Numerical Study of the Mixed Convection in a Cavity with a Movable Cap and Baffle Containing Aluminum Oxide / Water Nanofluid

Document Type : Original Article

Authors

1 Master's degree, Imam Hossein University, Tehran, Iran

2 Professor, Imam Hossein University, Tehran, Iran

Abstract

In this study, due to the importance of investigating the improvement of heat transfer during the movement of al2o3/water Nano fluid, mixed convection inside a square cavity with a movable cap and baffle was simulated numerically using the finite volume method. The under-study cavity is two dimensional and affecting by gravity and rotating perpendicular to the plane. Right and left walls of the cavity are adiabatic and the upper wall is warm source at a constant temperature. Lower surface is a movable cap that moves from the center to both sides and assumed to be a cold source at constant temperature. The baffle was assumed to be at the same temperature as cold wall and had a height equal to two thirds of the side of the cavity. Experimental data was used for the thermal conductivity coefficient of the Nano fluid. Simulations were performed at a constant Reynolds number to investigate the effects of three parameters of Richardson number, volume fraction of solid particles and cavity slope angle on isothermal lines, streamlines and mean Nusselt value, which created 36 different states. It was found that increasing of slop angle of cavity with respect to reference surface (0 to 90 deg), increasing Richardson number (0.01 to 100) and increasing the volume fraction (0 to 0.05), increase the mean Nusselt value, where the maximum value of which is equivalent to state ,  , . Increasing the volume fraction of the Nano fluid causes an increment in average Nusselt number. It was also observed that at low Richardson values, cavity slope angle has no effect on the results

Keywords

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References

  [1]    Hemmat Esfe, M., Akbari, M., Karimipour, A., Afrand, M., Mahian, O., and Wongwises, S.“Mixed-Convection Flow and Heat Transfer in an Inclined Cavity Equipped to a Hot Obstacle Using Nanofluids Considering Temperature-Dependent Properties”, Int. J. Heat Mass Transf, Vol. 85 , pp. 656–666 , 2015.
[2]  Siavashi, M., Yousofvand, R., and Rezanejad, S. “Nanofluid and Porous Fins Effect on Natural Convection and Entropy Generation of Flow Inside a Cavity”, Adv. Powder Technol, Vol. 29 , pp. 142–156 , 2018.
[3]  Hasan, M. N., Samiuzzaman, K., Haque, S. H., Saha, S., and Islam, M. Q. “Mixed Convection Heat Transfer Inside a Square Cavity Filled with Cu-water Nanofluid, in: Procedia Eng.”, pp. 438–445 , 2015.
[4] Mehryan, S. A. M., Kashkooli, F. M., Ghalambaz, M., and Chamkha, A. J. “Free Convection of Hybrid Al2O3-Cu Water Nanofluid in a Differentially Heated Porous Cavity”, Adv. Powder Technol, Vol. 28 , pp. 2295–2305 , 2017.
[5]         Mukesh Kumar, P. C. and Chandrasekar, M. “A Review on Helically Coiled Tube Heat Exchanger Using Nanofluids”, Mater. Today Proc., 2019.
[6]         Corcione, M. “Empirical Correlating Equations for Predicting the Effective Thermal Conductivity and Dynamic Viscosity of  Nanofluids”, Energy Convers. Manag, Vol. 52 , pp. 789–793 , 2011.
[7]         Tiwari, A. K., Ghosh, P., and Sarkar, J. “Heat Transfer and Pressure Drop Characteristics of CeO2/Water Nanofluid in Plate Heat Exchanger”, Appl. Therm. Eng, Vol. 57 , pp. 24–32 , 2013.
 
 [8]    Pourhoseini, S. H. and Naghizadeh, N. “An Experimental Study on Optimum Concentration of Silver-Water Microfluid for Enhancing Heat Transfer Performance of a Plate Heat Exchanger”, J. Taiwan Inst. Chem. Eng, Vol. 75 , pp. 220–227 , 2017.
[9]    Yang, Y., Zhang, Z. G., Grulke, E. A., Anderson, W. B., and Wu, G. “Heat Transfer Properties of Nanoparticle in Fluid Dispersions in Laminar Flow”, Int. J. Heat Mass Transf, Vol. 48 , pp. 1107–1116 , 2005.
[10]       Wang, X. Q. and Mujumdar, A. S. “Heat Transfer Characteristics of Nanofluids: A Review.”, Int. J. Therm. Sci, Vol. 46 , pp. 1–19 , 2007.
[11]       Raisi, A. “،The Effect of Conductive Baffles on Natural Convection in a Power-Law Fluid-Filled Square Cavity”, J. Brazilian Soc. Mech. Sci. Eng, Vol. 40 , pp. 33 , 2018.
[12]       Khanafer, K., AlAmiri, A., and Bull, J. “Laminar Natural Convection Heat Transfer in a Differentially Heated Cavity with a Thin Porous Fin Attached to the Hot Wall”, Int. J. Heat Mass Transf, Vol. 87 , pp. 59–70 , 2015.
[13]       Aly, A. M. and Raizah, Z. A. S., “Incompressible Smoothed Particle Hydrodynamics Simulation of Natural Convection in a Nanofluid-Filled Complex Wavy Porous Cavity with Inner Solid Particles”, Phys. A Stat. Mech. Its Appl, Vol. 537 , pp. 122623 , 2020.
[14]       Alnaqi, A. A., Aghakhani, S., Pordanjani, A. H., Bakhtiari, R., Asadi, A., and Tran, M. D. “Effects of Magnetic Field on the Convective Heat Transfer Rate and Entropy Generation of a Nanofluid in an Inclined Square Cavity Equipped with a Conductor Fin: Considering the Radiation Effect”, Int. J. Heat Mass Transf, Vol. 133 , pp. 256–267 , 2019.
[15]       Alkanhal, T. A., Sheikholeslami, M., Usman, M., Haq, R., Shafee, A., Al-Ahmadi, A. S., and Tlili, I. “Thermal Management of MHD Nanofluid within the Porous Medium Enclosed in a Wavy Shaped Cavity with Square Obstacle in the Presence Of Radiation Heat Source”, Int. J. Heat Mass Transf, Vol. 139 , pp. 87–94 , 2019.
[16]       Yaghoubi Emami, R., Siavashi, M., and Shahriari Moghaddam, G. “The Effect of Inclination Angle and Hot Wall Configuration on Cu-Water Nanofluid Natural Convection inside a Porous Square Cavity”, Adv. Powder Technol, Vol. 29 , pp. 519–536 , 2018.
[17]       Xu, D., Hu, Y., and Li, D. “A Lattice Boltzmann Investigation of Two-Phase Natural Convection of Cu-Water Nanofluid in a Square Cavity”, Case Stud. Therm. Eng, Vol. 13 , pp. 100358 , 2019.
[18]       Wang, L., Yang, X., Huang, C., Chai, Z., and Shi, B. “Hybrid Lattice Boltzmann-TVD Simulation of Natural Convection of Nanofluids in a Partially Heated Square Cavity Using Buongiorno’s Model”, Appl. Therm. Eng, Vol. 146 , pp. 318–327 , 2019.
[19]       Hemmat Esfe, M., Toghraie, D., Esfandeh, S., and Alidoust, S. “Measurement of Thermal Conductivity of Triple Hybrid Water Based Nanofluid Containing MWCNT (10%)-Al2O3 (60%)-ZnO (30%) Nanoparticles. Colloids and Surfaces.”, Physicochemical and Engineering Aspects, 647, 129083, 2022.
[20]       Alsabery, A. I., Ismael, M. A., Chamkha, A. J., and Hashim, I. “Mixed Convection of Al2O3 -Water Nanofluid in a Double Lid-Driven Square Cavity With a Solid Inner Insert Using Buongiorno’s Two-Phase Model”, Int. J. Heat Mass Transf, Vol. 119 , pp. 939–961 , 2018.
[21]       Al-Rashed, A., Aich, W., Kolsi, L., Mahian, O., Hussein, A., and Borjini, M. “Effects of Movable-Baffle on Heat Transfer and Entropy Generation in a Cavity Saturated by CNT Suspensions: Three-Dimensional Modeling”, Entropy, Vol. 19 , pp. 200 , 2017.
[22]       Ambarita, H., Kishinami, K., Daimaruya, M., Saitoh, T., Takahashi, H., and Suzuki, J. “Laminar Natural Convection Heat Transfer in an Air Filled Square Cavity with Two Insulated Baffles Attached to its Horizontal Walls”, Therm. Sci. Eng, Vol.14 , pp. 35–46 , 2006.
[23]       Hemmat Esfe, M., Bahiraei, M., Torabi, A., and Valadkhani, M. “A Critical Review on Pulsating Flow in Conventional Fluids and Nanofluids.”, Thermohydraulic Characteristics. International Communications in Heat and Mass Transfer, 120, 104859, 2021.
[24]       Abu-Nada, E. and Chamkha, A. J. “Mixed Convection Flow in a Lid-Driven Inclined Square Enclosure Filled with a Nanofluid”, Eur. J. Mech. B/Fluids, Vol. 29 , pp. 472–482 , 2010.
[25]       Talebi, F., Mahmoudi, A. H., and Shahi, M. “Numerical Study of Mixed Convection Flows in a Square Lid-Driven Cavity Utilizing Nanofluid”, Int. Commun. Heat Mass Transf, Vol. 37 , pp. 79–90 , 2010.
[26]       Hemmat Esfe, M., Abbasian Arani, A. A., Niroumand, A. H., Yan, W. M., and Karimipour, A. “Mixed Convection Heat Transfer from Surface-Mounted Block Heat Sources in a Horizontal Channel with Nanofluids”, Int. J. Heat Mass Transf, Vol. 89 , pp. 783–791 , 2022.
[27]       Karimi, F., Xu, H., Wang, Z., Yang, M., and Zhang, Y. “Numerical Simulation of Steady Mixed Convection Around two Heated Circular Cylinders in a Square Enclosure”, Heat Transf. Eng, Vol. 37 , pp. 64–75 , 2016.
[28]       Wei, Y., Dou, H.-S., Wang, Z., Qian, Y., and Yan, W. “Simulations of Natural Convection Heat Transfer in an Enclosure at Different Rayleigh Number Using Lattice Boltzmann Method”, Comput. Fluids, Vol. 124 , pp. 30–38 , 2016.
[29]       Rahmati, A. R. and Tahery, A. A. “Numerical Study of Nanofluid Natural Convection in a Square Cavity with a Hot Obstacle Using Lattice Boltzmann Method”, Alexandria Eng. J, Vol. 57 , pp. 1271–1286 , 2018.
[30]       Ma, Y., Mohebbi, R., Rashidi, M. M., Yang, Z., and Sheremet, M. A. “Numerical Study of MHD Nanofluid Natural Convection in a Baffled U-Shaped Enclosure”, Int. J. Heat Mass Transf, Vol. 130 , pp. 123–134 , 2019.
[31]       Selimefendigil, F. and Öztop, H. F. “MHD Mixed Convection of Nanofluid in a Flexible Walled Inclined Lid-Driven L-Shaped Cavity Under the Effect of Internal Heat Generation”, Phys. A Stat. Mech. Its Appl, Vol. 534 , pp. 122144 , 2019.
[32]       Fard, A. H., Hooshmand, P., Mohammaei, M., and Ross, D. “Numerical Study on Free Convection in a U-Shaped CuO/Water Nanofluid-Filled Cavity with Different Aspect Ratios Using Double-MRT Lattice Boltzmann”, Therm. Sci. Eng Prog, Vol. 14 , pp. 100373 , 2019.
[33]       Kapil, M., Roy, D., Sharma, B., Rana, S. C., Pramanik, S., and Barman, R. N. “A Numerical Study of 2-D Convective Heat Transfer of Nanofluid (Al2O3/H2O) in a Lid Driven Cavity with Square Cylinder at the Centre”, Mater. Today Proc, Vol. 11, pp. 700–707 , 2019.
[34]       Hadavand, M., Yousefzadeh, S., Akbari, O. A., Pourfattah, F., Nguyen, H. M., and Asadi, A. “A Numerical Investigation on the Effects of Mixed Convection of Ag-Water Nanofluid Inside a Sim-Circular Lid-Driven Cavity on the Temperature of an Electronic Silicon Chip”, Appl. Therm. Eng, Vol. 162, pp. 114298 , 2019.
[35]       Brinkman, H. C. “The Viscosity of Concentrated Suspensions and Solutions”, J. Chem. Phys, Vol. 20 , pp. 571–571 , 1952.
[36]       Hemmat Esfe, M., Afrand, M., Yan, W. M., and Akbari, M. “Applicability of Artificial Neural Network and Nonlinear Regression to Predict Thermal Conductivity Modeling of Nanofluids Using Experimental Data”, Int. Commun. Heat Mass Transf, Vol. 66 , pp. 246–249 , 2015.
[37]       Versteeg, H. K. and Malalasekera, W. “An Introduction to Computational Fluid Dynamics”, The Finite Volume Method, Second, Pearson Education, 2007.
[38]       Markatos, N. C. and Pericleous, K. A. “Laminar and Turbulent Natural Convection in an Enclosed Cavity”, Int. J. Heat Mass Transf, Vol. 27, pp. 755–772 , 1984.
[39]       Khanafer, K. M., Al-Amiri, A. M., and Pop, I. “Numerical Simulation of Unsteady Mixed Convection in a Driven Cavity Using an Externally Excited Sliding Lid”, Eur. J. Mech. B/Fluids, Vol. 26 , pp. 669–687 , 2007.
[40]       Tiwari, R. K. and Das, M. K. “Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids”, Int. J. Heat Mass Transf, Vol. 50 , pp. 2002–2018 , 2007.
[41]       Iwatsu, R., Hyun, J. M., and Kuwahara, K. “Mixed Convection in a Driven Cavity with a Stable Vertical Temperature Gradient”, Int. J. Heat Mass Transf, Vol. 36 , pp. 1601–1608 , 1993.

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History

  • Receive Date: 20 November 2022
  • Revise Date: 20 January 2023
  • Accept Date: 29 January 2023
  • Publish Date: 02 March 2023

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