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MATRIX APPROACH TO SOLVE THE INVERSE PROBLEMS OF HEAT TRANSFER
Keywords:
heat transfer, mathematical modeling, direct and inverse problems, matrix model, heat carrier, direct-flow and countercurrent motion.DOI:
https://doi.org/10.17654/0973576322008Abstract
A new matrix approach to solve the inverse problems of the choice of heat exchange design and hear carriers parameters to provide the effective work of a heat exchanges system is proposed. A new formulation of the heat transfer inverse problem with the moving boundary of phase transform is suggested. The obtained solutions can be realized in practice for development of resources and energy saving technologies.
Received: November 12, 2021
Accepted: January 17, 2022
References
A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problems, Springer, 2017, p. 292.
V. Mizonov, O. Sizova and V. Zhukov, Optimization of Gas Flow-field Distribution in Processes of Particle Separation and Classification // Preprints PARTEC 95:3-d European Symp. on Separation of Particles from Gases, Nurnberg, 1995, pp. 107-115.
Yogesh Jaluria, Design and Optimization of Thermal Systems, 2nd ed., CRC Press, Taylor and Francis Group, 2008, p. 753.
W. F. Stoecker, Design of Thermal Systems, 3rd ed., McGrow-Hill, 1989, p. 519.
D. M. Himmelblau and B. B. Kenneth, Process Analysis and Simulation: Deterministic Systems, John Wiley and Sons, 1968, p. 495.
H. Berthiaux, V. Mizonov and V. Zhukov, Application of the theory of Markov chains to model different processes in particle technology, Powder Technol. 157 (2005), 128-137.
V. P. Zhukov and A. H. Belyakov, Simulation of combined heterogeneous processes based on discrete models of the Boltzmann equation, Theoretical Foundations of Chemical Engineering 51 (2017), 88-93. DOI: 10.1134/S0040579517010158
Vadim Mizonov, Andrey Tikhonov, Andrey Mitrofanov, Evgeny Barochkin and Elena Shuina, A simple model for describing the thermal state of a water pipe at low negative temperatures, JP Journal of Heat and Mass Transfer 23(2) (2021), 293-302.
Vadim Mizonov, Nicolay Yelin, Andrey Kotkov and Sergei Fedosov, Theoretical study of sheet construction materials drying with reversible supply of drying gas, JP Journal of Heat and Mass Transfer 14(3) (2017), 411-420.
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