Direct numerical simulation of thermal conductivity of nanofluids: The effect of temperature two-way coupling and coagulation of particles

2010 ◽  
Vol 53 (5-6) ◽  
pp. 862-869 ◽  
Author(s):  
Sasidhar Kondaraju ◽  
E.K. Jin ◽  
Joon Sang Lee
2013 ◽  
Vol 7 (1) ◽  
pp. 217-227 ◽  
Author(s):  
F. Riche ◽  
M. Schneebeli

Abstract. The thermal conductivity of snow determines the temperature gradient, and by this, it has a direct effect on the rate of snow metamorphism. It is therefore a key property of snow. However, thermal conductivities measured with the transient needle probe and the steady-state, heat flux plate differ. In addition, the anisotropy of thermal conductivity plays an important role in the accuracy of thermal conductivity measurements. In this study, we investigated three independent methods to measure snow thermal conductivity and its anisotropy: a needle probe with a long heating time, a guarded heat flux plate, and direct numerical simulation at the microstructural level of the pore and ice structure. The three methods were applied to identical snow samples. We analyzed the consistency and the difference between these methods. As already shown in former studies, we observed a distinct difference between the anisotropy of thermal conductivity in small rounded grains and in depth hoar. Indeed, the anisotropy between vertical and horizontal thermal conductivity components ranges between 0.5–2. This can cause a difference in thermal conductivity measurements carried out with needle probes of up to –25 % to +25 % if the thermal conductivity is calculated only from a horizontally inserted needle probe. Based on our measurements and the comparison of the three methods studied here, the direct numerical simulation is the most reliable method, as the tensorial components of the thermal conductivity can be calculated and the corresponding microstructure is precisely known.


2012 ◽  
Vol 6 (3) ◽  
pp. 1839-1869 ◽  
Author(s):  
F. Riche ◽  
M. Schneebeli

Abstract. The thermal conductivity of snow determines the temperature gradient, and by this the rate of snow metamorphism. It is therefore a key property of snow. However, parameterizations of thermal conductivity measured with the transient needle probe and the steady-state heat-flux plate show a bias. In addition, it is not clear to which degree thermal anisotropy is relevant. Until now, no physically convincing argument for the existence of this bias could be found. In this study, we investigated three independent methods to measure snow thermal conductivity and its anisotropy: a needle probe with a long heating time, a guarded heat flux plate, and direct numerical simulation at the level of the pore and ice structure. The three methods were applied to identical snow samples, apart from the different measurement volumes of each methods. We analyzed the consistency and the difference between these methods. We found a distinct change from horizontal thermal anisotropy in small rounded grains and vertical anisotropy in depth hoar. The anisotropy between vertical and horizontal conductivity ranges between 0.5–2. This anisotropy can cause a difference of up to −25 % to + 25 % if the thermal conductivity is calculated only from a horizontally inserted needle probe. Based on these measurements, the direct numerical simulation is the most reliable method as the tensorial components of the thermal conductivity can be calculated, the corresponding microstructure is precisely known and the homogeneity of the sample can be determined.


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