Features of Mathematical Modeling and Validation of Computer Model of Physical Processes in the Porous Mesh Material of a Hydraulic Filter Element


Аuthors

Ivanov M. Y.1, 2*, Gorodnov A. O.3**, Laptev I. V.3***, Sidorenko N. Y.3****, Malahov A. S.1, Resh G. F.1

1. Military industrial corporation «NPO Mashinostroyenia», 33, Gagarina str., Reutov, Moscow region, 143966, Russia
2. Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia
3. Keldysh Research Centre, 8, Onezhskaya str., Moscow, 125438, Russia

*e-mail: vpk@vpk.npomash.ru
**e-mail: an.ol.gorodnov@gmail.com
***e-mail: laptev@kerc.msk.ru
****e-mail: sidorenikita@yandex.ru

Abstract

The paper considers the features of creating physical and mathematical model of spatial motion of viscous incompressible non-thermally conductive liquid in - a hydraulic filter element. Porous mesh materials are artificial porous media formed by several (more than two) flat sheets of metal grids, the fibers of which are rigidly interconnected. The relevance of adequate computer modeling of the functioning of the filter element is due to the need to develop a digital twin of hydraulic system containing such devices. Currently, Russian and foreign industrial enterprises are developing and using virtual analogues of physical processes, products and systems for the so-called predictive modeling of the development of processes and behavior of products and systems. This makes it possible to predict the nature of the features of the course of phenomena of various natures or the functioning of systems long before the occurrence of possible emergency situations throughout their entire life cycle. Based on the LOGOS Aero-Hydro engineering analysis system, theoretical method for determining the coefficient of hydraulic resistance of representative element (quasi-periodic cell) of porous mesh material of arbitrary configuration is proposed, implemented and confirmed in practice by solving the problem of liquid flowing around two-layer structure of the material. A computer model of virtual pouring tests of sample of porous mesh material has been developed, providing a relative error in determining the coefficient of hydraulic resistance of sample of porous mesh material of no more than 5%. The procedure for validating the computer model of nonstationary physical processes in the considered porous structure is described. Validation spill tests of porous mesh material sample confirmed the required level of adequacy and provided the required degree of accuracy of the computer model of the sample under study. The validation uses empirical data obtained from spillage tests of sample of porous mesh material. The simulation results supplement the fundamental theory of studying the hydraulic properties of porous permeable materials. The possibility of using the classical phenomenological Darcy-Forchheimer model of a porous mesh material sample in development of digital twins of pneumohydraulic systems has been confirmed.

Keywords:

computer model, hydraulic resistance coefficient, control volume method, porous mesh material

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