Abstract
The heat transfer and fluid flow in a corrugated square cavity filled with nanofluid are investigated numerically. The opposite vertical walls are taken as having different temperatures, while the horizontal walls are considered as adiabatic. The nanofluid is copper-water, and three different shapes of corrugated boundaries are investigated here: wavy, triangular, and rectangular. The governing equations are solved with application of the SIMPLE algorithm, based on the control volume approach. This study investigates the effect of several parameters on the heat transfer: the boundary shape, Rayleigh number, nano-particle volume fraction, nano-particle diameter, cycle number, and triangle wave amplitude. The results show that corrugated boundaries reduce the heat transfer. In addition, it is found out that a nanofluid with \(\phi\) of about 0.02 has the highest value of heat transfer enhancement.
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REFERENCES
Wang, B.X., Du, J.H., and Peng, X.F., Internal Natural, Forced and Mixed Convection in Fluid-Saturated Porous Medium, Transport Phen. Porous Media, 1998, pp. 357–382.
Kurtulmus, N. and Sahin, B., A Review of Hydrodynamics and Heat Transfer through Corrugated Channels, Int. Comm. Heat Mass Transfer, 2019, p. 108104307.
Khanafer, K., Vafai, K., and Lightstone, M., Buoyancy Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nano-Fluids, Int. J. Heat Mass Transfer, 2003, vol. 46, pp. 3639–3653.
Triveni, M.K. and Panua, R., Numerical Analysis of Natural Convection in a Triangular Cavity with Different Configurations of Hot Wall, Int. J. Heat Technol., 2017, vol. 35, pp. 11–18.
Santra, A.K., Sen, S., and Chakraborty, N., Study of Heat Transfer Augmentation in a Differentially Heated Square Cavity Using Copper–Water Nanofluid, Int. J. Thermal Sci., 2008, vol. 47, pp. 1113–1122.
Corcione, M., Heat Transfer Features of Buoyancy-Driven Nanofluids inside Rectangular Enclosures Differentially Heated at the Sidewalls, Int. J. Thermal Sci., 2010, vol. 49, pp. 1536–1546.
Izadi, M., Sheremet, M.A., and Mehryan, S.A.M., Natural Convection of a Hybrid Nanofluid Affected by an Inclined Periodic Magnetic Field within a Porous Medium, Chinese J. Phys., 2020, vol. 65, pp. 447–458.
Geridonmez, B.P. and Oztop, H.F., Natural Convection in a Cavity Filled with Porous Medium under the Effect of a Partial Magnetic Field, Int. J. Mech. Sci., 2019, vol. 161, p. 105077.
Afrand, M., Pordanjani, A.H., Aghakhani, S., Oztop, H.F., and Abu-Hamdeh, N., Free Convection and Entropy Generation of a Nanofluid in a Tilted Triangular Cavity Exposed to a Magnetic Field with Sinusoidal Wall Temperature Distribution Considering Radiation Effects, Int. Commu. Heat Mass Transfer, 2020, vol. 112, p. 104507.
Heidary, H. and Kermani, M.J., Effect of Nano-Particles on Forced Convection in Sinusoidal-Wall Channel, Int. Commun. Heat Mass Transfer, 2010, vol. 37, pp. 1520–1527.
Heidary, H. and Kermani, M.J., Heat Transfer Enhancement in a Channel with Block(s) Effect and Utilizing Nano-Fluid, Int. J. Thermal Sci., 2012, vol. 57, pp. 163–171.
Ahmed, M.A., Yusoff, M.Z., and Shuaib, N.H., Effects of Geometrical Parameters on the Flow and Heat Transfer Characteristics in Trapezoidal-Corrugated Channel using Nanofluid, Int. Commun. Heat Mass Transfer, 2013, vol. 42, pp. 69–74.
Dagtekin, I. and Oztop, H.F., Natural Convection Heat Transfer by Heated Partitions within Enclosure, Int. Commun. Heat Mass Transfer, 2001, vol. 28, pp. 823–834.
Heidary H., Kermani, M.J., and Pirmohammadi, M., Partition Effect on Thermo Magnetic Natural Convection and Entropy Generation in Inclined Porous Cavity, J. Appl. Fluid Mech., 2016, vol. 9, pp. 119–130.
Pirmohammadi, M., Ghassemi, M., and Hamedi, M., Effect of Inclination Angle on Magneto-Convection inside a Tilted Enclosure, IEEE Trans. Magnet., 2010, vol. 46, no. 9, pp. 3697–3700.
Varol, Y., Oztop, H.F., and Varol A., Natural Convection in Porous Triangular Enclosures with a Solid Adiabatic Fin Attached to the Horizontal Wall, Int. Commun. Heat Mass Transfer, 2007, vol. 34, pp. 19–27.
Khanafer, K., Al-Azmi, B., Marafie A., and Pop, I., Non-Darcian Effects on Natural Convection Heat Transfer in a Wavy Porous Enclosure, Int. J. Heat Mass Transfer, 2009, vol. 52, pp. 1887–1896.
Rahman, M.M., Saidur, R., Mekhilef, S., Borhan Uddin, M., and Ahsan, A., Double-Diffusive Buoyancy Induced Flow in a Triangular Cavity with Corrugated Bottom Wall: Effects of Geometrical Parameters, Int. Commun. Heat Mass Transfer, 2013, vol. 45, pp. 64–74.
Nasrin, R., Alim, M.A., and Chamkha, A.J., Combined Convection Flow in Triangular Wavy Chamber Filled with Water–CuO Nanofluid: Effect of Viscosity Models, Int. Commun. Heat Mass Transfer, 2012, vol. 39, pp. 1226–1236.
Mohebbi, R., Khalilabad, S.H., and Ma, Y., Effect of\(\gamma\)-Al2O3/Water Nanofluid on Natural Convection Heat Transfer of Corrugated Shaped Cavity: Study the Different Aspect Ratio of Grooves, J. Appl. Fluid Mech., 2019, vol. 12, pp. 1151–1160.
Selimefendigil, F. and Öztop, H.F., Role of Magnetic Field and Surface Corrugation on Natural Convection in a Nanofluid Filled 3D Trapezoidal Cavity, Int. Commun. Heat Mass Transfer, 2018, vol. 95, pp. 182–196.
Azizul, F.M., Alsabery A.I., and Hashim, I., Heatlines Visualisation of Mixed Convection Flow in a Wavy Heated Cavity Filled with Nanofluids and Having an Inner Solid Block, Int. J. Mech. Sci., 2020, vol. 175, p. 105529.
Abdelmalek, Z., Tayebi, T., Dogonchi, A.S., Chamkha, A.J., Ganji, D.D., and Tlili Eskander, I.J., Role of Various Configurations of a Wavy Circular Heater on Convective Heat Transfer within an Enclosure Filled with Nanofluid, Int. Commun. Heat Mass Transfer, 2020, vol. 113, p. 104525.
Heidary, H., Abbassi, A., and Kermani, M.J., Enhanced Heat Transfer with Corrugated Flow Channel in Anode Side of Direct Methanol Fuel Cells, Energy Convers. Manag., 2013, vol. 75, pp. 748–760.
Corcione M., Empirical Correlating Equations for Predicting the Effective Thermal Conductivity and Dynamic Viscosity of Nanofluids, Energy Convers. Manag., 2011, vol. 52, pp. 789–793.
Cianfrini, C., Corcione, Habib, M.E., and Quintino, A., Buoyancy-Induced Convection in Al2O3/Water Nanofluids from an Enclosed Heater, European J. Mech.-B/Fluids, 2014, vol. 48, pp. 123–134.
Corcione, M., Cianfrini, M., and Quintino, A., Enhanced Natural Convection Heat Transfer of Nanofluids in Enclosures with Two Adjacent Walls Heated and the Two Opposite Walls Cooled, Int. J. Heat Mass Transfer, 2015, vol. 88, pp. 902–913.
Maxwell-Garnett, J.C., Colours in Metal Glasses and in Metallic Films, Philos. Trans. Royal Soc. A, 1904, vol. 203, pp. 385–420.
Brinkman, H.C., The Viscosity of Concentrated Suspensions and Solutions, J. Chem. Phys., 1952, vol. 20, p. 571.
Patankar, S.V. and Spalding, D.B., A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows, Int. J. Heat Mass Transfer, 1972, vol. 15, pp. 1787–1806.
Rhie, C.M. and Chow, W.L., Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AIAA J., 1983, vol. 21, pp. 1525–1532.
Barakos, G. and Mitsoulis, E., Natural Convection Flow in a Square Cavity Revisited: Laminar and Turbulent Models with Wall Functions, Int. J. Num. Methods Fluids, 1994, vol. 18, pp. 695–719.
de Vahl Davis G., Natural Convection of Air in a Square Cavity, a Benchmark Numerical Solution, Int. J. Num. Methods Fluids, 1962, vol. 3, pp. 249–264.
Fusegi, T., Hyun, J.M., Kuwahara, K., and Farouk, B., A Numerical Study of Three-Dimensional Natural Convection in a Differentially Heated Cubical Enclosure, Int. J. Heat Mass Transfer, 1991, vol. 34, pp. 1543–1557.
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Heidary, H., Pirmohammadi, M. Effect of Nano-Particles on Natural Convection in Corrugated-Wall Enclosure. J. Engin. Thermophys. 31, 489–505 (2022). https://doi.org/10.1134/S1810232822030109
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DOI: https://doi.org/10.1134/S1810232822030109