DOI: https://doi.org/10.14710/ijred.2023.53277

Numerical assessment of meshless method for studying nanofluid natural convection in a corrugated wall square cavity

1LPTPME Laboratory, Faculty of Sciences, Mohammed 1St University, Oujda, 60000, Morocco

2Higher School of Technologie of Oujda, Mohammed 1St University, Oujda, 60000, Morocco

3Multidisciplinary Faculty of Nador, Mohammed 1St University, Nador, Morocco

Received: 27 Mar 2023; Revised: 2 Jul 2023; Accepted: 27 Jul 2023; Available online: 2 Aug 2023; Published: 1 Sep 2023.
Editor(s): H Hadiyanto
Open Access Copyright (c) 2023 The Author(s). Published by Centre of Biomass and Renewable Energy (CBIORE)
Creative Commons License This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Citation Format:
Abstract

This study aims to investigate the impact of various factors, such as wall shape, Rayleigh number, and volume fraction of nanoparticles, on natural convection in a square cavity that is filled with a mixture of Al2O3 solid particles and liquid water. The research employs numerical simulations based on the radial basis function meshless method and the artificial compressibility technique. The results of the study showed that the temperature distribution in the cavity was mostly uniform, except in the vicinity of the hot wall, while the flow was primarily dominated by convection as the Rayleigh number increased. Furthermore, the heat transfer rate increased with the volume fraction of nanoparticles, indicating the significance of nanoparticles in improving the thermal performance of the system.  Additionally, the study found that the average Nusselt number, which characterizes the heat transfer efficiency, was highest when the cavity had a wavy wall. For single and double wavy walls, there were respective enhancements of 32% and 6% compared to a regular wall. Additionally, the Nusselt number increased as the volume fraction of nanoparticles, indicating a significant influence of nanoparticle concentration and wall geometry on the fluid flow and heat transfer characteristics in the square cavity. Consequently, this study's outcomes provide crucial insights into designing and optimizing thermal management systems, particularly those utilizing nanofluids.

Fulltext View|Download
Keywords: Natural convection; Nanofluid; Square cavity; Corrugated wall; Meshless method; Radial basis function

Article Metrics:

Article Info
Section: Original Research Article
Language : EN
Recent articles
Computational prediction of green fuels from crude palm oil in fluid catalytic cracking riser Enhancing transient stability and dynamic response of wind-penetrated power systems through PSS and STATCOM cooperation Enhancing the performance of water-based PVT collectors with nano-PCM and twisted absorber tubes More recent articles
Most cited articles
Microgrids for rural schools: An energy-education accord to curb societal challenges for sustainable rural developments Phase Change Material on Augmentation of Fresh Water Production Using Pyramid Solar Still Evaluation of Physico-Mechanical-Combustion Characteristics of Fuel Briquettes made from blends of Areca Nut Husk, Simarouba Seed Shell and Black Liquor Incorporating Root Crops under Agro-Forestry as the Newly Potential Source of Food, Feed and Renewable Energy Techno-economic Analysis of a Wind-Diesel Hybrid Power System in the South Algeria More cited articles
  1. Aghakhani, S., Pordanjani, A. H., Karimipour, A., Abdollahi, A., &Afrand, M. (2018). Numerical investigation of heat transfer in a power-law non-newtonian fluid in a C-shaped cavity with magnetic field effect using finite difference lattice Boltzmann method. Computers & Fluids, 176, 51–67. https://doi.org/10.1016/j.compfluid.2018.09.012
  2. Al Nuwairan M., Chaabelasri E. (2023), Numerical Assessment of Nanofluid Natural Convection Using Local RBF Method Coupled with an Artificial Compressibility Model. Computer Modeling in Engineering & Sciences, 135, 1526-1506. https://doi.org/10.32604/cmes.2022.022649
  3. Alqaed S., Mustafa J., Sharifpur M., (2022) Numerical investigation and optimization of natural convection and entropy generation of alumina/H2O nanofluid in a rectangular cavity in the presence of a magnetic field with artificial neural networks, Engineering Analysis with Boundary Elements, 140, 507-518, https://doi.org/10.1016/j.enganabound.2022.04.034
  4. Aminossadati, S. M., &Ghasemi, B. (2009). Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure. European Journal of Mechanics. B, Fluids, 28(5), 630–640. https://doi.org/10.1016/j.euromechflu.2009.05.006
  5. Bairi, A., Zarco-Pernia, E. & Garcia de Maria, J.M. (2014), A review on natural convection in enclosures for engineering applications. The particular case of parallelogrammic diode cavity. Applied Thermal Engineering, 63, pp. 304–322. https://doi.org/10.1016/j.applthermaleng.2013.10.065
  6. Basak, T., Chamkha, A. J. (2012). Heatline analysis on natural convection for nanofluids confined within square cavities with various thermal boundary conditions. International Journal of Heat and Mass Transfer, 55(21–22),5526–5543. https://doi.org/10.1016/j.ijheatmasstransfer.2012.05.025
  7. Bayona, V., Moscoso, M., &Kindelan, M. (2011). Optimal constant shape parameter for multiquadric based RBF-FD method. Journal of Computational Physics, 230(19), 7384–7399. https://doi.org/10.1016/j.jcp.2011.06.005
  8. Bejan, A. (2013). Convection heat transfer. John wiley& sons. https://onlinelibrary.wiley.com/doi/book/10.1002/9781118671627
  9. Brinkman, H. C. (1952). The viscosity of concentrated suspensions and solution. The Journal of Chemical Physics, 20, 571–581. https://doi.org/10.1063/1.1700493
  10. Chaabelasri E., Jeyar M., Borthiwick A.G.L. (2019), Explicit radial basis function collocation method for computing shallow water flows Procedia Computer Science. 148, 361-370. https://doi.org/10.1016/j.procs.2019.01.044
  11. Chorin, A. (1997). A numerical method for solving incompressible viscous flow problems. Journal of Computational Physics, 135(2), 118–125. https://doi.org/10.1006/jcph.1997.5716
  12. Das, D., Roy, M. &Basak, T. (2017), Studies on natural convection within enclosure of various (non-square) shapes: A review. International Journal of Heat and Mass Transfer, 106, pp. 356–406
  13. Fasshauer, G. E., & Zhang, J. G. (2007). On choosing “optimal” shape parameters for RBF approximation. Numerical Algorithms, 45(1–4), 345–368. https://doi.org/10.1007/s11075-007-9072-8
  14. Hu YP., Wang FJ, Zhang YC., Li YR., Li MH. (2022), Oscillatory natural convection of Al2O3-water nanofluid near its density maximum in a narrow horizontal annulus, International Communications in Heat and Mass Transfer. 136, 106207, https://doi.org/10.1016/j.icheatmasstransfer.2022.106207
  15. Jeyar, M., Chaabelsri, E., Bensaad, M., &Achemlal, D. (2022). A meshless numerical method based on rbf with artificial compressibility to simulate natural heat convection in enclosed cavities. JP Journal of Heat and Mass Transfer, 28, 15–34. https://doi.org/10.17654/0973576322031
  16. Kadhim, H. T., Al-Manea, A., Al-Shamani, A. N., &Yusaf, T. (2022). Numerical analysis of hybrid nanofluid natural convection in a wavy walled porous enclosure: Local thermal non-equilibrium model. International Journal of Thermofluids, 15(100190), 100190. https://doi.org/10.1016/j.ijft.2022.100190
  17. Kansa, E. J. (1990). Multiquadrics-A scattered data approximation scheme with applications to computational fluid-dynamics-I surface approximations and partial derivative estimates. Computers & Mathematics with Applications, 19(8–9), 127–145. https://doi.org/10.1016/0898-1221(90)90270-T
  18. Keshtkar, M. M., &Talebizadehsardari, P. (2018). Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM. Sadhana, 43(4). https://doi.org/10.1007/s12046-018-0854-6
  19. Khanafer, K., Vafai, K., & Lightstone, M. (2003). Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. International Journal of Heat and Mass Transfer, 46(19), 3639–3653. https://doi.org/10.1016/s0017-9310(03)00156-x
  20. Liu, C.-S., & Liu, D. (2018). Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional. Applied Mathematics Letters, 86, 157–165. https://doi.org/10.1016/j.aml.2018.06.031
  21. Luo, K., Ai, Q., Yi, H.-L., & Tan, H.-P. (2015). Coupled lattice Boltzmann and meshless simulation of natural convection in the presence of volumetric radiation. Journal of Heat Transfer, 137(11), 111504. https://doi.org/10.1115/1.4030904
  22. Mahmoodi, M., &Sebdani, S. M. (2012). Natural convection in a square cavity containing a nanofluid and an adiabatic square block at the center. Superlattices and Microstructures, 52(2), 261–275. https://doi.org/10.1016/j.spmi.2012.05.007
  23. Maxwell, J. (1904). A treatise on electricity and magnetism, 2nd edition. Cambridge, UK: Oxford,University Press
  24. Miroshnichenko, I. V., &Sheremet, M. A. (2018). Turbulent natural convection heat transfer in rectangular enclosures using experimental and numerical approaches: A Review. Renewable and Sustainable Energy Reviews, 82, 40–59. https://doi.org/10.1016/j.rser.2017.09.005
  25. Muhammad, N., Nadeem, S., &Issakhov, A. (2020). Finite volume method for mixed convection flow of ag–ethylene glycol nanofluid flow in a cavity having thin central heater. Physica A: Statistical Mechanics and Its Applications, 537, 122738. https://doi.org/10.1016/j.physa.2019.122738
  26. Najafi, M., &Enjilela, V. (2014). Natural convection heat transfer at high Rayleigh numbers – Extended meshless local Petrov–Galerkin (MLPG) primitive variable method. Engineering Analysis with Boundary Elements, 44, 170–184. https://doi.org/10.1016/j.enganabound.2014.01.022
  27. PekmenGeridonmez B., Oztop H.F. (2022), The effect of inclined periodic magnetic field on natural convection flow of Al2O3-Cu/water nanofluid inside right isosceles triangular closed spaces, Engineering Analysis with Boundary Elements, 141, 222-234. https://doi.org/10.1016/j.enganabound.2022.05.009
  28. Pranowo, &Wijayanta, A. T. (2021). Numerical solution strategy for natural convection problems in a triangular cavity using a direct meshless local Petrov-Galerkin method combined with an implicit artificial-compressibility model. Engineering Analysis with Boundary Elements, 126, 13–29. https://doi.org/10.1016/j.enganabound.2021.02.006
  29. Rahimi, A. Sae, A.D., Kasaeipoor, A.D. &Malekshah, E.A. (2019), A comprehensive review on natural convection flow and heat transfer. International Journal of Numerical Methods for Heat and Fluid Flow, 29(3), 834–887. https://doi.org/10.1108/HFF-06-2018-0272
  30. Saleh, H., Roslan, R., & Hashim, I. (2011). Natural convection heat transfer in a nanofluid-filled trapezoidal enclosure. International Journal of Heat and Mass Transfer, 54(1–3), 194–201. https://doi.org/10.1016/j.ijheatmasstransfer.2010.09.053
  31. Sarra, S. A. (2012). A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains. Applied Mathematics and Computation, 218(19), 9853–9865. https://doi.org/10.1016/j.amc.2012.03.062
  32. Shahsavar Ma, Y., Moradi A., Rostami I., Moradikazerouni S., Yarmand S. , Zulkifli, N. W. (2021). Using finite volume method for simulating the natural convective heat transfer of nano-fluid flow inside an inclined enclosure with conductive walls in the presence of a constant temperature heat source. Physica A: Statistical Mechanics and Its Applications, 580, 123035. https://doi.org/10.1016/j.physa.2019.123035
  33. Sheikhi, N., Najafi, M., &Enjilela, V. (2018). Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov–Galerkin method. Engineering Analysis with Boundary Elements, 93, 29–43. https://doi.org/10.1016/j.enganabound.2018.03.018
  34. Sheikholeslami, M., &Ganji, D. D. (2016). Nanofluid convective heat transfer using semi analytical and numerical approaches: A review. Journal of the Taiwan Institute of Chemical Engineers, 65, 43–77. https://doi.org/10.1016/j.jtice.2016.05.014
  35. Sheikhzadeh, G. A., Arefmanesh, A., Kheirkhah, M. H., &Abdollahi, R. (2011). Natural convection of Cu–water nanofluid in a cavity with partially active side walls. European Journal of Mechanics. B, Fluids, 30(2), 166–176. https://doi.org/10.1016/j.euromechflu.2010.10.003
  36. Shoeibi, S., Kargarsharifabad, H., Sharifpur, M., & Meyer, J. P. (2023). Hybrid nanofluid natural convection in the square enclosure with periodic magnetic field: experimental investigation and economic evaluation. Journal of Thermal Analysis and Calorimetry. https://doi.org/10.1007/s10973-022-11924-1
  37. Sophy, T., Sadat, H., &Prax, C. (2002). A meshless formulation for three-dimensional laminar natural convection. Numerical Heat Transfer Part B Fundamentals, 41(5), 433–445. https://doi.org/10.1080/104077902753725894
  38. Uddin, M. (2014). On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method. Applied Mathematical Modelling, 38(1), 135–144. https://doi.org/10.1016/j.apm.2013.05.060
  39. Zarei M.S., Khalil Abad A.T., Hekmatifar M., Toghraie D. (2022), Heat transfer in a square cavity filled by nanofluid with sinusoidal wavy walls at different wavelengths and amplitudes, Case Studies in Thermal Engineering, 34, 101970. https://doi.org/10.1016/j.csite.2022.101970
  40. Zhang, X., & Zhang, P. (2015). Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method. Engineering Analysis with Boundary Elements, 61, 287–300. https://doi.org/10.1016/j.enganabound.2015.08.005

Last update:

No citation recorded.

Last update: 2024-11-21 22:06:38

No citation recorded.