Abstract
The application of electronic diodes has greatly motivated the development of industrial engineering, while predictably, thermal rectifiers, as thermal manipulation devices, might have broad applications in the renewable energy engineering. Here, we report a significant thermal rectification phenomenon observed by using a thermal rectifier solid-state device comprising microstructured cellular biomorphic materials and by measuring the thermal conductivities in the forward and reverse directions over a wide temperature range. Our theoretical studies, based on analytical method and simulation of finite element method, attributed the asymmetry of thermal transition in opposite directions to the microstructured cellular size-gradient geometry. We further demonstrated that the thermal rectification phenomenon was only observed when the thermal conductivity of the filled materials showed monotonic temperature dependence. Our present work suggests a convenient and practical route to design a highly efficient thermal rectifier by increasing the cellular size gradient or using materials with larger thermal conductivity to temperature ratios.
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References
Starr C (1936) The copper oxide rectifier. Physics 7:15–19
Chumak K, Martynyak R (2012) Thermal rectification between two thermoelastic solids with a periodic array of rough zones at the interface. Int J Heat Mass Transf 55:5603–5608
dos Santos Bernardes MA (2014) Experimental evidence of the working principle of thermal diodes based on thermal stress and thermal contact conductance—thermal semiconductors. Int J Heat Mass Transf 73:354–357
Roberts NA, Walker DG (2011) Computational study of thermal rectification from nanostructured interfaces. J Heat Transf 133:092401. https://doi.org/10.1115/1.4003960
Xu W, Zhang G, Li B (2014) Interfacial thermal resistance and thermal rectification between suspended and encased single layer graphene. J Appl Phys 116:134303. https://doi.org/10.1063/1.4896733
Kobayashi W, Teraoka Y, Terasaki I (2009) An oxide thermal rectifier. Appl Phys Lett 95:171905. https://doi.org/10.1063/1.3253712
Terraneo M, Peyrard M, Casati G (2002) Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier. Phys Rev Lett 88:094302. https://doi.org/10.1103/PhysRevLett.88.094302
Li B, Wang L, Casati G (2004) Thermal diode: rectification of heat flux. Phys Rev Lett 93:184301. https://doi.org/10.1103/PhysRevLett.93.184301
Peyrard M (2006) The design of a thermal rectifier. Europhys Lett 76:49–55
Pereira E (2010) Thermal rectification in quantum graded mass systems. Phys Lett A 374:1933–1937
Pereira E (2011) Sufficient conditions for thermal rectification in general graded materials. Phys Rev E 83:031106. https://doi.org/10.1103/PhysRevE.83.031106
Wang J, Pereira E, Casati G (2012) Thermal rectification in graded materials. Phys Rev E 86:010101. https://doi.org/10.1103/PhysRevE.86.010101
Garcia-Garcia KI, Alvarez-Quintana J (2014) Thermal rectification assisted by lattice transitions. Int J Therm Sci 81:76–83
Huang J, Li Q, Zheng Z, Xuan Y (2013) Thermal rectification based on thermochromic materials. Int J Heat Mass Transf 67:575–580
Lee J, Varshney V, Roy AK, Ferguson JB, Farmer BL (2012) Thermal rectification in three-dimensional asymmetric nanostructure. Nano Lett 12:3491–3496
Loh GC, Baillargeat D (2014) A boron nitride nanotube peapod thermal rectifier. J Appl Phys 115:243501. https://doi.org/10.1063/1.4879828
Yang N, Zhang G, Li B (2009) Thermal rectification in asymmetric graphene ribbons. Appl Phys Lett 95:033107. https://doi.org/10.1063/1.3183587
Hu J, Ruan X, Chen YP (2009) Thermal conductivity and thermal rectification in graphene nanoribbons: a molecular dynamics study. Nano Lett 9:2730–2735
Hu M, Keblinski P, Li B (2008) Thermal rectification at silicon-amorphous polyethylene interface. Appl Phys Lett 92:211908. https://doi.org/10.1063/1.2937834
Zhang L, Yan Y, Wu C-Q, Wang J-S, Li B (2009) Reversal of thermal rectification in quantum systems. Phys Rev B 80:172301. https://doi.org/10.1103/PhysRevB.80.172301
Roberts NA, Walker DG (2011) A review of thermal rectification observations and models in solid materials. Int J Therm Sci 50:648–662
Tso CY, Chao CYH (2016) Solid-state thermal diode with shape memory alloys. Int J Heat Mass Transf 93:605–611
Alaghemandi M, Leroy F, Algaer E, Bohm MC, Muller-Plathe F (2010) Thermal rectification in mass-graded nanotubes: a model approach in the framework of reverse non-equilibrium molecular dynamics simulations. Nanotechnology 21:75704. https://doi.org/10.1088/0957-4484/21/7/075704
Chang CW, Okawa D, Majumdar A, Zettl A (2006) Solid-state thermal rectifier. Science 314:1121–1124
Liu Y-Y, Zhou W-X, Tang L-M, Chen K-Q (2014) An important mechanism for thermal rectification in graded nanowires. Appl Phys Lett 105:203111. https://doi.org/10.1063/1.4902427
Jeżowski A, Rafalowicz J (1978) Heat flow asymmetry on a junction of quartz with graphite. Phys Status Solidi 47:229–232
Balcerek K, Tyc T (1978) Heat flux rectification in tin-α-brass system. Phys Status Solidi 47:K125–K128
Dames C (2009) Solid-state thermal rectification with existing bulk materials. J Heat Transf 131:061301. https://doi.org/10.1115/1.3089552
Tian H, Xie D, Yang Y, Ren TL, Zhang G, Wang YF, Zhou CJ, Peng PG, Wang LG, Liu LT (2012) A novel solid-state thermal rectifier based on reduced graphene oxide. Sci Rep 2:523. https://doi.org/10.1038/srep00523
He J, Zhao LD, Zheng JC, Doak JW, Wu H, Wang HQ, Lee Y, Wolverton C, Kanatzidis MG, Dravid VP (2013) Role of sodium doping in lead chalcogenide thermoelectrics. J Am Chem Soc 135:4624–4627
He J, Girard SN, Zheng JC, Zhao L, Kanatzidis MG, Dravid VP (2012) Strong phonon scattering by layer structured pbsns(2) in pbte based thermoelectric materials. Adv Mater 24:4440–4444
He J, Sootsman JR, Girard SN, Zheng JC, Wen J, Zhu Y, Kanatzidis MG, Dravid VP (2010) On the origin of increased phonon scattering in nanostructured pbte based thermoelectric materials. J Am Chem Soc 132:8669–8675
He J, Blum ID, Wang HQ, Girard SN, Doak J, Zhao LD, Zheng JC, Casillas G, Wolverton C, Jose-Yacaman M, Seidman DN, Kanatzidis MG, Dravid VP (2012) Morphology control of nanostructures: Na-doped pbte-pbs system. Nano Lett 12:5979–5984
Rong H, Lin W-Q, Zheng J-C, Lu M (2014) Thermal characterization of a bridge-link carbon nanotubes array used as a thermal adhesive. Int J Adhes Adhes 49:58–63
Zheng J-C, Zhang L, Kretinin AV, Morozov SV, Wang YB, Wang T, Li X-J, Ren F, Zhang J, Lu C-Y, Chen J-C, Lu M, Wang H-Q, Geim AK, Novoselov KS (2016) High thermal conductivity of hexagonal boron nitride laminates. 2D Mater 3:011004
Zhang L, Li N, Wang H-Q, Zhang Y, Ren F, Liao X-X, Li Y-P, Wang X-D, Huang Z, Dai Y, Yan H, Zheng J-C (2017) Tuning the thermal conductivity of strontium titanate through annealing treatments. Chin Phys B 26:016602
Go DB, Sen M (2010) On the condition for thermal rectification using bulk materials. J Heat Transf 132:124502
An T-C, Lin C-A, Chiu C-H, Liu C-H, Hu P-T (2008) Thermal retention performance and gas removal effect of bamboo charcoal/PET blended fibers. Polym Plast Technol Eng 47(9):895–901
Yang L, H-b Liu, D-s Zhang, Liu J-Z, He Y-D (2011) Electron microscopy study on microstructure of bamboo charcoal. J Chin Electr Microsc Soc 30(2):138–141
Mannan S, Paul Knox J, Basu S (2017) Correlations between axial stiffness and microstructure of a species of bamboo. R Soc Open Sci 4:160412. https://doi.org/10.1098/rsos.160412
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11335006, 51661135011 and 11704317) and Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund (the second phase) under Grant No. U1501501.
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J.-C.Z. designed research, J.-C.Z., X.J.L., N.L., F.R., K.H.W., H.Q.W., and C.L.K. performed research, J.-C.Z., X.J.L., N.L., F.R., M.W. and H.Q.W., analysed data, and J.-C.Z., X.J.L., M.W., H.Q.W. wrote the paper.
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Li, XJ., Li, N., Ren, F. et al. Route to design highly efficient thermal rectifiers from microstructured cellular biomorphic materials. J Mater Sci 53, 13955–13965 (2018). https://doi.org/10.1007/s10853-018-2462-6
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DOI: https://doi.org/10.1007/s10853-018-2462-6