Abstract
In this study, three-dimensional heat transfer and flow characteristics of hybrid nanofluids under turbulent flow condition in a parabolic trough solar collector (PTC) receiver has been investigated. Ag–ZnO/Syltherm 800, Ag–TiO2/Syltherm 800, and Ag–MgO/Syltherm 800 hybrid nanofluids with 1.0%, 2.0%, 3.0%, and 4.0% nanoparticle volume fractions are used as working fluids. Reynolds number is between 10,000 and 80,000. The temperature of the fluid is taken as 500 K. The C++ homemade code has been written for the nonuniform heat flux boundary condition for the outer surface of the receiver. Variations of thermal efficiency, heat transfer coefficient, friction factor, PEC number, Nusselt number, and temperature distribution are presented for three different types of hybrid nanofluids and four different nanoparticle volume fractions with different Reynolds numbers. Also, the graphs of the average percent increase according to Syltherm 800 are given for the working parameters. According to the results of the study, all hybrid nanofluids are found to provide superiority over the base fluid (Syltherm 800) with respect to heat transfer and flow features. Heat transfer augments with the growth of Reynolds number and nanoparticle volume fraction. Thermal efficiency, which is one of the important parameters for PTC, decreases with increasing Reynolds number and increases with the increasing volume fraction of nanoparticle. It is obtained that the most efficient working fluid for the PTC receiver is the Ag–MgO/Syltherm 800 hybrid nanofluid with 4.0% nanoparticle volume fraction.
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Abbreviations
- A :
-
Area (m2)
- k :
-
Turbulent kinetic energy (m2 s−2)
- C p :
-
Specific heat (J kg−1 K−1)
- \(u_{\rm i}\), \(u_{\rm j}\) :
-
Averaged velocity components (m s−1)
- x, y, z :
-
Cartesian coordinates (m)
- P :
-
Pressure (Pa)
- \(- \rho \overline{{u_{\rm i}^{\prime} u_{\rm j}^{\prime} }}\) :
-
Reynolds stress (N m−2)
- \(x_{\rm i}\), \(x_{\rm j}\) :
-
Spatial coordinates (m)
- T :
-
Temperature (K)
- k r :
-
Thermal conductivity of the receiver material (W m−1 K−1)
- f :
-
Friction factor
- Re:
-
Reynolds number
- Nu:
-
Nusselt number
- h :
-
Heat transfer coefficient (W m−2 K−1)
- \(u^{\prime}\), \(v^{\prime}\), \(w^{\prime}\) :
-
Fluctuations of velocity (m s−1)
- \(G_{\rm k}\) :
-
Generation of turbulent kinetic energy due to mean velocity gradients (kg m−1 s−3)
- \(C_{1}\), \(C_{2}\), \(C_{\upmu }\) :
-
Turbulent model constants
- \(S_{\rm ij}\) :
-
Rate of linear deformation tensor (s−1)
- S :
-
Modulus of the mean rate of strain tensor (s−1)
- \(u\), \(v\), \(w\) :
-
Velocity components (m s−1)
- \(q^{\prime\prime}\) :
-
Heat flux (W m−2)
- I :
-
Direct normal irradiance (W m−2)
- d :
-
Receiver diameter (m)
- \(\Delta P\) :
-
Pressure difference (Pa)
- L :
-
Length of the receiver (m)
- \(\dot{m}\) :
-
Mass flow rate (kg s−1)
- Pr:
-
Prandtl number
- θ :
-
Circumferential angle of receiver (°)
- θ r :
-
Rim angle (°)
- ρ :
-
Density (kg m−3)
- \(\mu\) :
-
Viscosity (Pa s)
- \(\delta_{\rm ij}\) :
-
Kronecker delta
- λ :
-
Fluid thermal conductivity (W m−1 K−1)
- \(\sigma_{\rm h,t}\) :
-
Turbulent Prandtl number for energy
- \(\mu_{\rm t}\) :
-
Eddy viscosity (Pa s)
- ε :
-
Turbulent dissipation rate (m2 s−3)
- \(\sigma_{\rm k}\) :
-
Turbulent Prandtl number for k
- \(\sigma_{\upvarepsilon }\) :
-
Turbulent Prandtl number for ε
- \(v\) :
-
Kinematic viscosity (m2 s−1)
- \(\eta\) :
-
Turbulence model parameter
- \(\eta_{\text{ter}}\) :
-
Thermal efficiency
- \(\phi\) :
-
Nanoparticle volume fraction
- p:
-
Aperture
- i:
-
Inlet
- f:
-
Fluid
- eff:
-
Effective
- hnf:
-
Hybrid nanoparticle
- p1, p2:
-
Nanoparticle
- i, j, k:
-
Spatial indices
- inner:
-
Receiver inner surface
- w:
-
Wall
- b:
-
Bulk
- o:
-
Outlet
- ′:
-
Fluctuation from average value
- –:
-
Time-averaged value
References
Bellos E, Tzivanidis C. Enhancing the performance of evacuated and non-evacuated parabolic trough collectors using twisted tape inserts, perforated plate inserts and internally finned absorber. Energies. 2018;11:1129.
Kumaresan G, Sudhakar P, Santosh R, Velraj R. Experimental and numerical studies of thermal performance enhancement in the receiver part of solar parabolic trough collectors. Renew Sustain Energy Rev. 2017;77:1363–74.
Mahian O, Kianifar A, Kalogirou SA, Pop I, Wongwises S. A review of the applications of nanofluids in solar energy. Int J Heat Mass Transf. 2013;57:582–94.
Xuan Y, Li Q. Heat transfer enhancement of nanofluids. Int J Heat Fluid Flow. 2000;21:58–64.
Sajid MU, Ali HM. Thermal conductivity of hybrid nanofluids: a critical review. Int J Heat Mass Transf. 2018;126:211–34.
Mahian O, Kianifar A, Sahin AZ, Wongwises S. Entropy generation during Al2O3/water nanofluid flow in a solar collector: effects of tube roughness, nanoparticle size, and different thermophysical models. Int J Heat Mass Transf. 2014;78:64–75.
Sajid MU, Ali HM, Sufyan A, Rashid D, Zahid SU, Rehman WU. Experimental investigation of TiO2–water nanofluid flow and heat transfer inside wavy mini-channel heat sinks. J Therm Anal Calorim. 2019;137:1279–94.
Shahsavar A, Saghafian M, Salimpour MR, Shafii MB. Effect of temperature and concentration on thermal conductivity and viscosity of ferrofluid loaded with carbon nanotubes. Heat Mass Transf. 2016;52:2293–301.
Shahsavar A, Salimpour MR, Saghafian M, Shafii MB. An experimental study on the effect of ultrasonication on thermal conductivity of ferrofluid loaded with carbon nanotubes. Thermochim Acta. 2015;617:102–10.
Shahsavar A, Salimpour MR, Saghafian M, Shafii MB. Effect of magnetic field on thermal conductivity and viscosity of a magnetic nanofluid loaded with carbon nanotubes. J Mech Sci Technol. 2016;30:809–15.
Shahsavar A, Saghafian M, Salimpour MR, Shafii MB. Experimental investigation on laminar forced convective heat transfer of ferrofluid loaded with carbon nanotubes under constant and alternating magnetic fields. Exp Therm Fluid Sci. 2016;76:1–11.
Wahab A, Hassan A, Qasim MA, Ali HM, Babar H, Sajid MU. Solar energy systems—potential of nanofluids. J Mol Liq. 2019;289:111049.
Ali H, Babar H, Shah T, Sajid M, Qasim M, Javed S. Preparation techniques of TiO2 nanofluids and challenges: a review. Appl Sci. 2018;8:587.
Amina B, Miloud A, Samir L, Abdelylah B, Solano JP. Heat transfer enhancement in a parabolic trough solar receiver using longitudinal fins and nanofluids. J Therm Sci. 2016;25:410–7.
Bretado de los Rios MS, Rivera-Solorio CI, García-Cuéllar AJ. Thermal performance of a parabolic trough linear collector using Al2O3/H2O nanofluids. Renew Energy. 2018;122:665–73.
Ghasemi SE, Ranjbar AA. Thermal performance analysis of solar parabolic trough collector using nanofluid as working fluid: a CFD modelling study. J Mol Liq. 2016;222:159–66.
Kaloudis E, Papanicolaou E, Belessiotis V. Numerical simulations of a parabolic trough solar collector with nanofluid using a two-phase model. Renew Energy. 2016;97:218–29.
Khakrah H, Shamloo A, Kazemzadeh HS. Determination of parabolic trough solar collector efficiency using nanofluid: a comprehensive numerical study. J Sol Energy Eng. 2017;139:051006.
Mwesigye A, Huan Z, Meyer JP. Thermodynamic optimisation of the performance of a parabolic trough receiver using synthetic oil–Al2O3 nanofluid. Appl Energy. 2015;156:398–412.
Mwesigye A, Huan Z, Meyer JP. Thermal performance and entropy generation analysis of a high concentration ratio parabolic trough solar collector with Cu-Therminol®VP-1 nanofluid. Energy Convers Manag. 2016;120:449–65.
Alsarraf J, Rahmani R, Shahsavar A, Afrand M, Wongwises S, Tran MD. Effect of magnetic field on laminar forced convective heat transfer of MWCNT–Fe3O4/water hybrid nanofluid in a heated tube. J Therm Anal Calorim. 2019;137:1809–25.
Shahsavar A, Godini A, Sardari PT, Toghraie D, Salehipour H. Impact of variable fluid properties on forced convection of Fe3O4/CNT/water hybrid nanofluid in a double-pipe mini-channel heat exchanger. J Therm Anal Calorim. 2019;137:1031–43.
Shahsavar A, Sardari PT, Toghraie D. Free convection heat transfer and entropy generation analysis of water–Fe3O4/CNT hybrid nanofluid in a concentric annulus. Int J Numer Methods Heat Fluid Flow. 2019;29:915–34.
Hemmat Esfe M, Alirezaie A, Rejvani M. An applicable study on the thermal conductivity of SWCNT–MgO hybrid nanofluid and price-performance analysis for energy management. Appl Therm Eng. 2017;111:1202–10.
Minea AA. Challenges in hybrid nanofluids behavior in turbulent flow: recent research and numerical comparison. Renew Sustain Energy Rev. 2017;71:426–34.
Minea AA. Hybrid nanofluids based on Al2O3, TiO2 and SiO2: numerical evaluation of different approaches. Int J Heat Mass Transf. 2017;104:852–60.
Moghadassi A, Ghomi E, Parvizian F. A numerical study of water based Al2O3 and Al2O3–Cu hybrid nanofluid effect on forced convective heat transfer. Int J Therm Sci. 2015;92:50–7.
Chamkha AJ, Miroshnichenko IV, Sheremet MA. Numerical analysis of unsteady conjugate natural convection of hybrid water-based nanofluid in a semicircular cavity. J Therm Sci Eng Appl. 2017;9:041004-1.
Nabil MF, Azmi WH, Hamid KA, Zawawi NNM, Priyandoko G, Mamat R. Thermo-physical properties of hybrid nanofluids and hybrid nanolubricants: a comprehensive review on performance. Int Commun Heat Mass Transf. 2017;83:30–9.
Sidik NAC, Adamu IM, Jamil MM, Kefayati GHR, Mamat R, Najafi G. Recent progress on hybrid nanofluids in heat transfer applications: a comprehensive review. Int Commun Heat Mass Transf. 2016;78:68–79.
Minea AA, El-Maghlany WM. Influence of hybrid nanofluids on the performance of parabolic trough collectors in solar thermal systems: recent findings and numerical comparison. Renew Energy. 2018;120:350–64.
Bellos E, Tzivanidis C. Thermal analysis of parabolic trough collector operating with mono and hybrid nanofluids. Sustain Energy Technol Assess. 2018;26:105–15.
Nohavica D, Gladkov P. ZnO nanoparticles and their applications-new achievements, Olomouc, Czech Republic. EU 2010;10:12–14
Leena M, Srinivasan S. Synthesis and ultrasonic investigations of titanium oxide nanofluids. J Mol Liq. 2015;206:103–9.
Menlik T, Sözen A, Gürü M, Öztaş S. Heat transfer enhancement using MgO/water nanofluid in heat pipe. J Energy Inst. 2015;88:247–57.
Behar O, Khellaf A, Mohammedi K. A novel parabolic trough solar collector model—validation with experimental data and comparison to engineering equation solver (EES). Energy Convers Manag. 2015;106:268–81.
Fernández-García A, Zarza E, Valenzuela L, Pérez M. Parabolic-trough solar collectors and their applications. Renew Sustain Energy Rev. 2010;14:1695–721.
Forristall R. Heat transfer analysis and modeling of a parabolic trough solar receiver implemented in engineering equation solver [Internet]. 2003 Oct. Report No.: NREL/TP-550-34169, 15004820. http://www.osti.gov/servlets/purl/15004820/.
Bellos E, Tzivanidis C, Tsimpoukis D. Thermal enhancement of parabolic trough collector with internally finned absorbers. Sol Energy. 2017;157:514–31.
Mwesigye A, Bello-Ochende T, Meyer JP. Heat transfer and thermodynamic performance of a parabolic trough receiver with centrally placed perforated plate inserts. Appl Energy. 2014;136:989–1003.
Gong X, Wang F, Wang H, Tan J, Lai Q, Han H. Heat transfer enhancement analysis of tube receiver for parabolic trough solar collector with pin fin arrays inserting. Sol Energy. 2017;144:185–202.
Kurşun B. Thermal performance assessment of internal longitudinal fins with sinusoidal lateral surfaces in parabolic trough receiver tubes. Renew Energy. 2019;140:816–27.
Ansys fluent 19 theory guide pdf [Internet]. [cited 2019 Sep 19]. http://drawer.ne.jp/wordpress/wp-content/uploads/2019/08/5cxu/ansys-fluent-19-theory-guide-pdf.html.
Versteeg HK, Malalasekera W. An introduction to computational fluid dynamics: the finite volume method. London: Pearson Education; 2007.
Pak BC, Cho YI. Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp Heat Transf. 1998;11:151–70.
Tayebi T, Chamkha AJ. Free convection enhancement in an annulus between horizontal confocal elliptical cylinders using hybrid nanofluids. Numer Heat Transf Part Appl. 2016;70:1141–56.
Brinkman HC. The viscosity of concentrated suspensions and solutions. J Chem Phys. 1952;20:571–571.
Maxwell JC. A treatise on electricity and magnetism. Oxford: Clarendon Press; 1881.
Wang P, Liu DY, Xu C. Numerical study of heat transfer enhancement in the receiver tube of direct steam generation with parabolic trough by inserting metal foams. Appl Energy. 2013;102:449–60.
Huang Z, Li Z-Y, Yu G-L, Tao W-Q. Numerical investigations on fully-developed mixed turbulent convection in dimpled parabolic trough receiver tubes. Appl Therm Eng. 2017;114:1287–99.
Ekiciler R, Arslan K. CuO/water nanofluid flow over microscale backward-facing step and heat transfer performance analysis. Heat Transf Res. 2018;49:1489–505.
Cheng ZD, He YL, Cui FQ. Numerical study of heat transfer enhancement by unilateral longitudinal vortex generators inside parabolic trough solar receivers. Int J Heat Mass Transf. 2012;55:5631–41.
Dittus FW, Boelter LMK. Heat transfer in automobile radiators of tubular type. Berkeley: University of California Press; 1930.
Gnielinski V. New equations for heat and mass transfer in turbulent pipe and channel flow. Int Chem Eng. 1976;16:359–68.
Petukhov BS. Heat transfer and friction in turbulent pipe flow with variable physical properties. Adv Heat Transf. 1970;6:503–64.
Blasius PRH. Das Aehnlichkeitsgesetz bei Reibungsvorgangen in Flüssigkeiten. Forschungsheft. 1913;1–41.
Jabbari F, Rajabpour A, Saedodin S. Viscosity of carbon nanotube/water nanofluid. J Therm Anal Calorim. 2019;135:1787–96.
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Ekiciler, R., Arslan, K., Turgut, O. et al. Effect of hybrid nanofluid on heat transfer performance of parabolic trough solar collector receiver. J Therm Anal Calorim 143, 1637–1654 (2021). https://doi.org/10.1007/s10973-020-09717-5
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DOI: https://doi.org/10.1007/s10973-020-09717-5