Conjugate Natural Convection in a Square Porous Cavity Filled with a Nanofluid in the Presence of Two Isothermal Cylindrical Sources

Authors

  • Islam Bouafia Mechanical Modeling and Experimentation Laboratory, Tahri Mohamed University, Bechar 08000, Algeria
  • Razli Mehdaoui Energarid Laboratory, Tahri Mohamed University, Bechar 08000, Algeria
  • Syham Kadri Laboratory of Semiconductor Devices Physics, Tahri Mohamed University, Bechar 08000, Algeria
  • Mohammed Elmir Mechanical Modeling and Experimentation Laboratory, Tahri Mohamed University, Bechar 08000, Algeria

DOI:

https://doi.org/10.37934/arfmts.80.1.147164

Keywords:

free convection, conduction heat transfer, porous medium, nanofluid, cylindrical source, Galerkin finite element method

Abstract

In this work, a numerical study has been performed for the problem of steady-state natural convection in a square porous cavity having a solid wall of finite thickness and conductivity filled by a nanofluid in the presence of two isothermal cylindrical sources. The external walls of the cavity are considered adiabatic and the circular sources are maintained at a hot and cold uniform temperatures. The internal thick wall has been a conducting solid. The governing dimensionless equations are solved using Galerkin finite element method and Darcy-Brinkman model assumed to be adopted. The results are presented as isotherms, streamlines, stream function values, average and local Nusselt number for various combinations of Rayleigh and Darcy numbers, concentration of nanoparticles, Thermal conductivity ratio, and dimensionless wall thickness of the solid portion. The convection heat transfer can be enhanced by increasing of these parameters except for the wall thickness.

 

References

Khanafer, Khalil, and Kambiz Vafai. "Applications of nanofluids in porous medium." Journal of Thermal Analysis and Calorimetry 135, no. 2 (2019): 1479-1492. https://doi.org/10.1007/s10973-018-7565-4

Kasaeian, Alibakhsh, Reza Daneshazarian, Omid Mahian, Lioua Kolsi, Ali J. Chamkha, Somchai Wongwises, and Ioan Pop. "Nanofluid flow and heat transfer in porous media: a review of the latest developments." International Journal of Heat and Mass Transfer 107 (2017): 778-791. https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.074

Bianco, Vincenzo, Oronzio Manca, Sergio Nardini, and Kambiz Vafai, eds. Heat transfer enhancement with nanofluids. CRC press, 2015. https://doi.org/10.1201/b18324

Sheikhzadeh, G. A., and S. Nazari. "Numerical Study of Natural Convection in a Square Cavity Filled with a Porous Medium Saturated with Nanofluid." Trans. Phenom. Nano Micro Scales 1, no. 2 (2013): 138-146.

Baïri, Abderrahmane. "Experimental study on enhancement of free convective heat transfer in a tilted hemispherical enclosure by using Water-ZnO nanofluid saturated porous materials." Applied Thermal Engineering 148 (2019): 992-998. https://doi.org/10.1016/j.applthermaleng.2018.11.115

Aly, Abdelraheem M. "Natural convection over circular cylinders in a porous enclosure filled with a nanofluid under thermo-diffusion effects." Journal of the Taiwan Institute of Chemical Engineers 70 (2017): 88-103. https://doi.org/10.1016/j.jtice.2016.10.050

Pop, Ioan, Mohammad Ghalambaz, and Mikhail Sheremet. "Free convection in a square porous cavity filled with a nanofluid using thermal non equilibrium and Buongiorno models." International Journal of Numerical Methods for Heat and Fluid Flow 26, no. 3-4 (2016): 671-693. https://doi.org/10.1108/HFF-04-2015-0133

Gro?an, T., C. Revnic, I. Pop, and D. B. Ingham. "Free convection heat transfer in a square cavity filled with a porous medium saturated by a nanofluid." International Journal of Heat and Mass Transfer 87 (2015): 36-41. https://doi.org/10.1016/j.ijheatmasstransfer.2015.03.078

Dogonchi, A. S., M. K. Nayak, Nader Karimi, Ali J. Chamkha, and D. Domiri Ganji. "Numerical simulation of hydrothermal features of Cu-H 2 O nanofluid natural convection within a porous annulus considering diverse configurations of heater." Journal of Thermal Analysis and Calorimetry (2020): 1-17. https://doi.org/10.1007/s10973-020-09419-y

Hussain, Salam Hadi, and Mustafa Salah Rahomey. "Comparison of natural convection around a circular cylinder with different geometries of cylinders inside a square enclosure filled with Ag-nanofluid superposed porous-nanofluid layers." Journal of Heat Transfer 141, no. 2 (2019). https://doi.org/10.1115/1.4039642

Sheikholeslami, M., and S. A. Shehzad. "Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition." International Journal of Heat and Mass Transfer 106 (2017): 1261-1269. https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.107

Sheikholeslami, M., Mikhail A. Sheremet, Ahmad Shafee, and Iskander Tlili. "Simulation of nanoliquid thermogravitational convection within a porous chamber imposing magnetic and radiation impacts." Physica A: Statistical Mechanics and its Applications (2020): 124058. https://doi.org/10.1016/j.physa.2019.124058

Ahmed, Sameh E., M. A. Mansour, A. M. Rashad, and T. Salah. "MHD natural convection from two heating modes in fined triangular enclosures filled with porous media using nanofluids." Journal of Thermal Analysis and Calorimetry 139, no. 5 (2020): 3133-3149. https://doi.org/10.1007/s10973-019-08675-x

Lavanya, Bommanna, and Madduleti Nagasasikala. "Effects of Dissipation and Radiation on Heat Transfer Flow of a Convective Rotating Cuo-Water Nano-fluid in a Vertical Channel." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 50, no. 2 (2018): 108-117.

Zokri, Syazwani Mohd, Sidra Aman, 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.

Chamkha, Ali J., and Muneer A. Ismael. "Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall." International Journal of Thermal Sciences 67 (2013): 135-151. https://doi.org/10.1016/j.ijthermalsci.2012.12.002

Ismael, Muneer A., T. Armaghani, and Ali J. Chamkha. "Conjugate heat transfer and entropy generation in a cavity filled with a nanofluid-saturated porous media and heated by a triangular solid." Journal of the Taiwan Institute of Chemical Engineers 59 (2016): 138-151. https://doi.org/10.1016/j.jtice.2015.09.012

Alsabery, Ammar I., Muneer A. Ismael, Ali J. Chamkha, and Ishak Hashim. "Impact of finite wavy wall thickness on entropy generation and natural convection of nanofluid in cavity partially filled with non-Darcy porous layer." Neural Computing and Applications (2020): 1-21. https://doi.org/10.1007/s00521-020-04776-z

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

Mehryan, S. A. M., Mohsen Izadi, and Mikhail A. Sheremet. "Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model." Journal of Molecular Liquids 250 (2018): 353-368. https://doi.org/10.1016/j.molliq.2017.11.177

Ghalambaz, Mohammad, Mikhail A. Sheremet, S. A. M. Mehryan, Farshad M. Kashkooli, and Ioan Pop. "Local thermal non-equilibrium analysis of conjugate free convection within a porous enclosure occupied with Ag-MgO hybrid nanofluid." Journal of Thermal Analysis and Calorimetry 135, no. 2 (2019): 1381-1398. https://doi.org/10.1007/s10973-018-7472-8

Tahmasebi, Ali, Mahboobe Mahdavi, and Mohammad Ghalambaz. "Local thermal nonequilibrium conjugate natural convection heat transfer of nanofluids in a cavity partially filled with porous media using Buongiorno's model." Numerical Heat Transfer, Part A: Applications 73, no. 4 (2018): 254-276. https://doi.org/10.1080/10407782.2017.1422632

Mehryan, S. A. M., Mohammad Ghalambaz, and Mohsen Izadi. "Conjugate natural convection of nanofluids inside an enclosure filled by three layers of solid, porous medium and free nanofluid using Buongiorno's and local thermal non-equilibrium models." Journal of Thermal Analysis and Calorimetry 135, no. 2 (2019): 1047-1067. https://doi.org/10.1007/s10973-018-7380-y

Ismael, Muneer A., and Ali J. Chamkha. "Conjugate natural convection in a differentially heated composite enclosure filled with a nanofluid." Journal of Porous Media 18, no. 7 (2015). https://doi.org/10.1615/JPorMedia.v18.i7.50

Doha, Mohammed, Draoui Belkacem, Abdellah Belkacem, and Amina Saber. "Numerical Simulation of Natural Convection in a Square Cavity with Two Partitions and Two Fluids." International Review of Mechanical Engineering 12, no. 3 (2018): 223. https://doi.org/10.15866/ireme.v12i3.14669

Al-Farhany, Khaled, and Ammar Abdulkadhim. "Numerical investigation of conjugate natural convection heat transfer in a square porous cavity heated partially from left sidewall." International Journal of Heat and Technology 36, no. 1 (2018): 237-244. https://doi.org/10.18280/ijht.360132

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Published

2021-02-05

How to Cite

Bouafia, I. ., Mehdaoui, R. ., Kadri, S. ., & Elmir, M. . (2021). 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(1), 147–164. https://doi.org/10.37934/arfmts.80.1.147164

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