On the possibility of control restoration in some inverse problems of heat and mass transfer

11th International Conference on "Mesh methods for boundary-value problems and applications"

Bilchenko, G.G.^1 ; Bilchenko, N.G.^1

Research Laboratory 16, Department of Heat Engineering and Power Engineering Machinery, Kazan National Research Technical University (KNRTU-KAI) Named after A N Tupolev, K Marx St. 10, Kazan, Tatarstan

420111, Russia^1

关键词: Chemical process;    Computational experiment;    Continuous functions;    Heat and mass transfer;    Integral relations;    Optimal controls;    Permeable surface;    Stagnation points;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012020/pdf
DOI  :  10.1088/1757-899X/158/1/012020

来源: IOP

【 摘 要 】

The hypersonic aircraft permeable surfaces effective heat protection problems are considered. The physic-chemical processes (the dissociation and the ionization) in laminar boundary layer of compressible gas are appreciated in mathematical model. The statements of direct problems of heat and mass transfer are given: according to preset given controls it is necessary to compute the boundary layer mathematical model parameters and determinate the local and total heat flows and friction forces and the power of blowing system. The A.A.Dorodnicyn's generalized integral relations method has been used as calculation basis. The optimal control - the blowing into boundary layer (for continuous functions) was constructed as the solution of direct problem in extreme statement with the use of this approach. The statement of inverse problems are given: the control laws ensuring the preset given local heat flow and local tangent friction are restored. The differences between the interpolation and the approximation statements are discussed. The possibility of unique control restoration is established and proved (in the stagnation point). The computational experiments results are presented.