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Table 1 The common simulation parameters for the two cases

From: Holistic multiphysics simulation of climatic responses of cold region pavements

Symbol

value (unit)

Description

\({\lambda }_{s}\)

1.9[W/(m*K)]

Thermal conductivity of soil solid

\({\lambda }_{w}\)

0.58[W/(m*K)]

Thermal conductivity of soil water

\({\lambda }_{i}\)

2.23[W/(m*K)]

Thermal conductivity of soil ice

\({\lambda }_{a}\)

0.025[W/(m*K)]

Thermal conductivity of soil air

\({\mathrm{C}}_{\mathrm{n}}\)

2e6[J/(m^3*K)]

Volumetric heat capacity of Solid

\({\mathrm{C}}_{\mathrm{w}}\)

4.2e6[J/(m^3*K)]

Volumetric heat capacity of Liquid

\({\mathrm{C}}_{\mathrm{v}}\)

1.2e3[J/(m^3*K)]

Volumetric heat capacity of Vapor

\({\mathrm{C}}_{\mathrm{i}}\)

1.935e6[J/(m^3*K)]

Volumetric heat capacity of Ice

\({\mathrm{L}}_{\mathrm{f}}\)

3.34e5[J/kg]

Latent heat of freezing

\({\mathrm{L}}_{0}\)

3.34e8[J/m^3]

Volumetric Latent heat of freezing

\({\upgamma }_{0}\)

71.89[g*s^-2]

Surface tension of soil water at 25 Celsius degrees

\({\uprho }_{\mathrm{i}}\)

931[kg/m^3]

Density of ice

\({\uprho }_{\mathrm{w}}\)

1000[kg/m^3]

Density of water

\({\uprho }_{\mathrm{n}}\)

2700[kg/m^3]

Density of soil solids

g

9.8[m*s^-2]

Gravitational acceleration

\(\epsilon\)

0.95

Emission coefficient of pavement surface material

\({\epsilon }_{a}\)

0.95

Absorption coefficient of pavement surface material