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Mathematical models for the calculation and designing of power plants flow parts

Rusanov А.V., Dr. Sci. (Engin.), Professor
Language: Russian
Source: The Problems of General Energy, 2014, 4(39):34-41
Section: Mathematical modeling of energy facilities and systems
UDC: 621.165
Received: 02.12.2014
Published: 27.11.2014


The paper describes an algorithm for the designing of axial and radial-axial type turbines. The algorithm is based on using of mathematical models of various levels of difficulty – from 1D to 3D.
3D viscous flows modeling performed on the basis of numerical integration of the Reynolds averaged non-stationary Navier-Stokes equations. To accounting of the turbulent effects is used SST Menter two-parameter differential turbulence model. The initial equations are integrated using a high accuracy implicit quasimonotone ENO-scheme. To account for the thermodynamic properties of the working fluid used the equations of state of a perfect gas, Tamman and Van der Waals. Real thermodynamic properties of working fluids including water and steam are described using an interpolation-analytical method of approximation of modified Benedict-Webb-Rubin equations with 32 members and equations of IAPWS-95 formulation. Model of three-dimensional turbulent flow is realized in the software package IPMFlow, which is the development of software packages FlowER and FlowER-U.
Description of the axial and radial-axial type flow parts geometry is performed using the parameterization and analytical profiling, initial data for which is a limited number of parameterized values. As parameterized are chosen those values which or accepted in turbine construction, or those which have a simple geometric interpretation. Methods are different for the blades of the radial-axial and axial types.
Introduced the examples of developed or modernized with the help of the algorithm turbines flow parts of power machines for different purposes – turbo expander, the turbine which work at low-boiling working fluid, medium pressure cogeneration turbine.

Keywords: mathematical model, analytical profiling, computational gas dynamics, turbo expander, turbine, low-boiling working fluid.


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