Abstract
Considering the influences of the heat transfer rate in automotive radiators on several aspects such as engine performance, fuel economy and available space for components, the present study numerically investigates the impacts of different nanofluids on the heat transfer and pressure drop in an automotive radiator. Four different parameters each having four levels are taken into consideration, which are nanoparticle volume fraction (\(\phi =0.1, 0.3, 0.7\), and 1%), Reynolds number (Re \(=\) 9350, 13,800, 18,500 and 23,000), type of base fluid (EG20, EG40, EG60, and water) and type of nanoparticle (\(\hbox {Fe}_{3}\hbox {O}_{4}\), CuO, \(\hbox {Al}_{2}\hbox {O}_{3}\), and \(\hbox {SiO}_{2})\). Taguchi method is employed for reducing the number of parameter combinations from 256 to 16. It is found that the nanofluid utilization improves heat transfer between 3.2 and 45.9% depending on the combination of the investigated parameters. Pressure drop is noticeably increased due to nanofluid utilization. Regarding the Taguchi optimization, using \(\hbox {Fe}_{3}\hbox {O}_{4}\)–water nanofluid with 0.3% volume fraction at Re \(=\) 9350 is the most appropriate option for a high heat transfer with relatively low pressure drop. It is concluded that the radiator size can be reduced by 10.8% by using nanofluids due to the improvement in heat transfer, which consequently allow a larger space to designers for placing other components.
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Abbreviations
- A :
-
Cross-sectional area of the tube (\(\hbox {m}^{2}\))
- \(C_\mathrm{f}\) :
-
Skin friction
- \(C_\mathrm{p}\) :
-
Specific heat capacity (J/kg K)
- \(D_\mathrm{h}\) :
-
Hydraulic diameter of the tube (m)
- \(d_\mathrm{p}\) :
-
Nanoparticle diameter (m)
- EG:
-
Ethylene glycol
- h :
-
Convective heat transfer coefficient (W/m\(^{2}\) K)
- k :
-
Thermal conductivity (W/m K)
- \(K_\mathrm{B}\) :
-
Boltzmann constant (J/K)
- l :
-
Tube length (m)
- V :
-
Average velocity (m/s)
- Nu :
-
Average Nusselt number
- P :
-
Pressure (Pa)
- Pr:
-
Prandtl number (\(\upmu \)C\(_\mathrm{p}/k\))
- \(P_\mathrm{t}\) :
-
Tube periphery (m)
- Re :
-
Reynolds number
- W :
-
Pumping power (W)
- \(\eta \) :
-
Effectiveness value
- \(\mu \) :
-
Viscosity (kg/m s)
- \(\rho \) :
-
Density (\(\hbox {kg}/\hbox {m}^{3}\))
- \(\tau \) :
-
Fluid shear force (N)
- \(\varphi \) :
-
Shape factor
- \(\phi \) :
-
Nanoparticle volume fraction (%)
- bf:
-
Base fluid
- p:
-
Particle
- nf:
-
Nanofluid
References
F. Abbas, H.M. Ali, T.R. Shah, H. Babar, M.M. Janjua, U. Sajjad, M. Amer, Nanofluid: potential evaluation in automotive radiator. J. Mol. Liq. (2020). https://doi.org/10.1016/j.molliq.2019.112014
M. Sankar, Numerical study of double diffusive convection in partially heated vertical open ended cylindrical annulus. Adv. Appl. Math. Mech. 2, 763–783 (2010). https://doi.org/10.4208/aamm.09-m0997
A. Shahsavar, P. Jha, M. Arici, G. Kefayati, A comparative experimental investigation of energetic and exergetic performances of water/magnetite nanofluid-based photovoltaic/thermal system equipped with finned and unfinned collectors. Energy. 220, 119714 (2021). https://doi.org/10.1016/j.energy.2020.119714
M. Jurčević, S. Nižetić, M. Arıcı, P. Ocłoń, Comprehensive analysis of preparation strategies for phase change nanocomposites and nanofluids with brief overview of safety equipment. J. Clean. Prod. 274, 122963 (2020). https://doi.org/10.1016/J.JCLEPRO.2020.122963
M. Sankar, M. Venkatachalappa, I.S. Shivakumara, Effect of magnetic field on natural convection in a vertical cylindrical annulus. Int. J. Eng. Sci. 44, 1556–1570 (2006). https://doi.org/10.1016/j.ijengsci.2006.06.004
N. Zhao, S. Li, J. Yang, A review on nanofluids: Data-driven modeling of thermalphysical properties and the application in automotive radiator. Renew. Sustain. Energy Rev. 66, 596–616 (2016). https://doi.org/10.1016/j.rser.2016.08.029
A. Kumar, S. Subudhi, Preparation, characterization and heat transfer analysis of nanofluids used for engine cooling. Appl. Therm. Eng. (2019). https://doi.org/10.1016/j.applthermaleng.2019.114092
Z. Said, M. El Haj Assad, A.A. Hachicha, E. Bellos, M.A. Abdelkareem, D.Z. Alazaizeh, B.A.A. Yousef, Enhancing the performance of automotive radiators using nanofluids. Renew. Sustain. Energy Rev. 112, 183–194 (2019). https://doi.org/10.1016/j.rser.2019.05.052
N.A.C. Sidik, M.N.A.W.M. Yazid, R. Mamat, Recent advancement of nanofluids in engine cooling system. Renew. Sustain. Energy Rev. 75, 137–144 (2017). https://doi.org/10.1016/j.rser.2016.10.057
M.B. Bigdeli, M. Fasano, A. Cardellini, E. Chiavazzo, P. Asinari, A review on the heat and mass transfer phenomena in nanofluid coolants with special focus on automotive applications. Renew. Sustain. Energy Rev. 60, 1615–1633 (2016). https://doi.org/10.1016/j.rser.2016.03.027
N. Arora, M. Gupta, An updated review on application of nanofluids in flat tubes radiators for improving cooling performance. Renew. Sustain. Energy Rev. (2020). https://doi.org/10.1016/j.rser.2020.110242
S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in Dev. ed. by D.A. Siginer, H.P. Wang (Appl Non-Newtonian Flows, New York, 1995), pp. 99–105
M. Sankar, N.K. Reddy, Y. Do, Conjugate buoyant convective transport of nanofluids in an enclosed annular geometry. Sci. Rep. 11, 1–22 (2021). https://doi.org/10.1038/s41598-021-96456-8
S. Umer Ilyas, R. Pendyala, M. Narahari, Experimental investigation of natural convection heat transfer characteristics in MWCNT-thermal oil nanofluid. J. Therm. Anal. Calorim. 135, 1197–1209 (2019). https://doi.org/10.1007/s10973-018-7546-7
K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transf. 46, 3639–3653 (2003). https://doi.org/10.1016/S0017-9310(03)00156-X
M.K. Abdolbaqi, C.S.N. Azwadi, R. Mamat, Heat transfer augmentation in the straight channel by using nanofluids. Case Stud. Therm. Eng. 3, 59–67 (2014). https://doi.org/10.1016/j.csite.2014.04.001
N. Hazeri-Mahmel, Y. Shekari, A. Tayebi, Three-dimensional analysis of forced convection of Newtonian and non-Newtonian nanofluids through a horizontal pipe using single- and two-phase models. Int. Commun. Heat Mass Transf. 121, 105119 (2021). https://doi.org/10.1016/j.icheatmasstransfer.2021.105119
H. Chen, X. Chen, Y. Wu, Y. Lu, X. Wang, C. Ma, Experimental study on forced convection heat transfer of KNO3-Ca(NO3)2 \(+\) SiO2 molten salt nanofluid in circular tube. Sol. Energy. 206, 900–906 (2020). https://doi.org/10.1016/j.solener.2020.06.061
H. Khorasanizadeh, M. Nikfar, J. Amani, Entropy generation of Cu-water nanofluid mixed convection in a cavity. Eur. J. Mech. B/Fluids. 37, 143–152 (2013). https://doi.org/10.1016/j.euromechflu.2012.09.002
F.Z. Bakhti, M. Si-Ameur, A comparison of mixed convective heat transfer performance of nanofluids cooled heat sink with circular perforated pin fin. Appl. Therm. Eng. 159, 113819 (2019). https://doi.org/10.1016/j.applthermaleng.2019.113819
M. Awais, N. Ullah, J. Ahmad, F. Sikandar, M.M. Ehsan, S. Salehin, A.A. Bhuiyan, Heat transfer and pressure drop performance of nanofluid: a state-of- the-art review. Int. J. Thermofluids. (2021). https://doi.org/10.1016/j.ijft.2021.100065
M. Gupta, V. Singh, R. Kumar, Z. Said, A review on thermophysical properties of nanofluids and heat transfer applications. Renew. Sustain. Energy Rev. 74, 638–670 (2017). https://doi.org/10.1016/j.rser.2017.02.073
M.U. Sajid, H.M. Ali, Thermal conductivity of hybrid nanofluids: a critical review. Int. J. Heat Mass Transf. 126, 211–234 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.021
S. Kakaç, A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Transf. 52, 3187–3196 (2009). https://doi.org/10.1016/j.ijheatmasstransfer.2009.02.006
O.A. Alawi, N.A.C. Sidik, H.W. Xian, T.H. Kean, S.N. Kazi, Thermal conductivity and viscosity models of metallic oxides nanofluids. Int. J. Heat Mass Transf. 116, 1314–1325 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.133
K.Y. Leong, R. Saidur, S.N. Kazi, A.H. Mamun, Performance investigation of an automotive car radiator operated with nanofluid-based coolants (nanofluid as a coolant in a radiator). Appl. Therm. Eng. 30, 2685–2692 (2010). https://doi.org/10.1016/j.applthermaleng.2010.07.019
R.S. Vajjha, D.K. Das, P.K. Namburu, Numerical study of fluid dynamic and heat transfer performance of Al2O3 and CuO nanofluids in the flat tubes of a radiator. Int. J. Heat Fluid Flow. 31, 613–621 (2010). https://doi.org/10.1016/j.ijheatfluidflow.2010.02.016
S.M. Peyghambarzadeh, S.H. Hashemabadi, S.M. Hoseini, M.S. Jamnani, Experimental study of heat transfer enhancement using water/ethylene glycol based nanofluids as a new coolant for car radiators. Int. Commun. Heat Mass Transf. 38, 1283–1290 (2011). https://doi.org/10.1016/j.icheatmasstransfer.2011.07.001
S.M. Peyghambarzadeh, S.H. Hashemabadi, M. Naraki, Y. Vermahmoudi, Experimental study of overall heat transfer coefficient in the application of dilute nanofluids in the car radiator. Appl. Therm. Eng. 52, 8–16 (2013). https://doi.org/10.1016/j.applthermaleng.2012.11.013
G. Huminic, A. Huminic, Numerical analysis of laminar flow heat transfer of nanofluids in a flattened tube. Int. Commun. Heat Mass Transf. 44, 52–57 (2013). https://doi.org/10.1016/j.icheatmasstransfer.2013.03.003
A.M. Hussein, R.A. Bakar, K. Kadirgama, K.V. Sharma, Heat transfer augmentation of a car radiator using nanofluids. Heat Mass Transf. Und Stoffuebertragung. 50, 1553–1561 (2014). https://doi.org/10.1007/s00231-014-1369-2
A.M. Hussein, R.A. Bakar, K. Kadirgama, Study of forced convection nanofluid heat transfer in the automotive cooling system. Case Stud. Therm. Eng. 2, 50–61 (2014). https://doi.org/10.1016/j.csite.2013.12.001
V. Delavari, S.H. Hashemabadi, CFD simulation of heat transfer enhancement of Al 2 O 3 /water and Al 2 O 3 /ethylene glycol nanofluids in a car radiator. Appl. Therm. Eng. 73, 380–390 (2014). https://doi.org/10.1016/j.applthermaleng.2014.07.061
A. Amiri, R. Sadri, M. Shanbedi, G. Ahmadi, S.N. Kazi, B.T. Chew, M.N.M. Zubir, Synthesis of ethylene glycol-treated Graphene Nanoplatelets with one-pot, microwave-assisted functionalization for use as a high performance engine coolant. Energy Convers. Manag. 101, 767–777 (2015). https://doi.org/10.1016/j.enconman.2015.06.019
G.A. Oliveira, E.M.C. Contreras, E.P.B. Filho, Experimental study on the heat transfer of MWCNT/water nanofluid flowing in a car radiator. Appl. Therm. Eng. 111, 1450–1456 (2017). https://doi.org/10.1016/j.applthermaleng.2016.05.086
A.S. Tijani, A.S.B. Sudirman, Thermos-physical properties and heat transfer characteristics of water/anti-freezing and Al2O3/CuO based nanofluid as a coolant for car radiator. Int. J. Heat Mass Transf. 118, 48–57 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2017.10.083
A. Kumar, M.A. Hassan, P. Chand, Heat transport in nanofluid coolant car radiator with louvered fins. Powder Technol. 376, 631–642 (2020). https://doi.org/10.1016/j.powtec.2020.08.047
F. Abbas, H.M. Ali, M. Shaban, M.M. Janjua, T.R. Shah, M.H. Doranehgard, M. Ahmadlouydarab, F. Farukh, Towards convective heat transfer optimization in aluminum tube automotive radiators: potential assessment of novel Fe2O3-TiO2/water hybrid nanofluid. J. Taiwan Inst. Chem. Eng. 124, 424–436 (2021). https://doi.org/10.1016/j.jtice.2021.02.002
X. Li, H. Wang, B. Luo, The thermophysical properties and enhanced heat transfer performance of SiC-MWCNTs hybrid nanofluids for car radiator system. Colloids Surf. A Physicochem. Eng. Asp. (2021). https://doi.org/10.1016/j.colsurfa.2020.125968
M.B. Hafeez, R. Amin, K.S. Nisar, W. Jamshed, A.H. Abdel-Aty, M.M. Khashan, Heat transfer enhancement through nanofluids with applications in automobile radiator. Case Stud. Therm. Eng. (2021). https://doi.org/10.1016/j.csite.2021.101192
K.R. Aglawe, R.K. Yadav, S.B. Thool, Preparation, applications and challenges of nanofluids in electronic cooling: a systematic review. Mater. Today Proc. (2021). https://doi.org/10.1016/j.matpr.2020.11.679
M. Sheikholeslami, S.A. Farshad, Z. Ebrahimpour, Z. Said, Recent progress on flat plate solar collectors and photovoltaic systems in the presence of nanofluid: a review. J. Clean. Prod. (2021). https://doi.org/10.1016/j.jclepro.2021.126119
O. Ogunleye, R.M. Singh, F. Cecinato, Assessing the thermal efficiency of energy tunnels using numerical methods and Taguchi statistical approach. Appl. Therm. Eng. 185, 116377 (2021). https://doi.org/10.1016/j.applthermaleng.2020.116377
J. Alinejad, K. Fallah, Taguchi optimization approach for three-dimensional nanofluid natural convection in a transformable enclosure. J. Thermophys. Heat Transf. 31, 211–217 (2017). https://doi.org/10.2514/1.T4894
A. Kazemian, A. Parcheforosh, A. Salari, T. Ma, Optimization of a novel photovoltaic thermal module in series with a solar collector using Taguchi based grey relational analysis. Sol. Energy. 215, 492–507 (2021). https://doi.org/10.1016/j.solener.2021.01.006
T. Dagdevir, V. Ozceyhan, Optimization of process parameters in terms of stabilization and thermal conductivity on water based TiO2 nanofluid preparation by using Taguchi method and Grey relation analysis. Int. Commun. Heat Mass Transf. 120, 105047 (2021). https://doi.org/10.1016/j.icheatmasstransfer.2020.105047
S. Maghsoodloo, G. Ozdemir, V. Jordan, C.H. Huang, Strengths and limitations of taguchi’s contributions to quality, manufacturing, and process engineering. J. Manuf. Syst. 23, 73–126 (2004). https://doi.org/10.1016/S0278-6125(05)00004-X
R. Pundir, G.H.V.C. Chary, M.G. Dastidar, Application of Taguchi method for optimizing the process parameters for the removal of copper and nickel by growing Aspergillus sp. Water Resour. Ind. 20, 83–92 (2018). https://doi.org/10.1016/j.wri.2016.05.001
M. Sheikholeslami, R. Ellahi, K. Vafai, Study of Fe3O4-water nanofluid with convective heat transfer in the presence of magnetic source. Alexandria Eng. J. 57, 565–575 (2018). https://doi.org/10.1016/j.aej.2017.01.027
H.F. Oztop, E. Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow. 29, 1326–1336 (2008). https://doi.org/10.1016/j.ijheatfluidflow.2008.04.009
R.S. Vajjha, D.K. Das, A review and analysis on influence of temperature and concentration of nanofluids on thermophysical properties, heat transfer and pumping power. Int. J. Heat Mass Transf. 55, 4063–4078 (2012). https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.048
R. Davarnejad, M. Jamshidzadeh, CFD modeling of heat transfer performance of MgO-water nanofluid under turbulent flow. Eng. Sci. Technol. Int. J. 18, 536–542 (2015). https://doi.org/10.1016/j.jestch.2015.03.011
L. Syam Sundar, E. Venkata Ramana, M.K. Singh, A.C.M. De Sousa, Viscosity of low volume concentrations of magnetic Fe3O4 nanoparticles dispersed in ethylene glycol and water mixture. Chem. Phys. Lett. 554, 236–242 (2012). https://doi.org/10.1016/j.cplett.2012.10.042
K.V. Sharma, S.K. Vandrangi, K. Habib, S. Kamal, Influence of ethylene glycol and water mixture ratio on Al\(_2\)O\(_3\) nanofluid turbulent forced convection heat transfer. Int. J. Sci. Eng. Res. 7, 124–132 (2016)
B.-X. Wang, L.-P. Zhou, X.-F. Peng, A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. Int. J. Heat Mass Transf. 46, 2665–2672 (2003). https://doi.org/10.1016/S0017-9310(03)00016-4
M. Corcione, Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids. Energy Convers. Manag. 52, 789–793 (2011). https://doi.org/10.1016/j.enconman.2010.06.072
N. Masoumi, N. Sohrabi, A. Behzadmehr, A new model for calculating the effective viscosity of nanofluids. J. Phys. D. Appl. Phys. 42, 055501 (2009). https://doi.org/10.1088/0022-3727/42/5/055501
Ç. Yıldız, M. Arıcı, S. Nižetić, A. Shahsavar, Numerical investigation of natural convection behavior of molten PCM in an enclosure having rectangular and tree-like branching fins. Energy (2020). https://doi.org/10.1016/j.energy.2020.118223
F. Moukalled, L. Mangani, M. Darwish, The finite volume method in computational fluid dynamics (2016)
V. Gnielinski, Wärmeübertragung bei der Strömung durch Rohre. In: VDI-Wärmeatlas. Springer, Berlin, pp 593–648 (2002). https://doi.org/10.1007/978-3-662-10743-0_7
M.W. Weiser, Taguchi method of experimental design in materials education. In: NASA Conf. Publ. 3201 Natl. Educ. Work. Updat. 92 Stand. Exp. Eng. Mater. Sci. Technol. (1993)
S.S. Pungaiah, C.K. Kailasanathan, Thermal analysis and optimization of nano coated radiator tubes using computational fluid dynamics and Taguchi method. Coatings (2020). https://doi.org/10.3390/COATINGS10090804
A. Razak Kaladgi, A. Afzal, A.M. Manokar, D. Thakur, U. Agbulut, S. Alshahrani, A. C. Saleel, R. Subbiah, Integrated Taguchi-GRA-RSM optimization and ANN modelling of thermal performance of zinc oxide nanofluids in an automobile radiator. Case Stud. Therm. Eng. (2021). https://doi.org/10.1016/j.csite.2021.101068
M. Naraki, S.M. Peyghambarzadeh, S.H. Hashemabadi, Y. Vermahmoudi, Parametric study of overall heat transfer coefficient of CuO/water nanofluids in a car radiator. Int. J. Therm. Sci. 66, 82–90 (2013). https://doi.org/10.1016/j.ijthermalsci.2012.11.013
C. Ekincioğlu, S. Boran, SMED methodology based on fuzzy Taguchi method. J. Enterp. Inf. Manag. 31, 867–878 (2018). https://doi.org/10.1108/JEIM-01-2017-0019
H.-H. Ting, S.-S. Hou, Numerical study of laminar flow and convective heat transfer utilizing nanofluids in equilateral triangular ducts with constant heat flux. Materials (Basel). 9, 576 (2016). https://doi.org/10.3390/ma9070576
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Yıldız, Ç., Kaptan, Ç., Arıcı, M. et al. Taguchi optimization of automotive radiator cooling with nanofluids. Eur. Phys. J. Spec. Top. 231, 2801–2819 (2022). https://doi.org/10.1140/epjs/s11734-022-00597-4
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DOI: https://doi.org/10.1140/epjs/s11734-022-00597-4