Free Convection in a Triangular Cavity Filled with Hybrid-Nanofluid along with Sinusoidal Heat


  •   Md.Rakibul Hasan

  •   Md. Borhan Uddin

  •   Ahmed M. U.


A numerical study on convective heat transfer of hybrid nanofluid packed in a right angled triangular cavity heated by a sinusoidal temperature maintained from lower side and subjected to a constant magnetic field have been studied in this work. The hypotenuse side of the triangular cavity has been kept in uniform cool temperature while the remaining side is insulated. The governing equations of the problem have been discretized numerically with help of finite element method. A fixed Prandtl number Pr=6.2 has been used for the numerical solution. Several values of Rayleigh number Ra=102-106 , and Hartmann number Ha=0-100 which are the non-dimensional governing parameters have been examined. The volume fraction  =0.01, 0.05, 0.1 and the heat generation parameter Q = 1 have been taken for this work. Calculate and the graph of Nusselt number corresponding to different parameters have been presented. The results show that Nusselt number has been decreasing function of nanoparticles Rayleigh number and also it is a decreasing function of Hartmann number. Obtained results has been compared with previously obtained data by other authors.

Keywords: FEM Model, Free Convection, Hybrid-Nanofluid, MHD Effects


R. Nikbakhti, and A. Rahimi, “Double-diffusive natural convection in a rectangular cavity with partially thermally active side walls,” J Taiwan Inst Chem Eng, vol. 43, pp. 535–541, 2012.

H. S. Kwak, and J. M. Hyun, “Natural Convection in an Enclosure Having a Vertical Sidewall with Time-Varying Temperature,” J. Fluid Mech, vol. 329, pp. 65-88, 1996.

C. Saidi, F. Legay, and B. Pruent, “Laminar flow past a sinusoidal cavity,” Int J Heat Mass Transfer 30, pp. 649–660, 1987.

I. E. Sarris, I. Lekakis, N. S. Vlachos, Natural Convection in a 2-D Enclosure with Sinusoidal Upper Wall Temperature, Numerical Heat Transfer Applications 42(5), pp. 513-530, 2002.

S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress &Exposition San Francisco, 231, pp. 99-105, 1995.

K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int J Heat Mass Transfer 446, pp. 3639–3653, 2003.

C.J. Ho, W.K. Liu, Y.S .Chang, C.C. Lin, Natural convection heat transfer of alumina-waternanofluid in vertical square enclosures: An experimental study, Int. J. Thermal Sci 49, pp. 1345-1353, 2010.

E. Bilgen, R. B. Yedder, Natural Convection in Enclosure with Heating and Cooling by Sinusoidal Temperature Profiles on One Side, Int. J. Heat Mass Transfer 50, pp. 139–150, 2007.

Q.H. Deng, J.J. Chang, Natural Convection in a Rectangular Enclosure with Sinusoidal Temperature Distributions on Both Side Walls, Numerical Heat Transfer, Part A: Applications 54(5), pp. 507-524, 2008.

M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO–water nanofluid in presence of magnetic field, J. Taiwan Inst. Chemical Engineers 45, pp. 40–49, 2014.

B. Ghasemi, S.M. Aminossadati, Brownian motion of nanoparticles in a triangular enclosure with natural convection, International Journal of Thermal Sciences 49, pp. 931-940, 2010.

J. Sarkar, P. Ghosh, A. Adil, A review on hybrid nanofluids: Recent research, development and applications, Renewable and Sustainable Eng. Reviews 43, pp. 164–177, 2015.

S.S. Botha, P. Ndungu, B.J. Bladergroen, Physicochemical properties of oil based nanofluids containing hybrid structures of silver nanoparticle supported on silica, Ind. Eng. Chem. Res 50, pp. 3071–3077, 2011.

A.J. Chamkha, I.V. Miroshnichenko, M.A. Sheremet, Numerical analysis of unsteady conjugate natural convection of hybrid water-based nanofluid in a semicircular cavity, J. Ther. Sci. Engg. Appl. 9(4) ,2017.

A.M. Rashad, Ali J. Chamkha, Muneer A. Ismae, Taha. Salah, MHD natural convection in a triangular cavity filled with a Cu-Al2O3/water hybrid nanofluid with localized heating from below and internal heat generation, J. of Heat Transfer, pp.1-23, 2018, doi:10.1115/1.4039213.

H.C. Brinkman, The viscosity of concentrated suspensions and solution, J. Chem 20, pp. 571-581, 1952.

J.C. Maxwell, A treatise on electricity and magnetism, Oxford, UK: Clarendon Press; 1873.


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How to Cite
Hasan, M., Uddin, M. and U., A. 2019. Free Convection in a Triangular Cavity Filled with Hybrid-Nanofluid along with Sinusoidal Heat. European Journal of Engineering and Technology Research. 4, 12 (Dec. 2019), 48-52. DOI: