MATHEMATICAL MODEL OF LIQUID FLOW THROUGH THE PIPE OF CURCULAR CROSS-SECTION

This article analyses the properties of homogeneous viscous liquid flow in the pipe with variable cross-section characterized by cylindrical symmetry. The analytical approach is proposed in order to determine the flow velocity profile in the pipe’s extremium cross-sections. The conditions when dead spaces emerge in neighborhood of the maximum cross-section are identified. The particular case of problem-solving allowing prime presentation is examined for the set of current line allowing prime presentation.

Keywords:
Navier – Stokes equation, set of current lines, current lines' parameter, extremium cross-section.
УДК 532.517

MATHEMATICAL MODEL OF LIQUID FLOW THROUGH THE PIPE OF CURCULAR CROSS-SECTION