  We study the coupled dynamics of normal and superfluid components of the
superfluid $^4$He in the channel considering the counterflow turbulence with
laminar normal component. In particular, we calculated profiles of the normal
velocity, the mutual friction, the vortex line density and other flow
properties and compared them to the case when the dynamic of the normal
component is "frozen". We have found that the coupling between the normal and
superfluid components leads to flattening of the normal velocity profile,
increasingly more pronounced with temperature, as the mutual friction, and
therefore coupling, becomes stronger. The commonly measured flow properties
also change when the coupling between two components is taken into account.
