. and El Ganaoui, M. (2019) Second Law Analysis of MHD Mixed Convection Heat Transfer in a Vented Irregular Cavity Filled with Ag-MgO/Water Hybrid Nanofluid. Journal of Thermal Analysis and Calorimetry, 137, 1113-1132. https://doi.org/10.1007/s10973-019-08017-x
Gogoi, B. and Baruah, D.C. (2016) Steady State Heat Transfer Modeling of Solid Fuel Biomass Stove: Part 1. Energy, 97, 283-295. https://doi.org/10.1016/j.energy.2015.12.130
Mahmoudi, A.H., Pop, I., Shahi, M. and Talebi, F. (2013) MHD Natural Convection and Entropy Generation in a Trapezoidal Enclosure Using Cu-Water Nanofluid. Computers & Fluids, 72, 46-62. https://doi.org/10.1016/j.compfluid.2012.11.014
Aydin, O. and Yang, W.-J. (2000) Mixed Convection in Cavities with a Locally Heated Lower Wall and Moving Sidewalls. Numerical Heat Transfer, Part A: Applications: An International Journal of Computation and Methodology, 37, 695-710. https://doi.org/10.1080/104077800274037