Forming of Variable Section Channel Surfaces for Transporting of Operating Mediums in Products of Oil and Gas Mechanical Engineering

The channel forming method according to pre-set shapes and positions of its cross sections providing a smooth transition from one channel section to another for reducing energy losses of the transported operating medium in a channel is presented in the paper. The purpose of this method is setting the law of continuous variation of channel sections parameters providing a continuous framework of a variable section surface containing initial cross sections. The relation between geometry and dynamics of lines is revealed in the method. This relation is established through moments of inertia, centers of mass and central ellipsoids of inertia of lines. An example of surface forming according to the framework set by superellipses arbitrarily oriented in a general system of reference is given.