Ïðåäëîaeåíà ìàòåìàòè÷åñêàÿ ìîäåëü êîíâåêòèâíîãî òåïëîîáìåíà â ïëîñêîì ïîðè-ñòîì êàíàëå ïðè ëàìèíàðíîì òå÷åíèè íüþòîíîâñêîé ñðåäû â âèäå êðàåâîé çàäà÷è äëÿ ñîïðÿaeåííûõ óðàâíåíèé Äàðñè Áðèíêìàíà Ôîð÷õåéìåðà â ïðèáëèaeåíèè Äàðñè Áðèíêìàíà è ïåðåíîñà òåïëîòû â ôîðìå Øóìàííà ïðè òåïëîâûõ ãðàíè÷íûõ óñëîâèÿõ âòîðîãî ðîäà. Ìåòîäîì èíòåãðàëüíûõ ïðåîáðàçîâàíèé ïîëó÷åíî àíàëèòè÷åñêîå ðåøå-íèå óðàâíåíèé ìîäåëè äëÿ ðàñ÷åòà òåðìè÷åñêèõ è ãèäðîäèíàìè÷åñêèõ ïîëåé. Ýòî ïîç-âîëèëî íàéòè òî÷íûå ñîîòíîøåíèÿ äëÿ äëèíû íà÷àëüíîãî ãèäðîäèíàìè÷åñêîãî ó÷àñò-êà, êîýôôèöèåíòà ãèäðàâëè÷åñêîãî ñîïðîòèâëåíèÿ òðåíèÿ ïî Ôàííèíãó, èäåíòèôèöè-ðîâàòü ëîêàëüíûå õàðàêòåðèñòèêè òåìïåðàòóðíûõ ïîëåé aeèäêîé ôàçû è ïîðèñòîãî ñêåëåòà â çàâèñèìîñòè îò ïîðèñòîñòè, à òàêaeå îöåíèòü ëîêàëüíûå ÷èñëà Íóññåëüòà è îïðåäåëèòü îáëàñòü ýôôåêòèâíîãî òåïëîîáìåíà. Ïîëó÷åííûå äàííûå íå ïðîòèâîðå÷àò êëàññè÷åñêèì ðåçóëüòàòàì.Êëþ÷åâûå ñëîâà: ïîðèñòûå ñðåäû; òåïëîîáìåí; ïëîñêèé êàíàë; ãèäðàâëè÷åñêîå ñîïðîòèâëåíèå; íà÷àëüíûé ãèäðîäèíàìè÷åñêèé ó÷àñòîê. ÂâåäåíèåÏîÿâëåíèå êîìïàêòíûõ ýíåðãîíàïðÿaeåííûõ ýëåìåíòîâ ñèñòåì ðàçëè÷íîãî ïðåä-ìåòíîãî íàçíà÷åíèÿ âûçâàëî íåîáõîäèìîñòü èõ ýôôåêòèâíîãî îõëàaeäåíèÿ ñ öåëüþ ñòàáèëèçàöèè òåìïåðàòóðíîãî ðåaeèìà, îáåñïå÷èâàþùåãî çàäàííûå ýêñïëóàòàöèîí-íûå õàðàêòåðèñòèêè [1]. Ðåøåíèå ýòîé ïðîáëåìû áàçèðóåòñÿ íà èñïîëüçîâàíèè ðàç-ëè÷íûõ ìåòîäîâ èíòåíñèôèêàöèè òåïëîîáìåíà [2], íî íàèáîëüøåå ïðèìåíåíèå íàøëè ïîðèñòûå ñðåäû [3] â ñèëó âûñîêèõ çíà÷åíèé êîýôôèöèåíòà òåïëîïåðåäà÷è.Ôèçè÷åñêàÿ ìîäåëü ïîðèñòûõ ñðåä, êàê ïðàâèëî, ïðåäñòàâëÿåòñÿ â âèäå ïëîòíîé óïàêîâêè ñôåð [4], ïóñòîòû êîòîðîé ñîåäèíåíû ìåaeäó ñîáîé è çàïîëíåíû aeèäêîñòüþ, ïðè÷åì ïðèñóòñòâóþò òîëüêî äâå ôàçû aeèäêîñòü è ïîðèñòûé íåäåôîðìèðóåìûé ñêåëåò.Ãèäðîäèíàìèêà ïîðèñòîãî ñëîÿ îïèñûâàåòñÿ îáîáùåííîé ôåíîìåíîëîãè÷åñêîé ìî-äåëüþ Äàðñè Áðèíêìàíà Ôîð÷õåéìåðà â ôîðìå Êñó ×åíãà [5]:

No abstract

The precise analytical solution for the heat transfer problem in a porous flat channel with a laminar flow of a viscous incompressible coolant with boundary conditions of the first kind is obtained based on the assumption that the flow is unidirectional, phase transitions are absent, and the thermos-physical properties are constant. The model is based on the Schumann equations as an initial-boundary value task for the system of parabolic equations referring to the local temperature of the coolant and the porous matrix. The paper reveals the relation of the local Nusselt number and the conditions necessary to access the compactness of heat transfer systems with porous fillers.

The final dimensional combined treatment with the application of an electric field by a tool in the form of unbound metal pellets of complex profile components used in aviation, rocket and space technology and in the oil and gas industry is considered. Such parts include impellers and the flowing component of the turbo-pump units, augers, impellers, where there are sections of variable curvature with limited access of the tool to the processing area. It is shown that the combination in a combined process of two-component technological media from current-carrying granules and an electrically conductive liquid medium supplied at high speed to the treatment zone allows to provide the required technological and operational processing parameters; the action of an electric field from a source with an increased voltage makes it possible to remotely perform a final dimensional processing of the pieces of metal parts with the creation of the required coldhardening against the impacts of solid granules; a combination of mechanical, chemical and magnetic impacts ensures obtaining a given profile accuracy, surface roughness. As a result, it is possible to increase the action and durability of important units of aerospace engineering and oil and gas equipment, and also to expand the area of technological use of the combined treatment method with unbound granules to component parts that are not accessible for processing by an integral tool. In the method under consideration, a universal granule tool is used which does not have a constant geometric shape and is capable of being delivered to the treatment zone through openings into parts whose dimensions are commensurable with the cross-section of the granules.

Email: timoshinova89@yandex.ruAbstract. While formulating a mathematical model of the flow and interaction between oxygen-methane fuel combustion products with tangentially swirled ballast water injected in the end of the combustion chamber in CAE product Fluent, which integrated into the ANSYS Workbench platform, the problem of structural-parametric synthesis is solved for structure optimization of the model. Equations are selected from the catalogue of Fluent physical models. Also optimization helps to find "regime" model parameters that determine the specific implementation of the model inside the synthesized structure. As a result, such solutions which were developed during creation of a numerical algorithm, as the choice of a turbulence model and the state equation, the methods for determining the thermodynamic thermophysical characteristics of combustion products, the choice of the radiation model, the choice of the resistance law for drops, the choice of the expression which allows to evaluate swirling flows lateral force, determination of the turbulent dispersion strength, choice of the mass exchange law, etc. Fields of temperature, pressure, velocity and volume fraction of phases were obtained at different ballast water mass flows. Dependence of wall temperature from mass flow of ballast water is constructed, that allows us to compare results of the experiment and mathematical modeling.