Now, having derived the equations for isothermal flow we now consider the effect of temperatural dependence.
It is quite important because thermally induced moisture moment is causing a variety of engineering problems, such as disposal of high level nuclear waste, then a soil warming for agricultural purposes and then underground heating of soil.
And variable to this temperatural difference you will get this non-isothermal flow, because that level is very important. Another complication is temperature volumetric equation that the moisture will do for change. So, we need to consider liquid transfer as well as vapour transfer which we will consider now in the following presentation.