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Natural Convection Analysis in a Cavity with an Inclined Elliptical Heater Subject to Shape Factor of Nanoparticles and Magnetic Field

  • Research Article - Mechanical Engineering
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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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References

  1. Wang, X.Q.; Mujumdar, A.S.: Heat transfer characteristic of nanofluid, a review. Int. J. Therm. Sci. 46, 1–19 (2007)

    Article  Google Scholar 

  2. Kakaç, S.; Pramuanjaroenkij, A.: Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Trans. 52, 3187–3196 (2009)

    Article  MATH  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. 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)

    Google Scholar 

  8. 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)

    Article  Google Scholar 

  9. 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)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. 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)

    Article  Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. 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

    Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. 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

    Google Scholar 

  16. 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)

    Article  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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)

    Article  Google Scholar 

  19. 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

    Google Scholar 

  20. 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

    Article  MATH  Google Scholar 

  21. 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

    Article  Google Scholar 

  22. 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

    Google Scholar 

  23. 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

    Article  MathSciNet  MATH  Google Scholar 

  24. 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

    Article  Google Scholar 

  25. 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)

    Article  Google Scholar 

  26. 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)

    Article  Google Scholar 

  27. 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)

    Article  Google Scholar 

  28. 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

    Article  Google Scholar 

  29. 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

    Article  Google Scholar 

  30. 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)

    Article  Google Scholar 

  31. 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

    Google Scholar 

  32. 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)

    Article  MATH  Google Scholar 

  33. 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)

    Article  MATH  Google Scholar 

  34. 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)

    Article  MATH  Google Scholar 

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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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