Research Papers

Computational Analysis of Nanofluid Cooling of High Concentration Photovoltaic Cells

[+] Author and Article Information
Z. Xu

Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
911 Oval Drive,
Raleigh, NC 27695

C. Kleinstreuer

Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
911 Oval Drive,
Raleigh, NC 27695
e-mail: ck@ncsu.edu

1Corresponding author.

Manuscript received June 5, 2013; final manuscript received December 17, 2013; published online March 17, 2014. Assoc. Editor: S. A. Sherif.

J. Thermal Sci. Eng. Appl 6(3), 031009 (Mar 17, 2014) (9 pages) Paper No: TSEA-13-1123; doi: 10.1115/1.4026355 History: Received June 05, 2013; Revised December 17, 2013

High concentration photovoltaic devices require effective heat rejection to keep the solar cells within a suitable temperature range and to achieve acceptable system efficiencies. Various techniques have been developed to achieve these goals. For example, nanofluids as coolants have remarkable heat transfer characteristics with broad applications; but, little is known of its performance for concentration photovoltaic cooling. Generally, a cooling system should be designed to keep the system within a tolerable temperature range, to minimize energy waste, and to maximize system efficiency. In this paper, the thermal performance of an Al2O3-water cooling system for densely packed photovoltaic cells under high concentration has been computationally investigated. The model features a representative 2D cooling channel with photovoltaic cells, subject to heat conduction and turbulent nanofluid convection. Considering a semi-empirical nanofluid model for the thermal conductivity, the influence of different system design and operational parameters, including required pumping power, on cooling performance and improved system efficiency has been evaluated. Specifically, the varied system parameters include the nanoparticle volume fraction, the inlet Reynolds number, the inlet nanofluid temperature, and different channel heights. Optimal parameter values were found based on minimizing the system's entropy generation. Considering a typical 200-sun concentration, the best performance can be achieved with a channel of 10 mm height and an inlet Reynolds number of around 30,000, yielding a modest system efficiency of 20%. However, higher nanoparticle volume fractions and lower nanofluid inlet temperatures further improve the cell efficiency. For a more complete solar energy use, a combined concentration photovoltaic and thermal heating system are suggested.

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Pearce, J. M., 2002, “Photovoltaics—A Path to Sustainable Futures,” Futures, 34(7), pp. 663–674. [CrossRef]
Chow, T. T., 2010, “A Review on Photovoltaic/Thermal Hybrid Solar Technology,” Appl. Energy, 87(2), pp. 365–379. [CrossRef]
Sala, G., 1989, “Cooling of Solar Cells,” Solar Cells and Optics for Photovoltaic Concentration, A.Luque and G. L.Araújo, eds., Adam Hilger- IOP Publishing, Bristol, UK, pp. 239–267.
Royne, A., Dey, C. J., and Mills, D. R., 2005, “Cooling of Photovoltaic Cells Under Concentrated Illumination: A Critical Review,” Sol. Energy Mater. Sol. C., 86(4), pp. 451–483. [CrossRef]
Du, B., Hu, E., and Kolhe, M., 2012, “Performance Analysis of Water Cooled Concentrated Photovoltaic (CPV) System,” Renew. Sust. Energ. Rev., 16(9), pp. 6732–6736. [CrossRef]
Barrau, J., Rosell, J., Chemisana, D., Tadrist, L., and Ibañez, M., 2011, “Effect of a Hybrid Jet Impingement/Micro-Channel Cooling Device on the Performance of Densely Packed PV Cells Under High Concentration,” Sol. Energy, 85(11), pp. 2655–2665. [CrossRef]
Ho, T., Mao, S. S., and Greif, R., 2010, “Improving Efficiency of High-Concentrator Photovoltaics by Cooling With Two-Phase Forced Convection,” Int. J. Energ. Res., 34(14), pp. 1257–1271.
Zhu, L., Boehm, R. F., Wang, Y., Halford, C., and Sun, Y., 2011, “Water Immersion Cooling of PV Cells in a High Concentration System,” Sol. Energy Mater. Sol. C., 95(2), pp. 538–545. [CrossRef]
Han, X., Wang, Y., and Zhu, L., 2013, “The Performance and Long-Term Stability of Silicon Concentrator Solar Cells Immersed in Dielectric Liquids,” Energ. Convers. Manage., 66, pp. 189–198. [CrossRef]
Müller, M., Escher, W., Ghannam, R., Goicochea, J., Michel, B., Ong, C. L., and Paredes, S., 2011, “Ultra‐High‐Concentration Photovoltaic‐Thermal Systems Based on Microfluidic Chip‐Coolers,” AIP Conf. Proc., 1407, pp. 231–234. [CrossRef]
Micheli, L., Sarmah, N., Luo, X., Reddy, K. S., and Mallick, T. K., 2013, “Opportunities and Challenges in Micro-and Nano-Technologies for Concentrating Photovoltaic Cooling: A Review,” Renew. Sust. Energ. Rev., 20, pp. 595–610. [CrossRef]
Kleinstreuer, C., Li, J., and Feng, Y., 2013, “Advances in Numerical Heat Transfer,” Nanoparticle Heat Transfer and Fluid Flow, Vol. 4, W. J.Minkowycz, E. M. Sparrow, and J. P. Abraham, eds., CRC Press, Boca Raton, FL.
Mahian, O., Kianifar, A., Kalogirou, S. A., Pop, I., and Wongwises, S., 2013, “A Review of the Applications of Nanofluids in Solar Energy,” Int. J. Heat Mass Transfer, 57(2), pp. 582–594. [CrossRef]
Elmir, M., Mehdaoui, R., and Mojtabi, A., 2012, “Numerical Simulation of Cooling a Solar Cell by Forced Convection in the Presence of a Nanofluid,” Energy Procedia, 18, pp. 594–603. [CrossRef]
Wasp, F. J., 1977, Solid-Liquid Slurry Pipeline Transportation, Trans. Tech., Berlin.
Mahian, O., Kianifar, A., Kleinstreuer, C., Al-Nimr, M. A., Pop, I., Sahin, A. Z., and Wongwises, S., 2013, “A Review of Entropy Generation in Nanofluid Flow,” Int. J. Heat Mass Transfer, 65, pp. 514–532. [CrossRef]
Kim, D., Kwon, Y., Cho, Y., Li, C., Cheong, S., Hwang, Y., and Moon, S., 2009, “Convective Heat Transfer Characteristics of Nanofluids Under Laminar and Turbulent Flow Conditions,” Curr. Appl. Phys., 9(2), pp. e119–e123. [CrossRef]
Namburu, P. K., Das, D. K., Tanguturi, K. M., and Vajjha, R. S., 2009, “Numerical Study of Turbulent Flow and Heat Transfer Characteristics of Nanofluids Considering Variable Properties,” Int. J. Thermal Sci., 48(2), pp. 290–302. [CrossRef]
Demir, H., Dalkilic, A. S., Kürekci, N. A., Duangthongsuk, W., and Wongwises, S., 2011, “Numerical Investigation on the Single Phase Forced Convection Heat Transfer Characteristics of TiO2 Nanofluids in a Double-Tube Counter Flow Heat Exchanger,” Int. Commun. Heat Mass Transfer, 38(2), pp. 218–228. [CrossRef]
Menter, F. R., 1994, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J., 32(8), pp. 1598–1605. [CrossRef]
Ge, S., and Na, H., 1989, Thermal Radiation Properties and Its Measurement, Science Press, Beijing, pp. 446–451 (in Chinese).
Evans, D. L., and Florschuetz, L. W., 1978, “Terrestrial Concentrating Photovoltaic Power System Studies,” Sol. Energy, 20(1), pp. 37–43. [CrossRef]
Skoplaki, E., and Palyvos, J. A., 2009, “On the Temperature Dependence of Photovoltaic Module Electrical Performance: A Review of Efficiency/Power Correlations,” Sol. Energy., 83(5), pp. 614–624. [CrossRef]
Li, J., and Kleinstreuer, C., 2010, “Entropy Generation Analysis for Nanofluid Flow in Microchannels,” ASME J. Heat Transfer, 132(12), p. 122401. [CrossRef]
Chon, C. H., Kihm, K. D., Lee, S. P., and Choi, S. U., 2005, “Empirical Correlation Finding the Role of Temperature and Particle Size for Nanofluid (AlO) Thermal Conductivity Enhancement,” Appl. Phys. Lett., 87, p. 153107. [CrossRef]
Feng, Y., and Kleinstreuer, C., 2012, “Thermal Nanofluid Property Model With Application to Nanofluid Flow in a Parallel Disk System—Part II: Nanofluid Flow Between Parallel Disks,” ASME J. Heat Transfer, 134(5), p. 051003. [CrossRef]
Fox, R. W., McDonald, A. T., and Pritchard, P. J., 2004, Introduction to Fluid Mechanics, 6th ed., Wiley, New York.
Ratts, E. B., and Raut, A. G., 2004, “Entropy Generation Minimization of Fully Developed Internal Flow With Constant Heat Flux,” ASME J. Heat Transfer, 126(4), pp. 656–659. [CrossRef]
Kleinstreuer, C., 2010, Modern Fluid Dynamics: Basic Theory and Selected Applications in Macro-and Micro-fluidics, Springer, New York.
Bejan, A., 1996, Entropy Generation Minimization: the Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes, CRC Press, Boca Raton, FL, Chap. 3.
Laufer, J., 1948, “Investigation of Turbulent Flow in a Two-Dimensional Channel,” Ph.D. thesis, http://thesis.library.caltech.edu/3549/
Lindgren, E. R., 1965, “Experimental Study on Turbulent Pipe Flows of Distilled Water,” Report No. 1 AD621071, Civil Eng. Dept., Oklahoma State University, Stillwater, OK.
Rohsenow, W. M., Hartnett, J. P., and Cho, Y. I., 1998, Handbook of Heat Transfer, McGraw-Hill, New York.
Sparrow, E. M., Hallman, T. M., and Siegel, R., 1957, “Turbulent Heat Transfer in the Thermal Entrance Region of a Pipe With Uniform Heat Flux,” Appl. Sci. Res., Section A, 7(1), pp. 37–52.
Coventry, J. S., 2005, “Performance of a Concentrating Photovoltaic/Thermal Solar Collector,” Sol. Energy, 78(2), pp. 211–222. [CrossRef]
Tyagi, V. V., Kaushik, S. C., and Tyagi, S. K., 2012, “Advancement in Solar Photovoltaic/Thermal (PV/T) Hybrid Collector Technology,” Renew. Sust. Energ. Rev., 16, pp. 1383–1398. [CrossRef]


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Fig. 1

Physical model of the CPV receiver and the cooling system

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Fig. 2

Simplified model of the cooling channel for the concentrator cell module

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Fig. 3

Equivalent thermal circuit of cell, mounting, and cooling system

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Fig. 4

Model validation of dimensionless velocity profile in fully developed region and in the near wall region. y+ = y·v*/ν and u+ = u¯/v* where v* = (τw/ρ)1/2

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Fig. 5

Comparison of axial Nusselt number ratio

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Fig. 6

Comparison of cell efficiencies using water and nanofluid cooling under different inlet Reynolds numbers

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Fig. 7

Cell efficiency versus nanoparticle volume fraction

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Fig. 8

Cell efficiency versus Reynolds number

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Fig. 9

Gross power output and input/output power ratio over Reynolds numbers

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Fig. 10

Cell efficiency versus nanofluid inlet temperature. The two cases with constant pumping powers adopt the reference pumping powers of Re = 4000, Tin = 25 °C case, and Re = 30,000, Tin = 25 °C case, respectively.

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Fig. 11

Pumping power comparison for varying channel heights

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Fig. 12

Thermal and frictional entropy-generation rate versus channel height

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Fig. 13

Waste power and system net power output under different channel heights

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Fig. 14

System entropy generation versus nanoparticle volume fraction

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Fig. 15

System entropy generation versus Reynolds number. h = 10 mm.

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Fig. 16

System entropy generation versus nanofluid inlet temperature

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Fig. 17

Illustration of a concentration photovoltaic/thermal system




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