This work is dedicated to study numerically an inclined solar distiller subject of a moving cold wall. The cavity is heated from left side and cooled from the right one. Constant and different concentrations are imposed in the two vertical sides of the cavity, while the other walls are adiabatic and impermeable. The flow is considered laminar and caused by the interaction of the thermal energy and the chemical species diffusions. Equations of concentration, energy and momentum are formulated using vector potential-vorticity formulations in its three-dimensional form, then discretized by the finite volumes method. The Rayleigh, Prandtl, Lewis numbers and buoyancy ratio are respectively fixed at Ra=105, Pr=0.7, Le=0.85 and N=0.85. Reynolds number (Re) is varied along the study from 0 to 150. The angles for the cavity inclination under this investigation are considered to be 0°, 30°, 45°, 60° and 90°. A particular interest to the flow structure and evolution of the heat and transfer i highlight in this paper.
Published in | International Journal of Fluid Mechanics & Thermal Sciences (Volume 1, Issue 3) |
DOI | 10.11648/j.ijfmts.20150103.15 |
Page(s) | 72-82 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Lid Driven, Solar Distiller, Heat and Mass Transfer, Flow Structure
[1] | D. Gobin and R. Bennacer, Cooperating thermosolutal convection in enclosures II: Heat transfer and flow structure. International Journal of Heat and Mass Transfer 39 (1996), 2683-2697. |
[2] | J. W. Lee and J. M. Hyun, Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients. International Journal of Heat and Mass Transfer 33 (1990), 1619-1632. |
[3] | J. M. Hyun and J. W. Lee, Double-diffusive convection in a rectangle with cooperating horizontal gradients of temperature and concentration. International Journal of Heat and Mass Transfer 33 (1990), 1605-1617. |
[4] | M. M. Naim (1987), Solar desalination spirally-wound module, Alternative Energy Sources VIII, T. N. Veziroglu, Ed., Hemisphere Publishing, 571-580. |
[5] | B. Bouchekima, Bernard Gros, Ramdane Ouahes and Mostefa Diboun, Theoretical study and practical application of the capillary film solar distiller, Renewable Energy 16 (1999), 795-799. |
[6] | B. Bouchekima, Bernard Gros, RamdaneOuahes and Mostefa Diboun, Etude théorique et application pratique du distillateur solaire à film capillaire, Int. J. Therm. Sci. 39 (2000), 442–459. |
[7] | B. Bouchekima, A small solar desalination plant for the production of drinking water in remote arid areas of southern Algeria, Desalination 159 (2003), 197-204. |
[8] | L. Ben Snoussi, R. Chouikh and A. Guizani, Numerical study of the natural convection flow resulting from the combined buoyancy effects of thermal and mass diffusion in a cavity with differentially heated side walls, Desalination, vol 182 (2005), 143–150. |
[9] | K. Sampathkumar, T. V. Arjunanb, P. Pitchandia and P. Senthilkumarc, Active solar distillation-A detailed review, Renewable and Sustainable Energy Reviews Volume 14, Issue 6 (August 2010), 1503-1526. |
[10] | A. Bergeon and E. Knobloch, Natural double diffusive convection in three-dimensional enclosures, Physics of fluids 14 (2002) 3233-3252. |
[11] | I. Sezai and A. A. Mohamad, Double diffusive convection in a cubic enclosure with opposing temperature and concentration gradients. Physics of fluids 12 (2000) 2210-2223. |
[12] | A. Abidi, L. Kolsi, M. N. Borjini, H. Ben Aissia and M. J. Safi, Effect of heat and mass transfer through diffusive walls on three-dimensional double-diffusive natural convection, Numerical Heat Transfer, Part A, vol 53 (2008), 1357–1376. |
[13] | K. Ghachem, L. Kolsi, C. Mâatki, A. K Hussein, M. N Borjini, Numerical simulation of three-dimensional double diffusive free convection flow and irreversibility studies in a solar distiller, International Communication of Heat and Mass Transfer 39 (2012), 869-876. |
[14] | M. K. Moallemi, K. S. Jang, Prandtl number effects on laminar mixed convection heat transfer in a lid-driven cavity, International Journal of Heat and Mass Transfer 35 (1992), 1881–1892. |
[15] | M. A. R. Sharif, Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom, Applied Thermal Engineering 27 (2007), 1036–1042. |
[16] | K. M. Khanafer, A. M. Al-Amiri and I. Pop, Numerical simulation of unsteady mixed convection in a driven cavity using an externally sliding lid, European Journal of Mechanics - B/Fluids (2007), 669–687. |
[17] | H. F. Oztop, C. Sun and B. Yu, Conjugate-mixed convection heat transfer in a lid driven enclosure with thick bottom wall, International Communications in Heat and Mass Transfer 35 (2008), 779-785. |
[18] | M. A. Waheed, Mixed convective heat transfer in rectangular enclosures driven by a continuously moving horizontal plate, Journal of Heat and Mass Transfer 52 (2009), 5055–5063. |
[19] | V. Sivakumar, S. Sivasankaran, P. Prakash, J. Lee, Effect of heating location and size on mixed convection in lid-driven cavities, Computers & Mathematics with Applications 59 (2010), 3053–3065. |
[20] | T. S. Cheng, Characteristic of mixed convection heat transfer in a lid-driven square cavity with various Richardson and Prandtl numbers, International Journal of Thermal Science 50 (2011) 197–205. |
[21] | W. I Akand., A. R. S. Muhammad, E. S. Carlson, Mixed convection in a lid driven square cavity with an isothermally heated square blockage inside, International Journal of Heat and Mass Transfer 55 (2012), 5244–5255. |
[22] | I. Hajri, A. Omri and S. Ben Nasrallah, A numerical model for the simulation of double-diffusive natural convection in a triangular cavity using equal order and control volume based on the finite element method, Desalination 206 (2007), 579–588. |
[23] | R. Alvarado-Juárez, G. Álvarez, J. Xamán, I. Hernández-López, Numerical study of conjugate heat and mass transfer in a solar still device, Desalination 325 (2013), 84–94. |
[24] | A. A. Mohamad, R. Viskanta, Flow Structures and Heat Transfer in a Lid-Driven Cavity Filled with Liquid Gallium and Heated from Below, Experimental Thermal and Fluid Science 9 (1994), 309-319. |
[25] | N. Ouertatani, N. Ben Cheikh, B. Ben Beyaa, T. Lili, Antonio Campo, Mixed convection in a double lid-driven cubic cavity, International Journal of thermal Sciences 48 (2009), 1265–1272. |
[26] | L. Kolsi, H. F. Oztop, M. N. Borjini and K. Al-Salem, Second law analysis in a three dimensional lid-driven cavity, International Communication of Heat and Mass Transfer 38 (2011), 1376–1383. |
[27] | T. Nishimura, M. Wakamatsu, A. M. Morega, Oscillatory double diffusive convection in a rectangular enclosure with combined horizontal temperature and concentration gradients, Int. J. Heat Mass Transfer 41(1998), 1601-1611. |
[28] | A. J. Chamkha, H. Al-Naser, Hydromagnetic double-diffuse convection in a rectangular enclosure with opposing temperature and concentration gradients, Int. J. Heat Mass Transfer 45 (2002) 2465–2483. |
[29] | Kai-Long Hsiao, Heat and Mass Mixed Convection for MHD Viscoelastic Fluid Past a Stretching Sheet with Ohmic Dissipation, July 2010, Communications in Nonlinear Science and Numerical Simulation, 15 (2010) 1803–1812, ISSN: 1007-5704. |
[30] | I-Hua Lin, Kai-Long Hsiao, Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid flow with Physical Multimedia Features, American Journal of Heat and Mass Transfer, (2015) Vol. 2 No. 3 pp. 127-145 doi: 10.7726/ajhmt.2015.1009. |
APA Style
Lioua Kolsi. (2016). Heat and Mass Transfer in 3D Inclined Lid-Driven Solar Distiller. International Journal of Fluid Mechanics & Thermal Sciences, 1(3), 72-82. https://doi.org/10.11648/j.ijfmts.20150103.15
ACS Style
Lioua Kolsi. Heat and Mass Transfer in 3D Inclined Lid-Driven Solar Distiller. Int. J. Fluid Mech. Therm. Sci. 2016, 1(3), 72-82. doi: 10.11648/j.ijfmts.20150103.15
@article{10.11648/j.ijfmts.20150103.15, author = {Lioua Kolsi}, title = {Heat and Mass Transfer in 3D Inclined Lid-Driven Solar Distiller}, journal = {International Journal of Fluid Mechanics & Thermal Sciences}, volume = {1}, number = {3}, pages = {72-82}, doi = {10.11648/j.ijfmts.20150103.15}, url = {https://doi.org/10.11648/j.ijfmts.20150103.15}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20150103.15}, abstract = {This work is dedicated to study numerically an inclined solar distiller subject of a moving cold wall. The cavity is heated from left side and cooled from the right one. Constant and different concentrations are imposed in the two vertical sides of the cavity, while the other walls are adiabatic and impermeable. The flow is considered laminar and caused by the interaction of the thermal energy and the chemical species diffusions. Equations of concentration, energy and momentum are formulated using vector potential-vorticity formulations in its three-dimensional form, then discretized by the finite volumes method. The Rayleigh, Prandtl, Lewis numbers and buoyancy ratio are respectively fixed at Ra=105, Pr=0.7, Le=0.85 and N=0.85. Reynolds number (Re) is varied along the study from 0 to 150. The angles for the cavity inclination under this investigation are considered to be 0°, 30°, 45°, 60° and 90°. A particular interest to the flow structure and evolution of the heat and transfer i highlight in this paper.}, year = {2016} }
TY - JOUR T1 - Heat and Mass Transfer in 3D Inclined Lid-Driven Solar Distiller AU - Lioua Kolsi Y1 - 2016/02/26 PY - 2016 N1 - https://doi.org/10.11648/j.ijfmts.20150103.15 DO - 10.11648/j.ijfmts.20150103.15 T2 - International Journal of Fluid Mechanics & Thermal Sciences JF - International Journal of Fluid Mechanics & Thermal Sciences JO - International Journal of Fluid Mechanics & Thermal Sciences SP - 72 EP - 82 PB - Science Publishing Group SN - 2469-8113 UR - https://doi.org/10.11648/j.ijfmts.20150103.15 AB - This work is dedicated to study numerically an inclined solar distiller subject of a moving cold wall. The cavity is heated from left side and cooled from the right one. Constant and different concentrations are imposed in the two vertical sides of the cavity, while the other walls are adiabatic and impermeable. The flow is considered laminar and caused by the interaction of the thermal energy and the chemical species diffusions. Equations of concentration, energy and momentum are formulated using vector potential-vorticity formulations in its three-dimensional form, then discretized by the finite volumes method. The Rayleigh, Prandtl, Lewis numbers and buoyancy ratio are respectively fixed at Ra=105, Pr=0.7, Le=0.85 and N=0.85. Reynolds number (Re) is varied along the study from 0 to 150. The angles for the cavity inclination under this investigation are considered to be 0°, 30°, 45°, 60° and 90°. A particular interest to the flow structure and evolution of the heat and transfer i highlight in this paper. VL - 1 IS - 3 ER -