The questions of mathematical modelling of indirect induction heating viscous oil in heaters and continuous optimization of the power distribution of internal heat sources on the criterion of maximum speed are analysed. It is similar to minimizing the length of the heater for the steady-state regimes of heating. The specificity of the heating of viscous fluids in indirect induction heating consists in the uneven distribution of liquid flow velocity in the cross section. proposed quasi-optimal algorithms for power distribution along the length of the heater in the form of a step function provide energy savings for heating when the technological demands of fidelity to the outlet temperature of the heater.

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The article discusses the problem of increasing the effi - ciency of installations for heating viscous liquids during their transportation through pipeline systems. The posed problem is solved by intensifying the heat transfer process between heat sources and a heated liquid. Intensify the heat transfer process in heating systems by using a modular heating system. Each module consists of an induction heating section and an induction mixer. The mixer is installed at the outlet of the heating section. The process of mixing the liquid is carried out by an induction mixer of a special design. A method for calculating the temperature of the oil fl ow in the pipeline behind the induction heater and after the mixer is proposed. The methodology was developed on the basis of a balance of heat fl ows. The temperature distribution for a multi-section heater consisting of several induction modules is calculated. It is shown that the use of a modular system can signifi cantly reduce the overall dimensions of the induction heater and reduce energy costs for transporting liquid.