A transfer matrix model for cylindrical and conical ducts is presented which allows to take into account the low Mach number due to cavitation. For the cylindrical duct an analytical solution exists, while for the conical duct an approximate solution has been found by means of the method of characteristics. The latter has been validated by means of the numerical integration of the differential equation of the model. The model may be employed for the draft tube of Francis turbines in presence of cavitating vortex rope.
Transfer Matrix Modelling of Hydraulic Machinery Components at High Mach Number Due to Cavitation
CATTANEI, ANDREA
1993-01-01
Abstract
A transfer matrix model for cylindrical and conical ducts is presented which allows to take into account the low Mach number due to cavitation. For the cylindrical duct an analytical solution exists, while for the conical duct an approximate solution has been found by means of the method of characteristics. The latter has been validated by means of the numerical integration of the differential equation of the model. The model may be employed for the draft tube of Francis turbines in presence of cavitating vortex rope.
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