Theoretical prerequisites for vortex pipes use with the purpose of fluid temperature potential increase

In the energy-saving area, the use of low-temperature heat-transfer agents' energy potential, at the expense of its temperature increase, has a significant importance. This paper presents a theoretical solution for the fluid flow in a circular pipe, examines the simplified mathematical model with the Pfaffian system use and the equation of state usage. The obtained solution displays the temperature dependence on the angular velocity. For the solution specification there was used the superposition principle consisting in superposition of two flows, notably, the fluid flow in a circular pipe and fluid rotation in a circular pipe. The obtained solution shows how pressure depends on vortex pipes' technical characteristics. Basing on mathematical modeling, we can detect the temperature field and the power potential of the fluid flow which has a higher temperature in a vortex pipe.