On computational experiments 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 6, 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: Computational experiment;    Controllable parameters;    Heat and mass transfer;    Integral relations;    Permeable surface;    Problem solutions;    Switching points;    Temperature factor;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012021/pdf
DOI  :  10.1088/1757-899X/158/1/012021

来源: IOP

【 摘 要 】

The results of mathematical modeling of effective heat and mass transfer on hypersonic aircraft permeable surfaces are considered. The physic-chemical processes (the dissociation and the ionization) in laminar boundary layer of compressible gas are appreciated. Some algorithms of control restoration are suggested for the interpolation and approximation statements of heat and mass transfer inverse problems. The differences between the methods applied for the problem solutions search for these statements are discussed. Both the algorithms are realized as programs. Many computational experiments were accomplished with the use of these programs. The parameters of boundary layer obtained by means of the A.A.Dorodnicyn's generalized integral relations method from solving the direct problems have been used to obtain the inverse problems solutions. Two types of blowing laws restoration for the inverse problem in interpolation statement are presented as the examples. The influence of the temperature factor on the blowing restoration is investigated. The different character of sensitivity of controllable parameters (the local heat flow and local tangent friction) respectively to step (discrete) changing of control (the blowing) and the switching point position is studied.