On the calculation of forces in case of planar and axially symmetric flow around the cavitating body

9th International Symposium on Cavitation

Petrov, A.G.^1,2

Theoretical Mechanics Department, Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny

141700, Russia^1

Mechanics of Systems Laboratory, Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Pr. Vernadskogo, Moscow

119526, Russia^2

关键词: Axially symmetric flows;    Axially symmetric problems;    Boundary elements;    Cavitation number;    Gradient Descent method;    Incompressible fluid;    Quadrature formula;    Resistance coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/656/1/012167/pdf
DOI  :  10.1088/1742-6596/656/1/012167

来源: IOP

【 摘 要 】

The planar and axially symmetric problems of cavitational flow around the body are considered by the Riaboushinsky scheme. The running-on flow is considered to be established for vortex-free ideal and incompressible fluid. In order to find the flow around the body the boundary elements numerical method is used which incorporates the quadrature formulas without saturation. To find the free boundary the gradient descent method based on the Riabushischinsky method is proposed. The resistance force acting on the cavitator is expressed in terms of the Riabushischinsky function, enabling us to calculate the force with rather high precision for small cavitation numbers. The dependence of the resistance coefficient for cavitators of different shape is studied: for wedge and cone, the circular arc and the spherical segment.