A microstructural approach to model heat transfer in snow

[1] The relation between heat flow through snow and microstructure is crucial for the comprehension and modeling of thermophysical, chemical, and mechanical properties of snow. This relationship was investigated using heat flux measurements combined with a microstructural numerical approach. A snow sample was subjected to a temperature gradient and the passing heat flux was measured. Simultaneously, the snow microstructure was imaged by X-ray micro-tomography. The heat flow through the observed ice matrix and its heat conductivity was computed by a finite element method. Comparison of measured and simulated heat conductivities suggests that heat conduction through the ice matrix is predominant. The representative elementary volume with respect to density and heat conductivity as well as the tortuosity factor of the ice matrix was determined. In contrast to the density, the tortuosity factor takes into account the relevant geometry of the ice matrix and has many advantages in heat transfer models.

[1]  S. Fukusako,et al.  Recent advances in research on water-freezing and ice-melting problems , 1993 .

[2]  H. As,et al.  Stagnant Mobile Phase Mass Transfer in Chromatographic Media: Intraparticle Diffusion and Exchange Kinetics , 1999 .

[3]  T. Lu,et al.  Natural convection in metal foams with open cells , 2005 .

[4]  M. Schneebeli Three-Dimensional Snow: How Snow Really Looks Like , 2000 .

[5]  Sergey A. Sokratov,et al.  Tomography of temperature gradient metamorphism of snow and associated changes in heat conductivity , 2004 .

[6]  M. Schneebeli,et al.  A model for kinetic grain growth , 2001, Annals of Glaciology.

[7]  P. Mayewski,et al.  Glaciochemistry of polar ice cores: A review , 1997 .

[8]  E. Adams,et al.  Model for effective thermal conductivity of a dry snow cover composed of uniform ice spheres , 1993, Annals of Glaciology.

[9]  P. Rüegsegger,et al.  A new method for the model‐independent assessment of thickness in three‐dimensional images , 1997 .

[10]  M. Schneebeli Numerical simulation of elastic stress in the microstructure of snow , 2004, Annals of Glaciology.

[11]  Cécile Coléou,et al.  Three-dimensional snow images by X-ray microtomography , 2001, Annals of Glaciology.

[12]  R. Huiskes,et al.  A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. , 1995, Journal of biomechanics.

[13]  J. Schweizer,et al.  Snow avalanche formation , 2003 .

[14]  P. Venema,et al.  The effective self-diffusion coefficient of solvent molecules in colloidal crystals , 1991 .

[15]  Norman Epstein,et al.  On tortuosity and the tortuosity factor in flow and diffusion through porous media , 1989 .

[16]  Glenn O. Brown,et al.  Evaluation of laboratory dolomite core sample size using representative elementary volume concepts , 2000 .

[17]  P. Rüegsegger,et al.  Direct Three‐Dimensional Morphometric Analysis of Human Cancellous Bone: Microstructural Data from Spine, Femur, Iliac Crest, and Calcaneus , 1999, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[18]  S. Colbeck,et al.  Geometry of heat and mass transfer in dry snow: A review of theory and experiment , 1995 .

[19]  M. König,et al.  The thermal conductivity of seasonal snow , 1997, Journal of Glaciology.

[20]  R. Barry,et al.  Intraseasonal variation in the thermoinsulation effect of snow cover on soil temperatures and energy balance , 2002 .

[21]  Brissaud,et al.  3 D VISUALIZATION OF SNOW SAMPLES BY MICROTOMOGRAPHY AT LOW TEMPERATURE , 2022 .