Abstract
The objective of the present study is to peruse the natural convection in the cavity containing inclined elliptical heater under shape factor of nanoparticles and magnetic field. The control volume-based finite element method is used for solving conservation equations. Numerical results show very good grid independency and very good compromise with other works. The result shows the heat transfer grows via mounting nanofluid volume fraction. The increment of Ra number also leads the heat transfer to ascend. Heat transfer of nanofluid with three different shapes of nanoparticles is studied, and results show the platelet nanoparticle is better than the other ones. The influence of magnetic field on heat transfer is also investigated and discussed. The obtained outcomes represent that at a certain Rayleigh number, the average Nusselt number descends with the ascendant of Hartmann number. Finally, the new correlation is reported for calculating the Nu number in these geometries.
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Wang, X.Q.; Mujumdar, A.S.: Heat transfer characteristic of nanofluid, a review. Int. J. Therm. Sci. 46, 1–19 (2007)
Kakaç, S.; Pramuanjaroenkij, A.: Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Trans. 52, 3187–3196 (2009)
Aminossadati, S.M.; Ghasemi, B.: Conjugate natural convection in an inclined nanofluid filled enclosure. Int. J. Numer. Methods Heat Fluid Flow 22, 403–423 (2012)
Subbiah, M.: Simulation of nano fluid flow and natural convection heat transfer in an incinerator shaped cavity containing a heated block. Fluid Mech. Open Acc. 4, 2–5 (2017)
Kalidasan, K.; Velkennedy, R.; Rajesh Kanna, P.: Natural convection heat transfer enhancement using nanofluid and time-variant temperature on the square enclosure with diagonally constructed twin adiabatic blocks. Appl. Therm. Eng. 92, 219–235 (2016)
Kolsi, L.; Kalidasan, K.; Alghamdi, A.; Borjini, M.N.; Rajesh Kanna, P.: Natural convection and entropy generation in a cubical cavity with twin adiabatic blocks filled by aluminum oxide-water nanofluid. Numer. Heat Transf. Appl. 70, 242–259 (2016)
Arici, M.; Kaptan, C.; Karabay, H.: Mixed convection heat transfer of nanofluids in a trapezoidal cavity having an adiabatic square body at its center. Res. Eng. Struct. Mater. 3, 155–162 (2017)
Esfe, M.H.; Arani, A.A.; Niroumand, A.H.; Yan, W.-M.; Karimipour, A.: Mixed convection heat transfer from surface-mounted block heat sources in a horizontal channel with nanofluids. Int. J. Heat Mass Transf. 89, 783–791 (2015)
Boulahia, Z.; Wakif, A.; Sehaqui, R.: Numerical investigation of mixed convection heat transfer of nanofluid in a lid driven square cavity with three triangular heating blocks. Int. J. Comput. Appl. 143, 37–45 (2016)
Boulahia, Z.; Wakif, A.; Sehaqui, R.: Natural convection heat transfer of the nanofluids in a square enclosure with an inside cold obstacle. Int. J. Innov. Sci. Res. 21, 367–375 (2016)
Alsabery, A.I.; Sheremet, M.A.; Chamkha, A.J.; Hashim, I.: MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model. Sci. Rep. 8, 7410 (2018)
Ismael, M.A.; Armaghani, T.; Chamkha, A.J.: Conjugate heat transfer and entropy generation in a cavity filled with a nanofluid-saturated porous media and heated by a triangular solid. J. Taiwan Inst. Chem. Eng. 59, 138–151 (2016)
Alsabery, A.I.; Armaghani, T.; Chamkha, A.J.; Hashim, I.: Conjugate heat transfer of Al2O3-water nanofluid in a square cavity heated by a triangular thick wall using Buongiorno’s two-phase model. J. Therm. Anal. Calorim. (2018). https://doi.org/10.1007/s10973-018-7473-7
Ismael, M.A.; Armaghani, T.; Chamkha, A.J.: Mixed convection and entropy generation in a lid driven cavity filled with a hybrid nanofluid and heated by a triangular solid. Heat Transf. Res. 49, 1645–1665 (2018)
Dogonchi, A.S.; Selimefendigil, F.; Ganji, D.D.: Magneto-hydrodynamic natural convection of CuO-water nanofluid in complex shaped enclosure considering various nanoparticle shapes. Int. J. Numer. Methods Heat Fluid Flow (2018). https://doi.org/10.1108/HFF-06-2018-0294
Soheil Soleimani, D.D.; Ganji, M.; Gorji, H.; Bararnia, H.; Ghasemi, E.: Optimal location of a pair heat source-sink in an enclosed square cavity with natural convection through PSO algorithm. Int. Commun. Heat Mass Transf. 38, 652–658 (2011)
Dogonchi, A.S.; Sheremet, M.A.; Pop, I.; Ganji, D.D.: MHD natural convection of Cu/H2O nanofluid in a horizontal semi-cylinder with a local triangular heater. Int. J. Numer. Methods Heat Fluid Flow 28, 2979–2996 (2018). https://doi.org/10.1108/HFF-04-2018-0160
Bararnia, H.; Soleimani, S.; Ganji, D.D.: Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. Int. Commun. Heat Mass Transf. 38, 1436–1442 (2011)
Seyyedi, S.M.; Dogonchi, A.S.; Hashemi-Tilehnoee, M.; Asghar, Z.; Waqas, M.; Ganji, D.D.: A computational framework for natural convective hydromagnetic flow via inclined cavity: an analysis subjected to entropy generation. J. Mol. Liq. (2019). https://doi.org/10.1016/j.molliq.2019.04.140
Soleimani, S.; Qajarjazi, A.; Bararnia, H.; Barari, A.; Domairry, G.: Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method. Meccanica 46, 1023–1033 (2011). https://doi.org/10.1007/s11012-010-9358-0
Dogonchi, A.S.; Ismael, M.A.; Chamkha, A.J.; Ganji, D.D.: Numerical analysis of natural convection of Cu-water nanofluid filling triangular cavity with semicircular bottom wall. J. Therm. Anal. Calorim. 135, 3485–3497 (2019). https://doi.org/10.1007/s10973-018-7520-4
Seyyedi, S.M.; Dogonchi, A.S.; Ganji, D.D.; Hashemi-Tilehnoee, M.: Entropy generation in a nanofluid-filled semi-annulus cavity by considering the shape of nanoparticles. J. Therm. Anal. Calorim. (2019). https://doi.org/10.1007/s10973-019-08130-x
Ghasemi, E.; Soleimani, S.; Bayat, M.: Control volume based finite element method study of nano-fluid natural convection heat transfer in an enclosure between a circular and a sinusoidal cylinder. Int. J. Nonlinear Sci. Numer. Simul. 14, 521–532 (2013). https://doi.org/10.1515/ijnsns-2012-0177
Chamkha, A.J.; Dogonchi, A.S.; Ganji, D.D.: Magnetohydrodynamic nanofluid natural convection in a cavity under thermal radiation and shape factor of nanoparticles impacts: a numerical study using CVFEM. Appl. Sci. 8, 2396 (2018). https://doi.org/10.3390/app8122396
Seyyedi, S.M.; Sahebi, N.; Dogonchi, A.S.; Hashemi-Tilehnoee, M.: Numerical and experimental analysis of a rectangular single-phase natural circulation loop with asymmetric heater position. Int. J. Heat Mass Transf. 130, 1343–1357 (2019)
Dogonchi, A.S.; Waqas, M.; Seyyedi, S.M.; Hashemi-Tilehnoee, M.; Ganji, D.D.: CVFEM analysis for Fe3O4–H2O nanofluid in an annulus subject to thermal radiation. Int. J. Heat Mass Transf. 132, 473–483 (2019)
Dogonchi, A.S.: Heat transfer by natural convection of Fe3O4-water nanofluid in an annulus between a wavy circular cylinder and a rhombus. Int. J. Heat Mass Transf. 130, 320–332 (2019)
Dogonchi, A.S.; Chamkha, A.J.; Ganji, D.D.: A numerical investigation of magneto-hydrodynamic natural convection of Cu-water nanofluid in a wavy cavity using CVFEM. J. Therm. Anal. Calorim. 135, 2599–2611 (2019). https://doi.org/10.1007/s10973-018-7339-z
Dogonchi, A.S.; Sheremet, M.A.; Ganji, D.D.; Pop, I.: Free convection of copper–water nanofluid in a porous gap between hot rectangular cylinder and cold circular cylinder under the effect of inclined magnetic field. J. Therm. Anal. Calorim. 135, 1171–1184 (2019). https://doi.org/10.1007/s10973-018-7396-3
Ghasemi, E.; Soleimani, S.; Bararnia, H.: Natural convection between a circular enclosure and an elliptic cylinder using control volume based finite element method. Int. Commun. Heat Mass Transf. 39, 1035–1044 (2012)
Dogonchi, A.S.; Waqas, M.; Seyyedi, S.M.; Hashemi-Tilehnoee, M.; Ganji, D.D.: Numerical simulation for thermal radiation and porous medium characteristics in low of CuO–H2O nanofluid. J. Braz. Soc. Mech. Sci. Eng. (2019). https://doi.org/10.1007/s40430-019-1752-5
Khanafer, K.; Vafai, K.; Lightstone, M.: Buoyancy-driven heat transfer enhancement in a two dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transf. 46, 3639–3653 (2003)
De Vahl Davis, G.: Natural convection of air in a square cavity, a benchmark numerical solution. Int. J. Numer. Methods Fluids 3, 249–264 (1962)
Kim, B.S.; Lee, D.S.; Ha, M.Y.; Yoon, H.S.: A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations. Int. J. Heat Mass Transf. 51, 1888–1906 (2008)
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Dogonchi, A.S., Armaghani, T., Chamkha, A.J. et al. Natural Convection Analysis in a Cavity with an Inclined Elliptical Heater Subject to Shape Factor of Nanoparticles and Magnetic Field. Arab J Sci Eng 44, 7919–7931 (2019). https://doi.org/10.1007/s13369-019-03956-x
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DOI: https://doi.org/10.1007/s13369-019-03956-x