Yes you can. For instance, in order to find the local direction of a streamline you have to solve the vectorial product between local velocity and space differential, set equal to zero. However the family of lines you'll find will keep changing in time.
I am not sure what a "thermline" is I don't find it defined anywhere. Maybe you want to see the motion of the energy in the fluid? If so there is a partial answer from Adrian Bejan's book "convection heat transfer". He defines a "heatfunction" and plots streamlines of it to show how the internal energy moves within the fluid by both conduction and convection. I wanted to extent this capability to unsteady compressible flow in which the temporal derivative of pressure becomes a strong term. Energy is carried around by static pressure waves which isentropically do work on the surrounding fluid.
Dear V.A. Zharov do you mean that you can plot Bejan's heat function for an instant in time? if so the group dpbydt will be significant. Can this be done? Martin Rose