The response of nano-ceramic doped fluids in heat convection models: A characteristics-based numerical approach

Document Type : Article

Authors

1 Department of Mechanical Engineering, University of Bonab, Bonab, P.O. Box 5551761167, Iran

2 School of Mechanical Engineering, University of Tabriz, Tabriz, P.O. Box 5166616471, Iran

3 Energy Management Group, Energy and Environment Research Center, Niroo Research Institute, Tehran, P.O. Box 1468613113, Iran

4 Department of Mechanical Engineering, University of Mohaghegh Ardabili, Ardabil, P.O. Box 56199-11367, Iran

Abstract

In this paper, forced, free, and mixed convections in incompressible flow were studied numerically. Nano-sized Al2O3, TiO2, MgO, and ZnO ceramics with water were considered as nano-fluids. Simulations were carried out for cavity flow with different boundary conditions and aspect ratios, as well as flow over stationary and rotating cylinders. The mean Nusselt number ((Nu) ̅) and friction factor for cavity flow and (Nu) ̅ for flow over a cylinder were compared for different nano-fluids. A new code was developed in FORTRAN 95 for numerical simulations. A fifth-order Runge-Kutta method for time discretization and a characteristic-based scheme for convective terms were used in this code. The averaging scheme on the secondary cells is used to obtain viscous fluxes. Primary results are validated with other researcher's outputs. Results showed that MgO-water and ZnO-water had maximum and minimum heat transfer rates, respectively. Moreover, maximum and minimum shear stresses were recorded for the Al2O3-water and TiO2-water, respectively. Using nanofluid increases the heat transfer rate between 15 and 37 percent depending on the Richardson number and selected nano-particles.

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References
[1] Ralph L. Webb, Kim, N.-H., Principles of Enhanced Heat Transfer, 2007.
[2] Moghanlou, F., Shams Khorrami, A., Esmaeilzadeh, E., et al., "Experimental study on electrohydrodynamically induced heat transfer enhancement in a minichannel", Exp. Therm. Fluid Sci., 59 PP. 24–31 (2014).
[3] Adibi, T., Razavi, S. E., Adibi, O., "A Characteristic-based Numerical Simulation of Water-titanium Dioxide Nano-fluid in Closed Domains", Int. J. Eng. Technol., 33(1) PP. 158-163 (2020).
[4] Sakkaki, M., Moghanlou, F., Parvizi, S., et al., "Phase change materials as quenching media for heat treatment of 42CrMo4 steels", J. Cent. South Univ., 27 PP. 752-761 (2020).
[5] Maïga, S. E. B., Palm, S. J., Nguyen, C. T., et al., "Heat transfer enhancement by using nanofluids in forced convection flows", INT. J. HEAT FLUID FL., 26(4) PP. 530-546 (2005).
[6] Kefayati, G. R., "Lattice Boltzmann simulation of natural convection in nanofluid-filled 2D long enclosures at presence of magnetic field", Theor. Comput. Fluid Dyn., 27(6) PP. 865-883 (2013).
[7] Mahmoodi, M., "Numerical simulation of free convection of nanofluid in a square cavity with an inside heater", Int. J. Therm. Sci., 50(11) PP. 2161-2175 (2011).
[8] Rahmati, A. R., Tahery, A. A., "Numerical study of nanofluid natural convection in a square cavity with a hot obstacle using lattice Boltzmann method", Alex. Eng. J., 57(3) PP. 1271-1286 (2018).
[9] Akbarinia, A., Behzadmehr, A., "Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes", Appl. Therm. Eng., 27(8) PP. 1327-1337 (2007).
[10] Heydari, A., Shateri, M., Sanjari, S., "Numerical Analysis of a Small Size Baffled Shell-and-Tube Heat Exchanger Using Different Nano-Fluids", Heat Transf. Eng., 39(2) PP. 141-153 (2018).
[11] Uysal, C., Arslan, K., Kurt, H., "A Numerical Analysis of Fluid Flow and Heat Transfer Characteristics of ZnO-Ethylene Glycol Nanofluid in Rectangular Microchannels", STROJ. VESTN-J. MECH. E., 62(10) PP. 11 (2016).
[12] Sunil, A. K., Kumar, R., "LBM Analysis of Micro-Convection in MHD Nanofluid Flow", STROJ. VESTN-J. MECH. E., 63(7-8) PP. 13 (2017).
[13] Al-Kouz, W. G., Kiwan, S., Alkhalidi, A., et al., "Numerical Study of Heat Transfer Enhancement for Low-Pressure Flows in a Square Cavity with Two Fins Attached to the Hot Wall Using Al2O3-Air Nanofluid", STROJ. VESTN-J. MECH. E.,  PP.  (2018).
[14] Zhang, W., Hosseini Taleghani, A., Ayani, M., et al., "Nanoparticle and shape factor for improving solidification rate", Int. J. Mod. Phys. C., 31(10) PP. 2050141 (2020).
[15] Farooq, M., Salahuddin, A., Razzaq, M., et al., "Computational Analysis for Unsteady and Steady Magnetohydrodynamic Radiating Nano Fluid Flow past a Slippery Stretching Sheet Immersed in a Permeable Medium", Sci. Iran.,  PP.  (2020).
[16] Sravanthi, C. S., "Slip flow of nano fluid over a stretching vertical cylinder in the presence of non-linear thermal radiation and non-uniform heat source/sink", Sci. Iran., 25(4) PP. 2098-2110 (2018).
[17] Ghaffarpasand, O., Fazeli, D., "Numerical Analysis of MHD Mixed Convection Flow in a Parallelogramic Porous Enclosure Filled with Nano Fluid and in Presence of Magnetic Field Induction", Sci. Iran., 25(3) PP. 1789-1807 (2018).
[18] Nawaz, M., "Numerical study of hydrothermal characteristics in nano fluid using KKL model with Brownian motion", Sci. Iran., 26(3) PP. 1931-1943 (2019).
[19] Adibi, T., "Three-dimensional characteristic approach for incompressible thermo-flows and influence of artificial compressibility parameter", Journal of Computational & Applied Research in Mechanical Engineering (JCARME), 8(2) PP. 223-234 (2019).
[20] Adibi, T., Razavi, S. E., "A new characteristic approach for incompressible thermo-flow in Cartesian and non-Cartesian grids", Int. J. Numer. Methods Fluids, 79(8) PP. 371-393 (2015).
[21] Razavi, S. E., Adibi, T., "A novel multidimensional characteristic modeling of incompressible convective heat transfer", J APPL FLUID MECH, 9(4) PP.  (2016).
[22] Chorin, A. J., "A Numerical Method for Solving Incompressible Viscous Flow Problems", J. Comput. Phys., 135(2) PP. 118-125 (1997).
[23] Sabour, M., Ghalambaz, M., Chamkha, A., "Natural convection of nanofluids in a cavity: criteria for enhancement of nanofluids", INT. J. NUMER. METHOD H., 27(7) PP. 1504-1534 (2017).
[24] Borgnakke, C., Sonntag, R. E., "Fundamentals of Thermodynamics", Don Fowley,  PP.  (2015).
[25] Adibi, T., Adibi, O., Razavi, S. E., "A Characteristic-based Solution of Forced and Free Convection in Closed Domains with Emphasis on Various Fluids", Int. J. Eng. Technol., 32(11) PP. 1689-1695 (2019).
[26] Adibi, T., Adibi, O.  , "Laminar forced convection simulation at different boundary conditions with averaging scheme (numerical and theoretical research", Math. Model. Eng. Probl, 6(4) PP. 519-526 (2019).
[27] Muthtamilselvan, M., Kandaswamy, P., Lee, J., "Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure", Comm. Nonlinear Sci. Numer. Simulat., 15(6) PP. 1501-1510 (2010).
[28] Ghia, U., Ghia, K. N., Shin, C. T., "High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method", J. Comput. Phys., 48(3) PP. 387-411 (1982).