The hydromechanical dispersion describes the distribution and the mixing of heat in the moving pore water. The heat flow due to dispersion is also described by Fourier's law based on the heat conduction:
With:
jdisp = heat flow caused by dispersion [W]
Dd = symmetric dispersion tensor [m²/s]
A = cross-section of flow [m²]
cw = specific heat capacity of the fluid [Ws/(kg K) = J/(kg K)]
ρw = density of the fluid [kg/m³]
T = temperature gradient [K/m]
Energy transport equation