Numerical simulation of unsteady mixed convection of nanofluid in a lid-driven square cavity

Yıl 2019, Cilt: 48 Sayı: 4, 1057 - 1078, 08.08.2019

Nagehan Alsoy-akgün

Öz

The behavior of unsteady mixed convection flow of $Cu-$water based nanofluids is investigated numerically inside a square lid-driven partially heated flow below. Dual Reciprocity Boundary Element Method is used to solve stream function-vorticity form of the governing equations of the problem. The need of time integration scheme is eliminated by transforming the vorticity transport and energy equations to modified Helmholtz equations. This procedure also diminishes the stability problems. The numerical results are given for several values of Reynolds number $(Re)$, Rayleigh number $(Ra)$, heat source location $(D)$, heat source length $(B)$ and solid volume fraction $(\phi)$. The steady-state results are in good agreement with the results available in the literature.

Anahtar Kelimeler

DRBEM, nanofluid, lid-driven cavity

Kaynakça

• [1] E. Abu-Nada and A.J. Chamkha, Mixed convection flow in a lid-driven inclined square enclosure filled with a nanofluid, Eur. J. Mech. B Fluids, 29, 472–482, 2010.
• [2] A. Alsoy-Akgün and M. Tezer-Sezgin, DRBEM solution of the thermo-solutal buoyancy induced mixed convection flow problems, Eng. Anal. Bound. Elem. 37, 513–526, 2013.
• [3] A. Alsoy-Akgün and M. Tezer-Sezgin, DRBEM and DQM solution of natural convection flow in cavity under a magnetic field, Prog. Comput. Fluid Dyn. 13, 270–284, 2013.
• [4] A.A.A. Arani, J. Amani and M.H. Esfeha, Numerical simulation of mixed convection flows in a square double lid-driven cavity partially heated using nanofluid, J. Nanostruct. 2, 301–311, 2012.
• [5] M. Bouchmel, B. Nabil, A.M. Ammar, G. Kamel and O. Ahmed, Entropy generation and heat transfer of Cu-water nanofluid mixed convection in a cavity, Int. J. Mech. Aerosp. Ind. Mech. and Manuf. Eng. 8, 2137–2143, 2014.
• [6] C.A. Brebbia, The boundary element method for engineers, Pentech Press, 1984.
• [7] A.J. Chamkha and E. Abu-Nada, Mixed convection flow in single- and double-lid driven square cavities filled with water-$Al_2O_3$ nanofluid: Effect of viscosity models, Eur. J. Mech. B Fluids, 36, 82–96, 2012.
• [8] M.H. Esfe, M. Akbari and A. Karimipour, Mixed convection in a lid-driven cavity with an inside hot obstacle filled by an Al2O3-water nanofluid, J. Appl. Mech. Tech. Phys. 56, 443–453, 2015.
• [9] B. Ghasemi and S.M. Aminossadati, Mixed convection in a lid-driven triangular enclosure filled with nanofluids, Int. Commun. Heat Mass, 37, 1142–1148, 2010.
• [10] S. Gümgüm and M. Tezer-Sezgin, DRBEM solution of mixed convection flow of nanofluids in enclosures with moving walls, J. Comput. Appl. Math. 259, 730–740, 2014.
• [11] S. Hussain, S. Ahmad, K. Mehmood and M. Sagheer, Effects of inclination angle on mixed convective nanofluid flow in a double lid-driven cavity with discrete heat sources, Int. J. Heat Mass Tran. 106, 847–860, 2017.
• [12] S. Kakaç and A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, Int. J. Heat Mass Tran. 52, 3187–3196, 2009.
• [13] M. Kalteh, K. Javaherdeh and T. Azarbarzin, Numerical solution of nanofluid mixed convection heat transfer in a lid-driven square cavity with a triangular heat source, Powder Technol. 253, 780–788, 2014.
• [14] M. Mahmoodi, Mixed convection inside nanofluid filled rectangular enclosures with moving bottom wall, Therm. Sci. 15, 889–903, 2011.
• [15] M.A. Mansour, R.A. Mohamed, M.M. Abd-Elaziz and S.E. Ahmed, Numerical simulation of mixed convection flows in a square lid-driven cavity partially heated from below using nanofluid, Int. Commun. Heat Mass, 37, 1504–1512, 2010.
• [16] M. Muthtamilselvan, P. Kandaswamy and J. Lee, Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure, Commun. Nonlinear Sci. Numer. Simulat. 15, 1501–1510, 2010.
• [17] R.K. Nayak, S. Bhattacharyya and I. Pop, Numerical study on mixed convection and entropy generation of Cu-water nanofluid in a differentially heated skewed enclosure, Int. J. Heat Mass Tran. 85, 620–634, 2015.
• [18] H. Nemati, M. Farhadi, K. Sedighi, E. Fattahi and A.A.R. Darzi, Lattice Boltzmann simulation of nanofluid in lid-driven cavity, Int. Commun. Heat Mass, 37, 1528–1534, 2010.
• [19] P.W. Partridge, C.A. Brebbia and L.C.Wrobel, The dual reciprocity boundary element method, Computational Mechanics Publications, 1992.
• [20] M.M. Rahman, M.M. Billah, M. Hasanuzzaman, R. Saidur and N.A. Rahim, Heat transfer enhancement of nanofluids in a lid-driven square enclosure, Numer. Heat Tr. A-Appl. 62, 973–991, 2012.
• [21] M.M. Rahman, M.M. Billah, A.T.M.M. Rahman, M.A. Kalam and A. Ahsan, Numerical investigation of heat transfer enhancement of nanofluids in an inclined lid-driven triangular enclosure, Int. Commun. Heat Mass, 38, 1360–1367, 2011.
• [22] R. Saidur, K.Y. Leong and H.A. Mohammad, A review on applications and challenges of nanofluids, Renew. Sust. Energ. Rev. 25, 1646–1668, 2011.
• [23] M. Salari, M.M. Tabar, A.M. Tabar and H.A. Danes, Mixed convection of nanofluid flows in a square lid-driven cavity heated partially from both the bottom and side walls, Numer. Heat Tr. A-Appl. 62, 158–177, 2012.
• [24] M.A. Sheremet and I. Pop, Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno’s mathematical model, Appl. Math. Comput. 266, 792–808, 2015.
• [25] F. Talebi, A.H. Mahmoudi and M. Shahi, Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid, Int. Commun. Heat Mass, 37, 79–90, 2010.
• [26] R.K. Tiwari and M.K. Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Tran. 50, 2002–2018, 2007.
• [27] X.Q. Wang and A.S. Mujumdar, A review on nanofluids-part I:Theorical and numerical investigations, Braz. J. Chem. Eng. 25, 613–630, 2008.
• [28] X.Q. Wang and A.S. Mujumdar,. A review on nanofluids-part II:Experiments and applications, Braz. J. Chem. Eng. 25, 631–648, 2008.
• [29] D. Wen, G. Lin, S. Vafaei and K. Zhang, Review of nanofluids for heat transfer applications, Particuology, 7, 141–150, 2009.
• [30] W. Yu, D.M. France, J.L. Routbort and S.U.S. Choi, Review and comparison of nanofluid thermal conductivity and heat transfer enhancements, Heat Transfer Eng. 29, 432–460, 2008.