Parametric Identification of the Heat Flow Incident on the Mirror Elements of Space Observatories
https://doi.org/10.56304/S2304487X22020031
Abstract
A method for parametric determination of the incident thermal specific load on the mirror elements of space systems has been proposed. This problem is solved as a problem of finding an extremum between the theoretical and experimental temperature fields in the places where temperature sensors are installed. First, it is necessary to solve the “direct” problem of heat exchange for the test object and set the basic functions describing the shape of the incident thermal flow. The heat exchange process is accompanied by a one-dimensional radiant-conductive heat transfer inside the material. Consequently, in addition to solving the heat equation, it is necessary to solve the equation of radiation transfer inside the mirror element. As boundary conditions, the equality of heat flows is applied: the resulting heat flow on the one hand and zero heat flows to the lower base of the mirror on the other hand since all surfaces except one are thermally insulated for modeling one-dimensional heating. Next, the standard deviation between the experimental and theoretical temperature fields is compiled and the resulting functional is minimized. Regularization is used to overcome the inaccuracy due to the inaccuracy of the source data. The iterative regularization method where the regularizing parameter is the iteration number is chosen for the regularization procedure. The conjugate gradient method, as the most accurate method of the first order of convergence is chosen as the optimization algorithm. The results obtained can be used to evaluate the boundary conditions of products for a wide temperature range.
About the Author
N. O. Borshchev
Astrospace Centre, Lebedev Physical Institute, Russian Academy of Sciences
Russian Federation
Russian Federation
Moscow, 119991
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For citations:
Borshchev N.O. Parametric Identification of the Heat Flow Incident on the Mirror Elements of Space Observatories. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2022;11(2):101–108. (In Russ.) https://doi.org/10.56304/S2304487X22020031
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