Fluid flow with abrupt viscosity–temperature dependence

The paper is focused on studies of channel viscous flow stability with the high dependence viscosity on temperature (thermoviscosity effect). It is shown the essential influence of this effect on the entrance length or transition from any initial profile to the stationary profile of the plane channel flow. The obtained solution has an inflection point in the velocity profile for the certain range of flow parameters. This evidence with respect to Rayleigh’s inflection theorem involves thermoviscous media deserving consideration objects for stability problems.