Open AccessCalculation of spiral turbine cases according to the equations of flow caused by vortex discharge - circle
Author(s) -
I. E. Mikhaylov,
Ramidin Alisultanov
Publication year - 2015
Publication title -
vestnik mgsu
Language(s) - English
Resource type - Journals
eISSN - 2304-6600
pISSN - 1997-0935
DOI - 10.22227/1997-0935.2015.11.142-156
Subject(s) - spiral (railway) , cylinder , vortex , flow (mathematics) , mechanics , turbine , stator , physics , geometry , classical mechanics , mathematics , mathematical analysis , thermodynamics , quantum mechanics
The authors considered the issues of spiral turbine cases calculation with the help of the equations of fluid flow line of a potential flow induced by vortex discharge-circle situated on an infinite impenetrable cylinder in infinite space filled with ideal (nonviscous) fluid and the characteristics of the flow in spiral cases. It was established that: 1) the stated equations allow calculating the spiral cases, which differ in constructive parameters and the direction of the flow at the entry to the stator of the turbine; 2) slope angle of spiral cones and the direction of the flow at the entry into the stator significantly influence the dimensions of the spiral case; 3) the shape of the cross-sections of the spiral differs from the T-shaped and circle ones usually applied today; 4) the height of the cross-sections is greater than their width. This difference grows in the direction from the entry section to the tooth of the spiral case; 5) the dimensions of the calculated spiral cases are smaller than the dimensions of the cases with round cross sections and bigger than the ones with T shape. It was stated that the theoretical characteristics of the floe formed by spiral case calculated according to the equations of the potential flow induced by vortex discharge-circle situated on an infinite impenetrable cylinder are in good agreement with the experimental characteristics and are favourable for flow-around of stay vanes and guide vanes of turbines.