Анализ влияния постоянных управляющих воздействий на область значений функционалов гиперзвуковой аэродинамики

Григорий Григорьевич Бильченко; Наталья Григорьевна Бильченко

doi:10.17308/sait.2018.2/1204

Authors

Григорий Григорьевич Бильченко Kazan National Research Technical University (KNRTU-KAI) named after A. N. Tupolev
Наталья Григорьевна Бильченко Kazan National Research Technical University (KNRTU-KAI) named after A. N. Tupolev

DOI:

https://doi.org/10.17308/sait.2018.2/1204

Keywords:

control, heat and mass transfer, laminar boundary layer, hypersonic flows, permeable surfaces, total heat flow, total Newton friction force, method of generalized integral relations, approximating system of ordinary differential equations, nonlinear algebraic equations system

Abstract

The properties of mathematical model of heat and mass transfer and friction control in laminar boundary layer on permeable cylindrical and spherical surfaces of hypersonic aircraft are investigated. The dependences of hypersonic aerodynamics functionals (the total heat flow and the total Newton friction force) values on controls (the blowing into boundary layer, the temperature factor, the magnetic field) are obtained. The computational experiments results are presented.

Author Biographies

Григорий Григорьевич Бильченко, Kazan National Research Technical University (KNRTU-KAI) named after A. N. Tupolev

Candidate of Science in Physics and Mathematics, Researcher of Laboratory of Modeling of Physical and Technical Processes, Department of Heat Engineering and Power Engineering Machinery, Kazan National Research Technical University (KNRTU-KAI) named after A. N. Tupolev, Kazan, Russian Federation.
Наталья Григорьевна Бильченко, Kazan National Research Technical University (KNRTU-KAI) named after A. N. Tupolev

Candidate of Science in Physics and Mathematics, Researcher of Laboratory of Modeling of Physical and Technical Processes, Department of Heat Engineering and Power Engineering Machinery, Kazan National Research Technical University(KNRTU-KAI) named after A. N. Tupolev, Kazan, Russian Federation.