Modeling of Boundary-Value Problems of Heat Conduction for Multilayered Hollow Cylinder

Tatsiy, R. M.; Стасюк, М. Ф.; Pazen, David; Vovk, S. Ya.

doi:10.1109/infocommst.2018.8632131

Cited by 5 publications

(5 citation statements)

References 5 publications

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“…where t(r, τ) is the temperature, °С; r -radius, m; τ -time, s; c -specific heat capacity of the material, J/(kg•°C); ρ -density of the material, kg/m 3 ; λ -thermal conductivity of the material, W/(m•°С); α -heat transfer coefficient, W/(m 2 •°C). The solution to the problem is studied in detail and described in [18,19].…”

Section: Mathematical Modeling Of Panasonic Ncr18650b Heating Process...mentioning

confidence: 99%

“…where one of the functions u(r, τ) or v(r, τ) is chosen in a special way, and the other is already defined unambiguously [19].…”

Section: Mathematical Modeling Of Panasonic Ncr18650b Heating Process...mentioning

confidence: 99%

“…where f k and γ k correspond to Fourier expansion coefficients, ω k are eigenvalues, R k (r,ω k ) are the corresponding eigenfunctions [19].…”

Section: Mathematical Modeling Of Panasonic Ncr18650b Heating Process...mentioning

confidence: 99%

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Experimental evaluation of the influence of excessive electric current on the fire hazard of lithium-ion power cell

Lazarenko

Berezhanskyi

Pospolitak

et al. 2022

EEJET

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Panasonic NCR18650B (LiNi0.8Co0.15Al0.05O2) lithium-ion power cell (LIPC) and its performance after exposure to excess direct current are considered in this paper. The basic fire hazard indicators (element ignition temperature, flame temperature, element heating time, etc.) were experimentally established and mathematically confirmed for the examined LIPC. According to the results of experimental studies, the time of occurrence of an irreversible thermochemical reaction in a lithium-ion power cell was determined depending on the different DC current strengths. Additionally, the critical temperature of the onset of an irreversible thermochemical reaction and the total combustion temperature of the element have been established. The application of the Joule-Lenz and Fourier laws allowed for a mathematical notation of the dependence (influence) of DC strength over time and the heating of the element to a critical temperature. The heating time of Panasonic NCR18650B LIPC (LiNi0.8Co0.15Al0.05O2) to a critical temperature of 100–150 °C under the influence of excess current was experimentally established and mathematically confirmed. The determined critical indicators of the element (temperature, time, etc.) make it possible to further devise a number of necessary regulatory documents that will allow them to be certified, tested, and, in general, to better understand the dangers that they may pose. A mathematical model was built, which, taking into account the geometrical parameters of the element, makes it possible to calculate the onset of the critical temperature of such elements with excellent geometric parameters without conducting experimental studies

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Section: Mathematical Modeling Of Panasonic Ncr18650b Heating Process...mentioning

confidence: 99%

“…where one of the functions u(r, τ) or v(r, τ) is chosen in a special way, and the other is already defined unambiguously [19].…”

Section: Mathematical Modeling Of Panasonic Ncr18650b Heating Process...mentioning

confidence: 99%

See 1 more Smart Citation

Experimental evaluation of the influence of excessive electric current on the fire hazard of lithium-ion power cell

Lazarenko

Berezhanskyi

Pospolitak

et al. 2022

EEJET

Self Cite

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“…There are well-known methods for solving problems of thermal conductivity [ 54 , 55 , 56 ] and thermoelasticity [ 57 , 58 , 59 ] for bodies with multilayer coatings. Scientists also pay great attention to the analysis of the behaviour and reinforcing effect of thin coatings and overlays applied to cracked plates [ 60 , 61 , 62 , 63 ] and shells [ 64 , 65 , 66 , 67 ].…”

Section: Introductionmentioning

confidence: 99%

Optical and Mechanical Properties of Layered Infrared Interference Filters

Bembenek

Маковійчук

Shatskyi

et al. 2022

Sensors

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The design and manufacturing technology of interference-absorbing short-wave filters based on a layered composition of Si–SiO on a sapphire substrate of various shapes was developed. A transition layer of SiO was applied to the surface of the substrate, alternating with layers of Si–SiO with an odd number of quarter-wave layers of materials with high (Si) and low refractive indices (SiO), and the application of an outer layer of SiO as an appropriate control of the materials’ thickness. The optical properties of the infrared light filter were studied. It was established that the created design of the light filter provides the minimum light transmission in the visible region of the spectrum from 0.38 to 0.78 µm and the maximum in the near infrared region from 1.25 to 5 µm and has stable optical indicators. A method for studying the stress–strain state and strength of a multilayer coating of a light filter under the action of a local arbitrarily oriented load was developed. For simplicity in the analysis and for obtaining results in the analytical form, the one-dimensional model of the configuration “multilayer covering—firm substrate” constructed earlier by authors was used. From a mechanical point of view, the upper protective layer of the multilayer coating was modeled by a flexible plate, and the inner operational composite N-layer was subjected to Winkler’s hypothesis about the proportionality of stresses and elastic displacements.

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“…Operational methods of increasing drilling tool performance involve a scientifically based choice of rational drilling modes, taking into account power [48,49] and temperature interaction [50][51][52], ensuring thorough washing of the well to remove mud [53], and lubrication of friction pair elements [54]. This approach envisages effective technical measures to improve drilling equipment operation, partially:…”

mentioning

confidence: 99%

An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces

Bembenek,

Grydzhuk,

Gajdzik

et al. 2024

Energies

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Currently, drilling of directional oil and gas wells under complex technical-technological and mining-geological conditions requires the use of drill pipes made of various materials. In turn, to choose rational modes of strengthening drill pipes and drill string layouts, information on the contact forces and friction forces of the drill string pipes on boreholes is necessary. Drill pipe curved sections friction with boreholes and drill bit resistance moment changes are the main causes of uneven rotation of a drill string during rotary or combined drilling methods and the occurrence of parametric oscillations. To reduce the cost of mechanical energy for well wiring, it is necessary to take into account the “drill string–borehole rocks” force interaction to estimate the magnitude of the frictional forces and their influence on the technological parameters of the drilling process. To solve this problem, mathematical models of “conventionally vertical and inclined drill string sections–borehole” were built. Based on the industrial data, an analysis of the force interaction of a deformed drill string composed of pipes made of different materials (aluminum, titanium, steel) was carried out. Analytical dependences were obtained for determining the contact forces and friction of the pipes on boreholes. A numerical study of the change of these power factors depending on the depth of the well under conditions of intensive vibration loading was carried out. The amplitude values of these forces, the frequency of their change for good sections, as well as the places for the most rational installation of drill pipes in the layout of the drill string were estimated. It was established that the intensity of contact and friction forces for steel drill pipes is greater than for titanium or aluminum ones. It is shown that the greater impact of a solid steel string on contact forces and frictional forces compared to a layout with sections of titanium or aluminum pipes in the range of vibration frequencies of 8–22 Hz corresponds to a bit rotation frequency of 70–80 rpm. The practical application of the obtained research results will contribute to the improvement of technical and economic indicators of the well drilling process.

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Modeling of Boundary-Value Problems of Heat Conduction for Multilayered Hollow Cylinder

Cited by 5 publications

References 5 publications

Experimental evaluation of the influence of excessive electric current on the fire hazard of lithium-ion power cell

Experimental evaluation of the influence of excessive electric current on the fire hazard of lithium-ion power cell

Optical and Mechanical Properties of Layered Infrared Interference Filters

An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces

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