( k_{th}_{(s)}), (k_{th}_{(}_{w}_{)}) | Heat transfer coefficient/coefficient of convection the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat (i.e., the temperature difference, Δ ) denotes “as regards the water”_{w} | [M∙T |

( | Pore connectivity empirical parameter of Mualem’s equation with the value 0.5 commonly used | [1] |

( | Latent heat | [M∙T |

( | Initial liquid mass | [M] |

( | Soil mass/Mass of the bulk soil of our interest (control mass) | [M] |

( | Parameter | [1] |

( | Calculated value | [1] |

(𝓃) | Shape parameter | [1] |

( | Pore size distribution index | [1] |

( | Parameter | [M |

( | Matric suction | [L] |

( | Capillary pressure | [M∙L |

| Infiltration rate | [L∙T |

( | Heat flux/heat transfer rate | [Μ∙L |

( | Average pore space | [L] |

( | Radius of natural pores | [L] |

( | Reynolds number, where $Re=\frac{{\rho}_{w}\ast {v}_{z}\ast z}{\mu}$ introduced by Sommerfeld, 1909, | [1] |

( | Richardson number, where $Ri=\frac{g\ast z}{{v}_{z}^{2}}$ dimensionless quantity in fluid mechanics | [1] |

( | Net radiation see Heat flux/heat transfer rate/ | [M∙T |

( | Liquid saturation | [1] |

( | Sorptivity/soil sorptivity | [L∙T |

( | Schmidt number, where $Sc=\frac{\mu}{\rho \ast D}$ dimensionless quantity in fluids mechanics | [1] |

( | Effective saturation/Degree of saturation/Percent saturation/Normalize water content terms used equally, | [1] |

( | Sorptivity in state ( as given in [24] | [L∙T |

( | Sherwood number, where $Sh=\frac{K\ast z}{D}$ dimensionless quantity in diffusion mass transport | [1] |

( | Maximum Sorptivity | [L∙T |