Unsteady Natural Convection in a Porous Square Cavity Saturated by Nanofluid Using Buongiorno Model: Variable Permeability Effect on Homogeneous Porous Medium
DOI:
https://doi.org/10.37934/cfdl.14.7.4261Keywords:
Natural convection, anisotropic (variable) permeability, Buongiorno modelAbstract
This paper investigated numerically a natural convection in a porous cavity saturated by nanofluide. The left and right wall of the cavity are maintained at the hot-cold temperature respectively, the other walls are adiabatic. The two-phase Buongiorno model has been adopted to take account Brownian and thermophoretic diffusion in order to demonstrate the spatial distribution of the local nanoparticles concentration. After following the temporal evolution of the different structures (0<τ<5), Numerical simulations are performed to explore the effect of density buoyancy (104<Ra<106), the permeability of the homogeneous porous medium (10-5<Da<10-2), on the hydrodynamic, thermal and mass behavior. An original motivation was also introduced in our work to examine the effect of linearly variable permeability along the opposite direction of the cavity by varying the initial Darcy number from (10-5<Da<10-2) and fixing the final Darcy number Daf =10-5. The dimensionless partial differential equations are solved using the finite element method. The effects of the governing parameters on heat transfer are analyzed. Results indicate that the stationary regime is formed after the unsteady regime at dimensionless time τ = 0.3. The movement of nanofluide is strongly influenced by thermal buoyancy forces and depends on the Darcy number, heat transfer is accentuated for the homogenous medium compared to this one with variable permeability. It is found that the convective flow in a homogeneous porous medium is considerably affected by the variation of permeability and consequently the heat transfer is reduced.
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Kean, Tung Hao, Nor Azwadi Che Sidik, Yutaka Asako, Tan Lit Ken, and Siti Rahmah Aid. "Numerical study on heat transfer performance enhancement of phase change material by nanoparticles: a review." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 45, no. 1 (2018): 55-63.
Safiei, Wahaizad, Md Mustafizur Rahman, Ratnakar Kulkarni, Md Noor Ariffin, and Zetty Akhtar Abd Malek. "Thermal Conductivity and Dynamic Viscosity of Nanofluids: A Review." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 74, no. 2 (2020): 66-84. https://doi.org/10.37934/arfmts.74.2.6684
Mahammedi, Abdelkader, Houari Ameur, Younes Menni, and Driss Meddah Medjahed. "Numerical study of turbulent flows and convective heat transfer of Al2O3-water nanofluids in a circular tube." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 77, no. 2 (2021): 1-12. https://doi.org/10.37934/arfmts.77.2.112
Sinz, C. K., H. E. Woei, M. N. Khalis, and SI Ali Abbas. "Numerical study on turbulent force convective heat transfer of hybrid nanofluid, Ag/HEG in a circular channel with constant heat flux." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 24, no. 1 (2016): 1-11.
Urmi, Wajiha Tasnim, Md Mustafizur Rahman, Kumaran Kadirgama, Zetty Akhtar Abd Malek, and Wahaizad Safiei. "A Comprehensive Review on Thermal Conductivity and Viscosity of Nanofluids." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 91, no. 2 (2022): 15-40. https://doi.org/10.37934/arfmts.91.2.1540
Boutra, Abdelkader, Karim Ragui, Nabila Labsi, and Youb K. Benkahla. "Free convection enhancement within a nanofluid’filled enclosure with square heaters." International Journal of Heat and Technology 35, no. 3 (2017): 447-458. https://doi.org/10.18280/ijht.350302
Lahlou, Sara, Nabila Labsi, Youb Khaled Benkahla, Ahlem Boudiaf, and Seif-Eddine Ouyahia. "Flow of viscoplastic fluids containing hybrid nanoparticles: extended Buongiorno’s model." Journal of Non-Newtonian Fluid Mechanics 281 (2020): 104308. https://doi.org/10.1016/j.jnnfm.2020.104308
Mokhefi, Abderrahim, Mohamed Bouanini, and Mohammed Elmir. "Numerical Simulation of Laminar Flow and Heat Transfer of a Non-Newtonian Nanofluid in an Agitated Tank." International Journal of Heat and Technology 39, no. 1 (2021): 251-261. https://doi.org/10.18280/ijht.390128
Amina.Benabderrahmane, and Abdelwafi Messad.''Numerical Investigation of Natural Convective Heat Transfer and Entropy Generation inside a Closed Cavity using Nanofluid. ''Conference: The Fifth edition of the International Conference on Mechanics and Energy. ICME 2019.
Bhuiyana, A. H., Md Shahidul Alam, and M. A. Alim. "Natural convection of water-based nanofluids in a square cavity with partially heated of the bottom wall." Procedia engineering 194 (2017): 435-441. https://doi.org/10.1016/j.proeng.2017.08.168
Goudarzi, Sahar, Masih Shekaramiz, Alireza Omidvar, Ehsan Golab, Arash Karimipour, and Aliakbar Karimipour. "Nanoparticles migration due to thermophoresis and Brownian motion and its impact on Ag-MgO/Water hybrid nanofluid natural convection." Powder Technology 375 (2020): 493-503. https://doi.org/10.1016/j.powtec.2020.07.115
Aman, Sidra, Syazwani Mohd Zokri, Zulkhibri Ismail, Mohd Zuki Salleh, and Ilyas Khan. "Effect of MHD and porosity on exact solutions and flow of a hybrid Casson-nanofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 44, no. 1 (2018): 131-139.
Ali, I. R., Ammar I. Alsabery, Norhaliza Abu Bakar, and Rozaini Roslan. "Mixed Convection in a Lid-Driven Horizontal Rectangular Cavity Filled with Hybrid Nanofluid by Finite Volume Method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 93, no. 1 (2022): 110-122. https://doi.org/10.37934/arfmts.93.1.110122
Kho, Yap Bing, Rahimah Jusoh, Mohd Zuki Salleh, Mohd Hisyam Ariff, and Ioan Pop. "Homann Stagnation Point Flow and Heat Transfer of Hybrid Nanofluids Over a Permeable Radially Stretching/Shrinking Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 85, no. 1 (2021): 101-112. https://doi.org/10.37934/arfmts.85.1.101112
Urmi, Wajiha Tasnim, A. S. Shafiqah, Md Mustafizur Rahman, Kumaran Kadirgama, and Md Abdul Maleque. "Preparation methods and challenges of hybrid nanofluids: a review." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 78, no. 2 (2020): 56-66. https://doi.org/10.37934/arfmts.78.2.5666
Kamal, Mohamad Hidayad Ahmad, Anati Ali, Lim Yeou Jiann, Noraihan Afiqah Rawi, and Sharidan Shafie. "Stagnation Point Flow of a Hybrid Nanofluid Under the Gravity Modulation Effect." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 92, no. 2 (2022): 157-170. https://doi.org/10.37934/arfmts.92.2.157170
Ghalambaz, Mohammad, Ali Doostani, Ehsan Izadpanahi, and Ali J. Chamkha. "Conjugate natural convection flow of Ag–MgO/water hybrid nanofluid in a square cavity." Journal of Thermal Analysis and Calorimetry 139, no. 3 (2020): 2321-2336. https://doi.org/10.1007/s10973-019-08617-7
Sheremet, M. A., C. Revnic, and I. Pop. "Natural convective heat transfer through two entrapped triangular cavities filled with a nanofluid: Buongiorno's mathematical model." International Journal of Mechanical Sciences 133 (2017): 484-494. https://doi.org/10.1016/j.ijmecsci.2017.09.010
Motlagh, Saber Yekani, Salar Taghizadeh, and Hosseinali Soltanipour. "Natural convection heat transfer in an inclined square enclosure filled with a porous medium saturated by nanofluid using Buongiorno’s mathematical model." Advanced Powder Technology 27, no. 6 (2016): 2526-2540. https://doi.org/10.1016/j.apt.2016.09.016
Alkasasbeh, Hamzeh Taha. "Numerical solution of micropolar Casson fluid behaviour on steady MHD natural convective flow about a solid sphere." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 50, no. 1 (2018): 55-66.
Abdelkarim Bouras, Djedid Taloub , Abdelhadi Beghidja, and Zied Driss.''Laminar Natural Convection Study in a Horizontal Half- Elliptical Enclosure Using Heater on Horizontal Wall.'' Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 53, no. 1 (2019): 223-233.
Alsabery, A. I., M. A. Sheremet, A. J. Chamkha, and I. Hashim. "Conjugate natural convection of Al2O3–water nanofluid in a square cavity with a concentric solid insert using Buongiorno’s two-phase model." International Journal of Mechanical Sciences 136 (2018): 200-219. https://doi.org/10.1016/j.ijmecsci.2017.12.025
Alsabery, Ammar I., Muneer A. Ismael, Ali J. Chamkha, and Ishak Hashim. "Effect of nonhomogeneous nanofluid model on transient natural convection in a non-Darcy porous cavity containing an inner solid body." International Communications in Heat and Mass Transfer 110 (2020): 104442. https://doi.org/10.1016/j.icheatmasstransfer.2019.104442
Bouafia, Islam, Razli Mehdaoui, Syham Kadri, and Mohammed Elmir. "Conjugate natural convection in a square porous cavity filled with a nanofluid in the presence of two isothermal cylindrical sources." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 80, no. 1 (2021): 147-164. https://doi.org/10.37934/arfmts.80.1.147164
Hussein, Ahmed Kadhim, Muhaiman Alawi Mahdi, and Obai Younis. "Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 84, no. 2 (2021): 116-151. https://doi.org/10.37934/arfmts.84.2.116151
Ahmad, Rida, M. Mustafa, and S. Hina. "Buongiorno's model for fluid flow around a moving thin needle in a flowing nanofluid: A numerical study." Chinese journal of physics 55, no. 4 (2017): 1264-1274. https://doi.org/10.1016/j.cjph.2017.07.004
Salleh, Siti Nur Alwani, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. "Slip effect on mixed convection flow past a thin needle in nanofluid using Buongiorno’s model." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 59, no. 2 (2019): 243-253.
Aladdin, Nur Adilah Liyana, Norfifah Bachok, and Nur Syazana Anuar. "MHD Stagnation Point Flow in Nanofluid Over Shrinking Surface Using Buongiorno's Model: A Stability Analysis." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 76, no. 3 (2020): 12-24. https://doi.org/10.37934/arfmts.76.3.1224
Hoghoughi, Gholamreza, Mohsen Izadi, Hakan F. Oztop, and Nidal Abu-Hamdeh. "Effect of geometrical parameters on natural convection in a porous undulant-wall enclosure saturated by a nanofluid using Buongiorno's model." Journal of Molecular Liquids 255 (2018): 148-159. https://doi.org/10.1016/j.molliq.2018.01.145
Sheremet, Mikhail A., Cornelia Revnic, and Ioan Pop. "Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect." Applied Mathematics and Computation 299 (2017): 1-15. https://doi.org/10.1016/j.amc.2016.11.032
Tham, Leony, Roslinda Nazar, and Ioan Pop. "Mixed convection flow from a horizontal circular cylinder embedded in a porous medium filled by a nanofluid: Buongiorno–Darcy model." International Journal of Thermal Sciences 84 (2014): 21-33. https://doi.org/10.1016/j.ijthermalsci.2014.04.020
Zokri, Syazwani Mohd, Nur Syamilah Arifin, Abdul Rahman Mohd Kasim, Norhaslinda Zullpakkal, and Mohd Zuki Salleh. "Forced Convection of MHD Radiative Jeffrey Nanofluid Over a Moving Plate." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 1 (2021): 12-19. https://doi.org/10.37934/arfmts.87.1.1219
Dero, Sumera, Azizah Mohd Rohni, and Azizan Saaban. "MHD micropolar nanofluid flow over an exponentially stretching/shrinking surface: Triple solutions." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 56, no. 2 (2019): 165-174.
Ibrahim, Haziqatulhanis, Norazlianie Sazali, Ahmad Syahiman Mohd Shah, Mohamad Shaiful Abdul Karim, Farhana Aziz, and Wan Norharyati Wan Salleh. "A review on factors affecting heat transfer efficiency of nanofluids for application in plate heat exchanger." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 60, no. 1 (2019): 144-154.
Bakar, Shahirah Abu, Norihan Md Arifin, Fadzilah Md Ali, and Norfifah Bachok. "The effects of soret and dufour on mixed convection boundary layer flow of a porous media along a permeable surface filled with a nanofluid and radiation." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 53, no. 1 (2019): 35-46.
Douha, Mohammed, Draoui Belkacem, Kaid Noureddine, Ameur Houari, Belkacem Abdellah, Mohamed Elmir, Merabti Abdelhak, and Aissani Houcine. "Study of Laminar Naturel Convection in Partially Porous Cavity in the Presence of Nanofluids." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 79, no. 1 (2020): 91-110. https://doi.org/10.37934/arfmts.79.1.91110
Lakshmi, K. M., P. G. Siddheshwar, and D. Laroze. "Natural convection of water-copper nanoliquids confined in low-porosity cylindrical annuli." Chinese Journal of Physics 68 (2020): 121-136. https://doi.org/10.1016/j.cjph.2020.09.008
Bourantas, G. C., E. D. Skouras, V. C. Loukopoulos, and V. N. Burganos. "Heat transfer and natural convection of nanofluids in porous media." European Journal of Mechanics-B/Fluids 43 (2014): 45-56. https://doi.org/10.1016/j.euromechflu.2013.06.013
Sheremet, Mikhail Alexandrovich, and Ioan Pop. "Conjugate natural convection in a square porous cavity filled by a nanofluid using Buongiorno’s mathematical model." International Journal of Heat and Mass Transfer 79 (2014): 137-145. https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.092
Sheikhzadeh, G. A., and S. Nazari. "Numerical study of natural convection in a square cavity filled with a porous medium saturated with nanofluid." (2013): 138-146.
Senin, Nor Halawati, Nor Fadzillah Mohd Mokhtar, and Mohamad Hasan Abdul Sathar. "Ferroconvection in an Anisotropic Porous Medium with Variable Gravity." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 71, no. 2 (2020): 56-68. https://doi.org/10.37934/arfmts.71.2.5668
Rusdi, Nadia Diana Mohd, Nor Fadzillah Mohd Mokhtar, Norazak Senu, and Siti Suzilliana Putri Mohamed Isa. "Effect of Coriolis force and magnetic field on thermal convection in an anisotropic porous medium." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 56, no. 1 (2019): 20-30.
Khalid, Izzati Khalidah, Nor Fadzillah Mohd Mokhtar, and Zarina Bibi Ibrahim. "Rayleigh-Benard Convection in Nanofluids Layer saturated in a Rotating Anisotropic Porous Medium with Feedback Control and Internal Heat Source." CFD Letters 13, no. 11 (2021): 1-20. https://doi.org/10.37934/cfdl.13.11.120
Khalid, Izzati Khalidah, Nor Fadzillah Mohd Mokhtar, and Zarina Bibi Ibrahim. "Rayleigh-Benard Convection in Nanofluids Layer saturated in a Rotating Anisotropic Porous Medium with Feedback Control and Internal Heat Source." CFD Letters 13, no. 11 (2021): 1-20. https://doi.org/10.37934/cfdl.13.11.120
Bennacer, R., A. Tobbal, and H. Beji. "Convection naturelle thermosolutale dans une cavité poreuse anisotrope: formulation de Darcy-Brinkman." Rev. Energ. Ren 5 (2002): 1-21.
Degan, Gérard. Etude numérique et analytique de la convection naturelle en milieu poreux anisotrope. École Polytechnique de Montréal, 1997.
Makhloufi, Mohmed Amine Ammar. "Simulation numérique de la Convection naturelle bi-duffisuve dans une cavité poreuse." (2018).
Alloui, Z., M. Fekri, H. Beji, and P. Vasseur. "Natural convection in a horizontal binary fluid layer bounded by thin porous layers." International journal of heat and fluid flow 29, no. 4 (2008): 1154-1163. https://doi.org/10.1016/j.ijheatfluidflow.2008.03.016
Alloui, Z., R. Bennacer, H. Beji, and P. Vasseur. "Natural convection in a shallow cavity containing two superposed layers of immiscible binary liquids." Acta mechanica 203, no. 3 (2009): 223-239. https://doi.org/10.1007/s00707-008-0049-z
Safi, Safia. "Etude de la convection bidiffusive dans un milieu poreux anisotrope." (2013).
Hamid, Nur Zarifah Abdul, Nor Fadzillah Mohd Mokhtar, Norihan Md Arifin, and Mohammad Hasan Abdul Sathar. "Effect of Nonlinear Temperature Profile on Thermal Convection in a Binary Fluid Saturated an Anisotropic Porous Medium." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 56, no. 1 (2019): 43-58.
Ould-Amer, Y., and S. SLAMA. "Effet de l’angle d’inclinaison sur la convection naturelle dans une cavité poreuse bicouche." Revue de 2, no. 3 (2010): 265-273.
Chamkha, Ali J., and Muneer A. Ismael. "Natural convection in differentially heated partially porous layered cavities filled with a nanofluid." Numerical Heat Transfer, Part A: Applications 65, no. 11 (2014): 1089-1113. https://doi.org/10.1080/10407782.2013.851560
Bibi, Aneela, Hang Xu, Qiang Sun, Ioan Pop, and Qingkai Zhao. "Free convection of a hybrid nanofluid past a vertical plate embedded in a porous medium with anisotropic permeability." International Journal of Numerical Methods for Heat & Fluid Flow (2020). https://doi.org/10.1108/HFF-10-2019-0799
Alloui, Z., R. Bennacer, and P. Vasseur. "Variable permeability effect on convection in binary mixtures saturating a porous layer." Heat and mass transfer 45, no. 8 (2009): 1117-1127. https://doi.org/10.1007/s00231-009-0488-7
Al Bitar, Ahmad. "Modélisation des écoulements en milieu poreux hétérogènes 2D/3D, avec couplages surface/souterrain et densitaires." PhD diss., 2007.
Abbasian Arani, A. A., M. Mahmoodi, and S. Mazrouei Sebdani. "On the cooling process of nanofluid in a square enclosure with linear temperature distribution on left wall." Journal of Applied Fluid Mechanics 7, no. 4 (2014): 591-601.
