W pracy przedstawiono wyniki symulacji numerycznych wymiany ciepła w ściance lufy wykonanej ze stali 30HN2MFA ar-maty przeciwlotniczej kalibru 35 mm podczas strzelań amunicją bojową oraz ćwiczebną. Obliczenia wykonano dla pojedynczego strzału oraz sekwencji siedmiu strzałów dla dwóch rodzajów amunicji 35x228 mm: z pociskiem podkalibrowym FAPDS-T oraz z pociskiem ćwiczebnym TP-T. Lufę o długości 3150 mm podzielono na 6 stref i w każdej z nich obliczono temperaturę w funkcji czasu wzdłuż grubości ścianki lufy podczas strzelań. Wyniki porównano dla obu rodzajów amunicji.
EN
The paper presents results of numerical simulations of heat transfer in the 35 mm anti-aircraft gun barrel wall made of 30HN2MFA steel during firing with combat and practice ammunition. Calculations were made for a single shot and a sequence of seven shots for two types of ammunition 35x228 mm: with FAPDS-T projectile and TP-T practice projectile. The 3150 mm long barrel was divided into 6 zones and in each zone the temperature versus time was calculated along the barrel thickness during firing. The results were compared for both types of ammunition.
The paper presents the results of computer simulations of the transient heat flow in the barrel wall of a 35 mm caliber cannon for a single shot and a sequence of seven shots for a selected 30HN2MFA barrel steel. It was assumed that the inner surface of the barrel does not have a protective layer of chromium or nitride. When calculating heat transfer in a barrel, constant and temperature variable values of thermal conductivity, specific heat and density (in the range from RT (Room Temperature) up to 1000℃) in the 30HN2MFA steel were assumed. The test results were compared for both cases. A barrel with a total length of 3150 mm was divided into 6 zones (i = 1,…, 6) and in each of them, the heat flux density was calculated as a function of the time 𝑞̇𝑖(𝑡) on the inner surface of the barrel. In each zone, the heat transfer coefficient, as a function of the time hi(t) and bore gas temperature as a function of the time Tg(t) to the cannon barrel for given ammunition parameters, was developed. A calculating time equaling 100 ms per single shot was assumed. The results of the calculations were obtained using FEM implemented in COMSOL Multiphysics ver. 5.6 software.
PL
W pracy przedstawiono wyniki symulacji komputerowych nieustalonego przepływu ciepła w ścianie lufy armaty kalibru 35 mm dla pojedynczego strzału i sekwencji siedmiu strzałów dla wybranej stali lufowej 30HN2MFA. Założono, że wewnętrzna powierzchnia lufy nie posiada ochronnej warstwy chromu lub azotku. Przy obliczaniu wymiany ciepła w lufie przyjęto stałe oraz temperaturowo zmienne wartości przewodności cieplnej, ciepła właściwego i gęstości (w zakresie od temperatury pokojowej (Room Temperature) do 1000℃) dla stali 30HN2MFA. Wyniki badań porównano dla obu przypadków. Lufa o łącznej długości 3150 mm została podzielona na 6 stref (i=1,…,6) i w każdej z nich obliczono gęstość strumienia ciepła w funkcji czasu 𝑞̇𝑖(𝑡) na wewnętrznej powierzchni lufy. W każdej strefie obliczono współczynnik przejmowania ciepła w funkcji czasu ℎ𝑖 (𝑡) oraz temperatury gazów prochowych w funkcji czasu 𝑇𝑔(𝑡) w lufie armaty dla zadanych parametrów amunicji. Dla pojedynczego strzału do obliczeń przyjęto czas równy 100 ms. Wyniki obliczeń uzyskano za pomocą MES zaimplementowanego w oprogramowaniu COMSOL Multiphysics ver. 5.6.
In the paper the fractional order, state space model of a temperature field in a two-dimensional metallic surface is addressed. The proposed model is the two dimensional generalization of the one dimensional, fractional order, state space of model of the heat transfer process. It uses fractional derivatives along time and length. The proposed model assures better accuracy with lower order than models using integer order derivatives. Elementary properties of the proposed model are analysed. Theoretical results are experimentally verifed using data from industrial thermal camera.
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The energy transfer process of selective laser melting (SLM) is highly complex. In this work, experiments were carried out to study the effects of SLM on the microstructure and mechanical properties of 18Ni300 martensitic steel. With the increase in laser power, the grain size of the cladding layer decreases and the microstructure becomes dense. The side hardness is higher than upper surface hardness, and the tensile strength and elongation both increase first and then decrease. When the laser power is 300 W and the scanning speed is 1,000 mm/s, the comprehensive mechanical properties are the best, as the tensile strength, microhardness, elongation at break, and elongation after fracture are 1,217 MPa, 37.5%, 37.6%, and 8.93%, respectively. EBSD (Electron Backscatter Diffraction) shows that columnar crystals grow along the growth direction (z direction) in XOZ and YOZ planes, and the grains show weak texture. There are many small-angle grain boundaries, and the grain sizes are <10 μm.
Gas foil bearings belong to the group of slide bearings and are used in devices in which operation at high rotational speeds of the shafts are of key importance, e.g., in gas turbines. The air film developed on the surface of the bearing’s top foil allows this structural component to be separated from the shaft. This ensures a non-contact operation of the bearing. In the case of the mentioned type of bearings, their resultant operational properties are influenced by both thermal and mechanical phenomena. The current work presents a model of a gas foil bearing developed making use of the Finite Element Method. The model takes into account thermomechanical couplings which are necessary for the correct simulation of the operation of physical components of the modeled system. The paper reports the results of numerical analyzes conducted for the elaborated model as well as the relevant conclusions concerning thermomechanical couplings present in gas foil bearings. The method for the experimental identification of the temperature and strain fields in the bearing’s top foil proposed to validate the numerical model is also presented.
W pracy przedstawiono symulacje numeryczne nieustalonego przewodzenia ciepła w niechłodzonej dyszy silnika rakietowego przeciwlotniczej rakiety krótkiego zasięgu. Obliczenia wykonano dla konfiguracji dyszy z wkładką w przekroju krytycznym wykonaną z różnych materiałów. Jako materiał wkładki zastosowano: grafit POCO, ceramikę Al₂O₃, ceramikę ZrO₂-3Y₂O₃. Dla porównania przeprowadzono również symulacje numeryczne wymiany ciepła w dyszy wykonanej w całości ze stali St 45, której temperatura topnienia wynosi 1700 K. Czas pracy silnika był rzędu 3 s. Symulacje numeryczne wykonano za pomocą programu CO MSOL Multiphysics. Wyniki obliczeń podano w postaci zależności temperatury oraz gęstości strumienia ciepła w funkcji czasu w przekroju krytycznym.
EN
The paper presents numerical simulations of transient heat conduction in the uncooled nozzle of a short-range anti-aircraft rocket engine. The calculations were made for the configuration of the nozzle with an insert in the critical section made of various materials. The inserts used were: POCO graphite, Al₂O₃ ceramics, and ZrO₂-3Y₂O₃ ceramics. For comparison, numerical simulations of the heat transfer in a nozzle made entirely of St 45 steel, the melting point of which is 1700 K, were also carried out. The engine’s working time was of the order of 3 s. Numerical simulations were performed using the CO MSOL program. The calculation results are given in the form of temperature dependence and heat flux density as a function of time in the critical cross-section.
It is not easy to make the insulators of the railway catenary for the dry and cold environment of the icy Qinghai-Tibet plateau, without causing serious ice-related flashover accidents. To study the operating status of catenary icing insulators, a two-dimensional icing model of catenary cantilever insulators was established based on the winter environmental characteristics of the Golmud station on the Qinghai-Tibet Railway. Compared different directions of ice growth, the spatial electric field distribution, and surface temperature distribution characteristics of icing insulators were analyzed by multi-physical field coupling simulation. The results show that as the thickness of the ice layer increases and the length of the icicle increases, the field intensity of the insulator gradually increases, and the surface temperature continues to rise. When the ice edge grows vertically downward, the electric field intensity of the insulator is the smallest, and the electric field intensity is the largest when the ice edge grows horizontally. Although the surface temperature of the insulator will rise with the increase of icing degree, it is lower than the freezing point and will not have a great impact on insulation performance. Secondly, when the cantilever insulator is arranged obliquely, the increase in the inclination angle will cause the electric field to increase and the temperature to rise slightly, so the inclination angle of the oblique cantilever should be reduced as much as possible during installation. Finally, the insulator with better insulation performance is obtained by optimizing the structure of the flat cantilever insulator.
To study the influence of temperature field and stress field on the cracking of the small thickness steel plate concrete composite shear wall (SPCW) in the early stage of construction. The temperature field and stress field of a 400 mm thickness SPCW was monitored and simulated through experimental research and numerical simulation. Moreover, a series of parameter analyses were carried out by using ANSYS to investigate the distribution of temperature field and stress field of SPCW. Based on the analysis results, some suggestions are put forward for controlling the cracking of SPCW in the early stage of construction. The results show that the temperature stress of 400 mm thickness SPCW in the early stage of construction is small, and there is no crack on the wall surface. For SPCW with thickness less than 800mm, the temperature stress caused by hydration heat in the early stage of construction is small, and the wall will not crack. The parameters such as wall thickness, steel plate thickness, boundary condition and stud space significantly influence the temperature field and stress field distribution of the small thickness SPCW in the early stage of construction, and reasonable maintenance measures can avoid cracking.
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The technology of renewal of metal corrugated structures allows efficient and economical reconstruction of existing reinforced concrete structures by the method of encapsulation. However, such structures can be exposed to adverse temperature effects that in combination with traffic loadings could influence the operational reliability of the structures. This article deals with the method of evaluation of the stress-strain state of a three-layer cylindrical structure. The technique is based on the thermo-elasticity theory. The study is performed in two steps: determining the temperature field of a structure, and then calculating the temperature stresses and deformations. As a result of calculations, it was established that the level of temperature field and stresses in a three-layer structure caused by the maximum and minimum ambient temperatures can reach a significant level.
PL
Technologia wzmacniania istniejących żelbetowych obiektów inżynierskich elementami z blachy falistej umożliwia ich sprawną i ekonomiczną naprawę. Niemniej jednak, takie konstrukcje mogą być narażone na niekorzystne oddziaływanie temperatury, co w połączeniu z obciążeniem ruchem może wpływać na ich niezawodność. W artykule przedstawiono metodę wyznaczenia stanu naprężeń i odkształceń w trzywarstwowej konstrukcji o przekroju kołowym. Przedstawiona metodologia jest oparta na teorii termosprężystości. Praca została podzielona na dwa etapy: określenie pola temperatury w obrębie konstrukcji, a następnie obliczenie naprężeń termicznych i odkształceń. W wyniku obliczeń ustalono, że wartości pola temperatury oraz naprężeń wywołane w konstrukcji przez wpływ maksymalnych i minimialnych temperatur otoczenia mogą okazać się istotne.
The current passed by the stator coil of the permanent magnet synchronous motor (PMSM) provides rotating magnetic field, and the number of turns will directly affect the performance of PMSM. In order to analyze its influence on the PMSM performance, a 3 kW, 1500 r/min PMSM is taken as an example, and the 2D transient electromagnetic field model is established. The correctness of the model is verified by comparing the experimental data and calculated data. Firstly, the finite element method (FEM) is used to calculate the electromagnetic field of the PMSM. The performance parameters of the PMSM are obtained. On this basis, the influence of the number of turns on PMSM performance is quantitatively analyzed, including current, no-load back electromotive force (EMF), overload capacity and torque. In addition, the influence of the number of turns on eddy current loss is further studied, and its variation rule is obtained, and the variation mechanism of eddy current loss is revealed. Finally, the temperature field of the PMSM is analyzed by the coupling method of electromagnetic field and temperature field, and the temperature rise law of PMSM is obtained. The analysis of this paper provides reference and practical value for the optimization design of PMSM.
The paper analysed the influence of current frequency on the thermal field of the insulated busbar. Its physical model consists of two hollow cylinders and a solid cylinder with different material properties. In turn, the mathematical model is a system of heat conduction equations with the appropriate set of the boundary, initial and continuity conditions. The problem was solved using the modified Green’s method. As a result, the following characteristics and parameters of the busbar were determined as a functions of frequency: heating curves, local time constants, steady-state current ratings, and stationary temperature profiles. The results were positively verified by finite element method.
An electric turnout heating (ETH) system is an essential technical and economic issue. Uninterrupted operation of the turnouts is crucial to maintaining railway transport safety. The classic heating system is characterized by high energy consumption. The usage of it is extremely expensive, so the need to optimize the current system becomes more and more critical. At the same time, the progress in the contactless heating method has become a promising alternative. The paper presents the results of tests performed for electric turnout heating systems for two types of heaters. In the first place, the analysis of heat distribution was performed using the ANSYS Fluent v.16. The temperature fields in the turnout models filled with a model of semi-melting snow were analyzed. Thanks to cooperation with the Railway Institute in Warsaw the second stage of the research was possible to be completed. In this part, the models were implemented in the real world using the 49E1 railway turnout. The numerical solutions were validated by the experiments. The verification showed a high level of agreement among the results. The obtained results indicate the need for further tests of heating systems, to validate an optimal method of turnout heating. It was found that in the classic ETH, the working space area consumes a tremendous amount of energy. To ensure a higher efficiency of the heating process, the contactless heater is proposed as an alternative.
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A highly reflective metal-ceramic anticorrosion coating is proposed to address temperature-induced track arching and concomitant damage of the China Railway Track System II ballastless tracks. The term ceramic refers to the inorganic phosphate coating binder and the metal pertains to the aluminite powder filler. Its thermal properties were studied through finite element modeling and heat radiation testing of uncoated and coated concrete samples and 1:1 ballastless track slab models. The metal–ceramic anticorrosion coating microstructure and constituent characterization were considered in its cooling efficacy analysis. The insulation temperature of the concrete test pieces increased as the thickness of the primer layer increased. At a primer layer thickness of 100 μm, 200 μm, and 300 μm, the corresponding insulation temperature was 8 °C, 18 °C, and 25 °C, respectively. Moreover, the temperature gradient, longitudinal stress, and vertical displacement of a track slab coated with a 300-μm metal-ceramic anticorrosion coating layer decreased by 29%, 57%, and 51.9%, respectively, which agreed well with the simulation results. The reduction in temperature transfer to the substrate, realized by the metal-ceramic anticorrosion coating, holds great promise for application in the construction industry.
The determination of the thermal-elastic behavior is one of the main aspects in the design phase of new machine frames. Prototypically simulation models are used for preliminary investigations, which are based on finite element approaches and usually work with simplified material laws. By the manufacturing of machine frames of concrete steel reinforcements are used to ensure the operation reliability due to the high sensitivity of concrete to tensile stresses. Because of different thermal conductivity and specific heat capacity of steel and concrete the reinforcement has a not negligible influence on the total thermal behavior of the system, which cannot be covered with conventional material laws, e.g. from material libraries. Preliminary investigations show, that a volume fraction more than 1 % of the reinforcement of the total volume can cause a relative error up to ten percent in the temperature field. To reflect the real behavior of reinforced concrete for a machine bed, the influence should be exanimated for two different approaches. Next to the real illustration of the geometry of the reinforcement in the FE-model, decoupled simulation approaches are used on reduced models, which should approach numerically the material behavior of the reinforcement.
The paper consists the problem of developing a scientific toolkit allowing to predict the thermal state of the ingot during its formation in all elements of the casting and rolling complex, between the crystallizer of the continuous casting machine and exit from the furnace. As the toolkit for the decision making task the predictive mathematical model of the ingot temperature field is proposed. Displacement between the various elements of the CRC is accounted for by changing the boundary conditions. Mass-average enthalpy is proposed as a characteristic of ingot cross-section temperature state. The next methods of solving a number of important problems with the use of medium mass enthalpy are developed: determination of the necessary heat capacity of ingots after the continuous casting machine for direct rolling without heating; determination of the rational time of alignment of the temperature field of ingots having sufficient heat capacity for rolling after casting; determination of the total amount of heat (heat capacity) required to supply the metal for heating ingots that have insufficient amount of internal heat.
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This work demonstrates the numerical modelling of thermal dispersion accompanying the first stage of the friction stir alloying process. It is very important to recognise the temperature field in the modified workpiece in order to identify the zones where the physical material properties are changing. The temperature gradient leads to a drop of yield strength of the material and, as a consequence, the occurrence of the possibility of plastic flow around the tool. An attempt has been made to analyse the axisymmetric thermal problem described by a Fourier equation with an internal heat source in which the heat is derived only from work of frictional forces occurring between the workpiece and the tool material. The example under consideration focuses on the production of an Al-TiC composite using FSA technology. Macrostructure images of the composite and the simulation results confirm the correctness of the applied mathematical model, where the obtained temperature field corresponds with specific FSA zones.
PL
Praca dotyczy numerycznego modelowania rozkładu temperatury towarzyszącej pierwszej fazie procesu stopowania tarciowego z mieszaniem materiału. Bardzo ważne jest określenie pola temperatury w modyfikowanym materiale w celu identyfikacji obszarów, gdzie właściwości fizyczne materiału ulegają zmianie. Występujący gradient temperatury powoduje obniżenie granicy plastyczności, czego konsekwencją jest umożliwienie plastycznego płynięcia materiału wokół narzędzia mieszającego. Podjęto próbę analizy obrotowo symetrycznego problemu opisanego równaniem typu Fouriera z wewnętrznym źródłem ciepła, gdzie generowane ciepło pochodzi jedynie od pracy sił tarcia występujących pomiędzy materiałem bazowym a materiałem narzędzia. Rozważany problem skupiał się na analizie procesu wytwarzania kompozytu Al-TiC za pomocą technologii FSA . Zdjęcia makrostruktury kompozytu oraz wyniki symulacji numerycznej potwierdzają poprawność zastosowanego modelu matematycznego, a otrzymane pole temperatury nawiązuje do stref właściwych dla procesu FSA.
The current study is a simplification of related components of large floating roof tank and modeling for three dimensional temperature field of large floating roof tank. The heat transfer involves its transfer between the hot fluid in the oil tank, between the hot fluid and the tank wall and between the tank wall and the external environment. The mathematical model of heat transfer and flow of oil in the tank simulates the temperature field of oil in tank. Oil temperature field of large floating roof tank is obtained by numerical simulation, map the curve of central temperature dynamics with time and analyze axial and radial temperature of storage tank. It determines the distribution of low temperature storage tank location based on the thickness of the reservoir temperature. Finally, it compared the calculated results and the field test data; eventually validated the calculated results based on the experimental results.
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The present study analyzes the natural vibration of non homogeneous visco elastic skew plate (parallelogram plate) with non uniform thickness under temperature field. Here non homogeneity in the plate's material arises due to circular variation in Poisson's ratio. Also the circular variation in thickness causes non uniformity in the shape of the plate. Bi linear temperature variation on the plate along both the axes is being viewed. The equation of motion related to frequency modes are solved by Rayleigh Ritz method. The findings of the present analysis are presented with the help of tables.
In this work, a model of phase transformations during multipass weld surfaced steel casts is presented. In the temperature field calculation algorithm, the influence of the heat of overlaying beads and a self-cooling of previously overlayed beads have been taken into account. The fusion area, full and part transformation zones, by solidus, A1 and A3 and A A1 temperatures has been determined, respectively. The temperatures of the beginning and the end of the phase changes during cooling were determined on the basis of the time-temperature-transformation welding diagram. In the phase change kinetic description, the JMAK law and KM formula were used. Theoretical considerations are illustrated by example of volume share calculations of particular structural components during the weld surfaced 230-450 W steel cast. The results of computation in the graphical forms are presented: welding thermal cycle diagrams and structural share change histories at selected points, as well as temperature and the phase share distributions in cross section.
The results of a modelling of big size single crystal ZnGeP2 growth dynamics in the multi-zone thermal installation based on the vertical variant of the Bridgman technique are given. Trustworthiness of the results modeling is achieved by means of creation of the mathematical model taking into account the particularities of the installation as well as the changes in installation work volume during crystallization. Temperature field changes during crystal growth by numerical technique were examined. It is demonstrated that growth container moving has a significant impact on temperature field in work volume and crystallization isotherm local position. Thus, the actual crystal growth rate differs from the nominal velocity of growth container moving. The data received as a result of modelling should be taken into account in new equipment designing, crystallization process control system development and crystal growth experiments planning.
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