The relationship between weighted coordination number, particle shape and ETC

Weighted coordination number with particle shape can well predict thermal conductivity. Weighted coordination number is calculated using complex network theory and it capture the information of both particle connectivity and contact quality.

Fig. a shows the correlation coefficient is high at 0.98, which means the microscale geometrical parameter together with mesoscale topographic and contact quality variable can well predict ETC. If the mesoscale WCN is replaced by macroscale porosity as shown in Fig. b, the correlation coefficient is decreased to 0.88, indicating porosity alone cannot characterize the microstructure and the importance of mesoscale connectivity parameters in the study of the thermo-mechanics response of sands.

The following three graphs are interactive, please use your mouse to obtain a proper visualization by zooming and changing the perspective.

Fig.a The relationship between ETC, weighted coordination number and particle shape descriptor has a correlation coefficient of 0.98

Fig.b The relationship between ETC, porosity and particle shape descriptor has a correlation coefficient of 0.88