The article describes the authors’ experience in improving and using design of experiments (DOE) methods for solving various scientific problems in the field of optimal design of turbine profiles, blades, stages, multistage flow parts of turbines and heat circuits. Specific examples of DOE application for planning of computational and full-scale experiments are given. The high efficiency of DOE application is confirmed by experimental studies of two variants of a 2-stage air turbine (prototype and optimal design). Numerical experiments were planned and carried out using 1-D, 2-D and 3-D (CFX) simulations of real processes in individual elements, nodes and multistage axial turbines. The peculiarities of applying DOE methods for creating dependencies that describe the objective functions, functional limitations and various characteristics for turbine profiles, turbine grids, blades, axiradial seals, chamber behind the regulating stage, nozzle with a rotary diaphragm, a thermal circuit, etc. are shown.
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