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Fundamentals of the new theory for the processes of transition from deterministic state to the chaos state (turbulence) for non-isothermal flows are presented. According to this theory, systems of stochastic equations of energy, momentum and mass are applied for non-isothermal flows. Then the analytical dependence for estimation of the value of the critical Reynolds number and the value of the critical point of regime change for non-isothermal and compressible flows are written. As an example, consider the classic flow of a Newtonian medium in the circular smooth tube. The values of the critical point of the beginning of the transition from laminar (deterministic) to turbulent motion for non-isothermal flows in the pipe are predicated. It is shown, that predicated values of the critical Reynolds numbers are in satisfactory agreement with the classical data.

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