RESEARCH ARTICLE
Numerical investigation of the effects of geometric parameters of heaters on mixed covection in a lid-driven cavity filled with different nanofluids
Mahmoud Salari,
Ali Mohammadtabar,
Mohammad Mohammadtabar,
Mahmoud Salari
Department of Mechanical Engineering, Imam Hussein University, Tehran, Iran
Search for more papers by this authorAli Mohammadtabar
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada
Search for more papers by this authorMohammad Mohammadtabar
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada
Search for more papers by this authorMahmoud Salari,
Ali Mohammadtabar,
Mohammad Mohammadtabar,
Mahmoud Salari
Department of Mechanical Engineering, Imam Hussein University, Tehran, Iran
Search for more papers by this authorAli Mohammadtabar
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada
Search for more papers by this authorMohammad Mohammadtabar
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada
Search for more papers by this authorAbstract
In this paper, the effects of the thicknesses and locations of two rectangular heaters, located on the bottom and one side of on an enclosure, on mixed convection of nanofluid flows in a lid-driven cavity are numerically investigated. The enclosure is simultaneously heated partially by these two heaters which have similar or different thicknesses and also filled with different nanofluids containing nanoparticles of Cu, Ag, Al2O3, and TiO2 within the base fluid of water. A finite volume approach by the SIMPLE algorithm is used to solve the governing equations. The effects of different Rayleigh numbers (
), Reynolds numbers (
), solid volume fractions (
), heater lengths (
), heater locations (
) and heater thicknesses (
) on the streamlines, isotherms and the average Nusselt number along two heaters are studied accurately. Also, variations of average Nusselt number of two heaters are considered whenever one heater is fixed and the other heater moves along on the wall. Moreover, variations of the length of one heater on the average Nusselt number are also studied whenever the length of the other heater is fixed. In addition, variations of the thickness of one heater on the average Nusselt number are studied whenever the thickness of the other heater is fixed.
REFERENCES
- 1Choi SUS. Enhancing thermal conductivity of fluids with nanoparticles, ASME 1995: Proc. Int. Mech. Eng. Cong. and Exposition, SanFrancisco, USA, ASME, FED231/MD66, pp. 99–105, 1995.
- 2Choi SUS, Zhang ZG, Yu W, Lockwood FE, Grulke, EA. Anomalously thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett. 2001; 79: 2252–2254.
- 3Khanafer K, Vafai K, Lightstone M. Buoyancy driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int J Heat Mass Transf. 2001; 46: 3639–3653.
- 4Jou RY, Tzeng, SC. Numerical research of nature convective heat transfer enhancement filled with nanofluids in rectangular enclosures. Int Commun Heat Mass Transf. 2006; 33: 727–736.
- 5Hwang KS, Lee JH, Jang SP. Buoyancy-driven heat transfer of water-based Al2O3 nanofluids in a rectangular cavity. Int J Heat Mass Transf. 2007; 50: 4003–4010.
- 6Oztop HF, Abu-Nada E. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow. 2008; 29: 1326–1336.
- 7Santra AK, Sen S, Chakraborty, N. Study of heat transfer characteristics of copper-water nanofluid in a differentially heated square cavity with different viscosity models. J Enhanc Heat Transfer. 2008; 15(4): 273–287.
- 8Ogut EB. Natural convection of water-based nanofluids in an inclined enclosure with a heat source. Int J Therm Sci. 2009; 48(11): 2063–2073.
- 9Ghasemi B, Aminossadati SM. Periodic natural convection in a nanofluid filled enclosure with oscillating heat flux. Int J Therm Sci. 2009; 49(1): 1–9.
- 10Abu-Nada E, Oztop H. Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid. Int J Heat Fluid Flow. 2009; 30: 669–678.
- 11Abu-Nada E, Masoud Z, Oztop H, Campo A. Effect of nanofluid variable properties on natural convection in enclosures. Int J Therm Sci. 2010; 49(3): 479–491.
- 12Alipanah M, Ranjbar AA, Farnad E, Alipanah F. Entropy generation of natural convection heat transfer in a square cavity using Al2O3–water nanofluid. Heat Trans Asian Res. 2015; 44: 641–656.
10.1002/htj.21141 Google Scholar
- 13Delavar MA, Hedayatpour M. Forced convection and entropy generation inside a channel with a heat-generating porous block. Heat Trans Asian Res. 2012; 41: 580–600.
10.1002/htj.21017 Google Scholar
- 14Mohammadpourfard M, Aminfar H, Ahangar Zonouzi S. Numerical investigation of the magnetic field effects on the entropy generation and heat transfer in a nanofluid filled cavity with natural convection. Heat Transf—Asian Res. 2016; https://doi.org/10.1002/htj.21222.
- 15Mahmoudi AH, Shahi M, Raouf AH. Modeling of conjugated heat transfer in a thick walled enclosure filled with nanofluid. Int Comm Heat Mass Transf. 2011; 38: 119–127.
10.1016/j.icheatmasstransfer.2010.10.001 Google Scholar
- 16Aminossadati SM, Ghasemi B. Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure. Eur J Mech B Fluids. 2009; 28: 630–640.
- 17Mahmoudi AH, Shahi M, Raouf AH, Ghasemian A. Numerical study of natural convection cooling of horizontal heat source mounted in a square cavity filled with nanofluid. Int Comm Heat Mass Transf. 2010; 37: 1135–1141.
- 18Ouertatani N, Ben Cheikh N, Beyaa BB, Lilia T, Campo A. Mixed convection in a double lid-driven cubic cavity. Int J Therm Sci. 2009; 48: 1265–1272.
- 19Tiwari RK, Das MK. Heat transfer augmentation in two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf. 2007; 50: 2002–2018.
- 20Muthtamilselvan M, Kandaswamy P, Lee J. Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Commun Nonlinear Sci Numer Simul. 2009; 15(6): 1501–1510.
- 21Mansour MA, Mohamed RA, Abd-Elaziz MM, Ahmed SE. Numerical simulation of mixed convection flows in a square lid-driven cavity partially heated from below using nanofluid. Int Comm Heat Mass Transf. 2010; 37: 1504–1512.
- 22Abu-Nada E, Chamkha AJ. Mixed convection flow in a lid-driven inclined square enclosure filled with a nanofluid. Euro J Mech B/Fluids. 2010; 29: 472–482.
- 23Talebi F, Mahmoudi AH, Shahi M. Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid. Int Comm Heat Mass Transf. 2010; 37: 79–90.
- 24Salari M, Tabar MM, Tabar AM, Danesh HA. Mixed convection of nanofluid flows in a square lid-driven cavity heated partially from both the bottom and side walls. Num Heat Transf Part A. 2012; 62: 158–177.
- 25Brinkman HC. The viscosity of concentrated suspensions and solution. J Chem Phys. 1952; 20: 571–581.
- 26Patankar VSV. Numerical heat transfer and fluid flow, Hemisphere Publishing Corporation, Washington–New York–London. McGraw Hill Book Company, New York 1980. 1. Aufl., 197 S., 76 Abb., geb., DM 71,90. https://doi.org/10.1002/cite.330530323, Volume 53, Issue 3, page 225, 1981.
- 27Iwatsu R, Hyun J, Kuwahara K. Mixed convection in a driven cavity with a stable vertical temperature gradient. Int J Heat Mass Transfer. 1993; 36: 1601–1608.
- 28Khanafer K, Chamkha AJ. Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium. Int J Heat Mass Transfer. 1999; 42: 2465–2481.
- 29Salari M, Rezvani A, Mohammadtabar A, Mohammadtabar M. Numerical study of entropy generation for natural convection in rectangular cavity with circular corners. Heat Transf Eng. 2015; 36(2): 186–199.
10.1080/01457632.2014.909221 Google Scholar
- 30Salari M, Mohammadtabar A, Mohammadtabar M. Effects of circular corners and aspect-ratio on entropy generation due to natural convection of nanofluid flows in rectangular cavities. Ther Sci. 2015; 19(5): 1621–1632.
- 31Selimefendigil F, O¨ztop HF. MHD mixed convection of nanofluid filled partially heated triangular enclosure with a rotating adiabatic cylinder. J Taiwan Inst Chem Eng. 2014; 45(5): 2150–2162.
- 32Selimefendigil F, O¨ztop HF. Influence of inclination angle of magnetic field on mixed convection of nanofluid flow over a backward facing step and entropy generation. Adv Powder Technol. 2015; 26(6): 1663–1675.
10.1016/j.apt.2015.10.002 Google Scholar
- 33Selimefendigil F, O¨ztop HF, Abu-Hamdeh N. Mixed convection due to rotating cylinder in an internally heated and flexible walled cavity filled with SiO2–water nanofluids: effect of nanoparticle shape. Int Commun Heat Mass Transf. 2016; 71: 9–19.
- 34Shirvan KM, Ellahi R, Mamourian M, Moghiman M. Effects of wavy surface characteristics on natural convection heat transfer in a cosine corrugated square cavity filled with nanofluid. Int J Heat Mass Transf. 2017; 107: 1110–1118.
- 35Mamourian M, Shirvan KM, Pop I. Sensitivity analysis for MHD effects and inclination angles on natural convection heat transfer and entropy generation of Al2O3-water nanofluid in square cavity by Response Surface Methodology. Int Commun Heat Mass Transf. 2016; 79: 46–57.
- 36Mohammadtabar M, Mohammadtabar F, Shokri R, Sadrzadeh M. Numerical investigation of the entropy generation due to natural convection in a partially heated square cavity filled with nanofluids. Heat Transf Eng. 2017; 38(17): 1506–1521. http://doi.org/10.1080/01457632.2016.1255092
10.1080/01457632.2016.1255092 Google Scholar
- 37Mamourian M, Shirvan KM, Ellahi R, Rahimi AB. Optimization of mixed convection heat transfer with entropy generation in a wavy surface square lid-driven cavity by means of Taguchi approach. Int J Heat Mass Transf. 2017; 102: 544–554.
