Abstract
The problem of determining the steady-state dissipative heating of a Newtonian liquid moving in a round tube of finite length, taking account of the dependence of the viscosity on the temperature, is formulated. The possibility of a jumpwise transition from low-temperature flow conditions with small mass flow rates to high-temperature flow conditions with large mass flow rates, and the reverse with a gradual change in the pressure drop, is established. This phenomenon is brought about by hydrodynamic thermal ignition and extinction; an analytical description of it is given.
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