Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.4.481-491
Y. Nefedyev, A. Andreev, N. Demina
The study of selenophysical parameters with the use of the noise-immune method of robust estimates. Abstract This work is dedicated to the issues of reducing long-period series of astronomical observations. Such series contain both unequal and erroneous observations. Determination of the desired parameters from such observations is, thus, a rather complicated task. The main challenge is fair assessment of the accuracy of results produced. There are a number of methods for solving this problem, but the most suitable one for determining noise-immune estimates is the Huber M -estimator method (NIHEM). The selenophysical parameters were found by the analysis of measurements of the Mösting A crater from the Kaguya and Apollo lunar missions and from the heliometric observations. Such observations have a complex internal structure, and their analysis with the use of the method of least squares makes it impossible to either assess and eliminate erroneous measurements or take into account the unequal accuracy of the observations taken. Hence, to derive the desired selenophysical parameters, the NIHEM approach was used. As a result, the values and estimates of the Mösting A crater’s radius-vector, its selenographic longitude and latitude, lunar obliquity, values of harmonics in the expansion of physical libration into longitude, and corrections to the mean radius of the Moon were obtained.
利用抗噪声鲁棒估计方法研究硒物理参数。摘要:本文致力于研究长周期系列天文观测的缩短问题。这样的序列包含了不相等和错误的观测结果。因此，从这种观测中确定所需参数是一项相当复杂的任务。主要的挑战是对所产生结果的准确性进行公平评估。有许多方法可以解决这个问题，但最适合确定噪声免疫估计的方法是Huber M -估计方法(NIHEM)。月球物理参数是通过分析月亮女神号和阿波罗号登月任务对Mösting A陨石坑的测量结果以及日冕测量结果发现的。这些观测值具有复杂的内部结构，使用最小二乘法对它们进行分析，既无法评估和消除错误的测量，也无法考虑到所取观测值的不相等精度。因此，为了获得所需的硒物理参数，采用了NIHEM方法。得到了Mösting a陨石坑的半径矢量、月面经纬度、月球倾角、物理振动向经度扩展时的谐波值以及月球平均半径的修正值和估价值。
{"title":"The Study of Selenophysical Parameters with the Use of the Noise-Immune Method of Robust Estimates","authors":"Y. Nefedyev, A. Andreev, N. Demina","doi":"10.26907/2541-7746.2020.4.481-491","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.4.481-491","url":null,"abstract":"The study of selenophysical parameters with the use of the noise-immune method of robust estimates. Abstract This work is dedicated to the issues of reducing long-period series of astronomical observations. Such series contain both unequal and erroneous observations. Determination of the desired parameters from such observations is, thus, a rather complicated task. The main challenge is fair assessment of the accuracy of results produced. There are a number of methods for solving this problem, but the most suitable one for determining noise-immune estimates is the Huber M -estimator method (NIHEM). The selenophysical parameters were found by the analysis of measurements of the Mösting A crater from the Kaguya and Apollo lunar missions and from the heliometric observations. Such observations have a complex internal structure, and their analysis with the use of the method of least squares makes it impossible to either assess and eliminate erroneous measurements or take into account the unequal accuracy of the observations taken. Hence, to derive the desired selenophysical parameters, the NIHEM approach was used. As a result, the values and estimates of the Mösting A crater’s radius-vector, its selenographic longitude and latitude, lunar obliquity, values of harmonics in the expansion of physical libration into longitude, and corrections to the mean radius of the Moon were obtained.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"15 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84340860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.1.27-37
A. Aganin, M. A. Il’gamov, I. Mustafin
{"title":"Selenophysics and Models of the Lunar Three-Layered Mantle","authors":"A. Aganin, M. A. Il’gamov, I. Mustafin","doi":"10.26907/2541-7746.2020.1.27-37","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.1.27-37","url":null,"abstract":"","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"85 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78176521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.3.335-349
S. A. Lozhkin, D.S. Kinzhikeyeva
{"title":"On the Structure, Complexity, and Depth of the Circuits over the Basis {&, ∨} Realizing Step Boolean Functions","authors":"S. A. Lozhkin, D.S. Kinzhikeyeva","doi":"10.26907/2541-7746.2020.3.335-349","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.3.335-349","url":null,"abstract":"","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"40 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76361493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.2.111-119
A. V. Aminova, D. R. Khakimov
The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h -space H 32 of non-constant curvature was found. Necessary and sufficient conditions were established for the existence of a non-homothetic projective motion in the h- space H 32 of non-constant curvature, and, as a consequence, the structure of the non-homothetic projective Lie algebra in this space was determined.
{"title":"On the Properties of the Projective Lie Algebras of Rigid h-Spaces H32 of the Type {32}","authors":"A. V. Aminova, D. R. Khakimov","doi":"10.26907/2541-7746.2020.2.111-119","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.2.111-119","url":null,"abstract":"The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h -space H 32 of non-constant curvature was found. Necessary and sufficient conditions were established for the existence of a non-homothetic projective motion in the h- space H 32 of non-constant curvature, and, as a consequence, the structure of the non-homothetic projective Lie algebra in this space was determined.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"26 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85155274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.2.160-179
V. Paimushin, R. Gazizullin
Two problems of the monoharmonic sound wave transmission through a thin rectangular composite plate hinged in the opening of an absolutely stiff dividing wall were considered using the discrete layered damping model of a multilayer plate at small displacements and deformations, with account of the internal damping of layers according to the Kelvin–Voight model. In setting the first problem, it was assumed that the plate located between two semiinfinite spaces and a plane sound wave with a given amplitude value of the pressure is incident on it. In setting the second problem, it was considered that the plate is situated between two absolutely stiff barriers; one of them, owing to the harmonic vibration with a given displacement amplitude of the plate, forms an incident sound wave, while the other is stationary and coated by an energy-absorbing material with high damping properties. Behavior of the acoustic media was described by the classical wave equations based on the model of an ideal compressible fluid. Exact analytical solutions of the formulated problems were constructed. With their help, the sound insulation parameter of composite plate reinforced with carbon fiber textile was studied and the characteristics of its stress-strain state were investigated depending on the frequency of the incident sound wave. It was shown that the mechanics of the deformation of structural elements made of fiber-reinforced composites under high-frequency acoustic impact must be described by refined equations of motion, which have a high degree of accuracy and pithiness, because the stress-strain state formed in them are almost three-dimensional.
{"title":"Refined Analytical Solutions of the Coupled Problems on Free and Forced Vibrations of a Rectangular Composite Plate Surrounded by Acoustic Media","authors":"V. Paimushin, R. Gazizullin","doi":"10.26907/2541-7746.2020.2.160-179","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.2.160-179","url":null,"abstract":"Two problems of the monoharmonic sound wave transmission through a thin rectangular composite plate hinged in the opening of an absolutely stiff dividing wall were considered using the discrete layered damping model of a multilayer plate at small displacements and deformations, with account of the internal damping of layers according to the Kelvin–Voight model. In setting the first problem, it was assumed that the plate located between two semiinfinite spaces and a plane sound wave with a given amplitude value of the pressure is incident on it. In setting the second problem, it was considered that the plate is situated between two absolutely stiff barriers; one of them, owing to the harmonic vibration with a given displacement amplitude of the plate, forms an incident sound wave, while the other is stationary and coated by an energy-absorbing material with high damping properties. Behavior of the acoustic media was described by the classical wave equations based on the model of an ideal compressible fluid. Exact analytical solutions of the formulated problems were constructed. With their help, the sound insulation parameter of composite plate reinforced with carbon fiber textile was studied and the characteristics of its stress-strain state were investigated depending on the frequency of the incident sound wave. It was shown that the mechanics of the deformation of structural elements made of fiber-reinforced composites under high-frequency acoustic impact must be described by refined equations of motion, which have a high degree of accuracy and pithiness, because the stress-strain state formed in them are almost three-dimensional.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"206 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73968359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.4.426-440
M. Norkin
The process of collapse of a cavern, which is formed following the separation impact pro-duced by a rectangular cylinder in an ideal, incompressible, and heavy liquid, was studied. Assuming that the speed of the cylinder is low, asymptotics of the main characteristics of the impact were constructed. The difficulties arising in this case are mainly related to the fact that the dynamics of the separation points is not known in advance and depends on a small parameter, i.e., on the dimensionless velocity of the cylinder. With the help of a special change of variables, the matter was reduced to the study of a problem with the dynamics of separation points corresponding to the leading approximation independent of the indicated parameter. This enabled us to determine the second term of the asymptotics with account for the nonlinear terms in the model. In the leading approximation, a problem with a free boundary, which is similar to the classical model of an impact with separation at each fixed moment of time, was formulated. On the basis of the first two terms of the asymptotics, the process of collapse of the cavern was described with allowance for the rise of the inner free boundary of the liquid. Comparison with the previously obtained results was carried out.
{"title":"Asymptotics of Slow Motions of a Rectangular Cylinder in a Liquid after a Separation Impact","authors":"M. Norkin","doi":"10.26907/2541-7746.2020.4.426-440","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.4.426-440","url":null,"abstract":"The process of collapse of a cavern, which is formed following the separation impact pro-duced by a rectangular cylinder in an ideal, incompressible, and heavy liquid, was studied. Assuming that the speed of the cylinder is low, asymptotics of the main characteristics of the impact were constructed. The difficulties arising in this case are mainly related to the fact that the dynamics of the separation points is not known in advance and depends on a small parameter, i.e., on the dimensionless velocity of the cylinder. With the help of a special change of variables, the matter was reduced to the study of a problem with the dynamics of separation points corresponding to the leading approximation independent of the indicated parameter. This enabled us to determine the second term of the asymptotics with account for the nonlinear terms in the model. In the leading approximation, a problem with a free boundary, which is similar to the classical model of an impact with separation at each fixed moment of time, was formulated. On the basis of the first two terms of the asymptotics, the process of collapse of the cavern was described with allowance for the rise of the inner free boundary of the liquid. Comparison with the previously obtained results was carried out.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"12 21","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72388095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.3.259-268
F. Ablayev
Modern quantum technologies are NISQ (Noisy Intermediate-Scale Quantum) devices, which are used to create insufficiently accurate quantum computers with low computing power. However, quantum technologies have advanced considerably during the past years. Thus, the issue of demonstrating “quantum supremacy” in the era of NISQ technologies is on the agenda. This study demonstrates that “quantum supremacy” is forthcoming. We propose procedures for constructing a universal family of hash functions based on a quantum hashing process that maps the original sequence w to a quantum hash state and then by random trans-formation to the state | ψ (cid:105) and generating the sequence u , which is an approximate description of the state | ψ (cid:105) . We proved that the proposed procedure generates a family of nondeterministic hash functions F , which allow us to reliably distinguish between different arguments. The F family can be considered an (cid:178) -universal family of nondeterministic hash functions. We assume that the development of this research area will cast light on the effect of “quantum supremacy” and will also have a certain impact on the advance of post-quantum cryptography.
{"title":"Universal Hash Functions from Quantum Procedures","authors":"F. Ablayev","doi":"10.26907/2541-7746.2020.3.259-268","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.3.259-268","url":null,"abstract":"Modern quantum technologies are NISQ (Noisy Intermediate-Scale Quantum) devices, which are used to create insufficiently accurate quantum computers with low computing power. However, quantum technologies have advanced considerably during the past years. Thus, the issue of demonstrating “quantum supremacy” in the era of NISQ technologies is on the agenda. This study demonstrates that “quantum supremacy” is forthcoming. We propose procedures for constructing a universal family of hash functions based on a quantum hashing process that maps the original sequence w to a quantum hash state and then by random trans-formation to the state | ψ (cid:105) and generating the sequence u , which is an approximate description of the state | ψ (cid:105) . We proved that the proposed procedure generates a family of nondeterministic hash functions F , which allow us to reliably distinguish between different arguments. The F family can be considered an (cid:178) -universal family of nondeterministic hash functions. We assume that the development of this research area will cast light on the effect of “quantum supremacy” and will also have a certain impact on the advance of post-quantum cryptography.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"68 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80267213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.2.211-222
A. M. Shaimardanov, V. Kaurov, E. A. Petrova
The wave-corpuscle method for description of atomic photoionization by a flux of photons in the visible and X-ray range was developed and applied. Using the calculated photoionization probability in the asymptotics, we obtained the desired approximate Heitler formula for atomic photoionization probability in the final form with the angular distribution of photoelectrons. The role of the Rayleigh scattering accompanying the photoemissive effect was considered.
{"title":"A Semiclassical Approach Reproducing Asymptotically the Heitler Formula for Atomic Photoionization","authors":"A. M. Shaimardanov, V. Kaurov, E. A. Petrova","doi":"10.26907/2541-7746.2020.2.211-222","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.2.211-222","url":null,"abstract":"The wave-corpuscle method for description of atomic photoionization by a flux of photons in the visible and X-ray range was developed and applied. Using the calculated photoionization probability in the asymptotics, we obtained the desired approximate Heitler formula for atomic photoionization probability in the final form with the angular distribution of photoelectrons. The role of the Rayleigh scattering accompanying the photoemissive effect was considered.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90260588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.3.359-366
G. Temerbekova, D. S. Romanov
Detection testing of Boolean functions implemented by Boolean circuits, which are affected by single replacements of gates with inverters, was discussed. The relevance of the study is determined by the fact that replacements of gates with inverters is a type of malfunction that occurs in the development and production of VLSI. The study was carried out in order to prove the possibility of constructing easily testable circuits under replacing elements with inverters. To achieve this goal, special methods for the synthesis of easily testable circuits were developed. Based on the results of the study, the following conclusions were drawn: for an arbitrary Boolean function implemented over a Zhegalkin basis B 1 = { x & y, x ⊕ y, 1} , there is an irredundant circuit that allows a single detection test set consisting of one vector; for an arbitrary Boolean function implemented over a standard basis B 0 = { x & y, x ∨ y, x ¯} , there is an irredundant circuit that allows a single detection test set consisting of two vectors.
讨论了由布尔电路实现的布尔函数的检测测试，该测试受逆变器单次更换门的影响。该研究的相关性取决于这样一个事实，即用逆变器替换栅极是一种在超大规模集成电路的开发和生产中发生的故障。本研究是为了证明在用逆变器代替元件的情况下，构建易于测试的电路的可能性。为了实现这一目标，开发了易于测试的电路合成的特殊方法。根据研究结果，得出以下结论:对于在Zhegalkin基上实现的任意布尔函数b1 = {x & y, x⊕y, 1}，存在允许由一个向量组成的单个检测测试集的非冗余电路;对于在标准基B 0 = {x & y, x, x¯}上实现的任意布尔函数，存在一个允许由两个向量组成的单个检测测试集的不冗余电路。
{"title":"On Single Detection Test Sets under Replacements of Gates with Inverters","authors":"G. Temerbekova, D. S. Romanov","doi":"10.26907/2541-7746.2020.3.359-366","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.3.359-366","url":null,"abstract":"Detection testing of Boolean functions implemented by Boolean circuits, which are affected by single replacements of gates with inverters, was discussed. The relevance of the study is determined by the fact that replacements of gates with inverters is a type of malfunction that occurs in the development and production of VLSI. The study was carried out in order to prove the possibility of constructing easily testable circuits under replacing elements with inverters. To achieve this goal, special methods for the synthesis of easily testable circuits were developed. Based on the results of the study, the following conclusions were drawn: for an arbitrary Boolean function implemented over a Zhegalkin basis B 1 = { x & y, x ⊕ y, 1} , there is an irredundant circuit that allows a single detection test set consisting of one vector; for an arbitrary Boolean function implemented over a standard basis B 0 = { x & y, x ∨ y, x ¯} , there is an irredundant circuit that allows a single detection test set consisting of two vectors.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86428464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.26907/2541-7746.2020.1.38-51
V. M. Zubarev
The effect of the scale and the high intensity of incident-flow turbulence in a boundary layer on a smooth plane plate with rounded edge (experiment T3H) under a zero pressure gradient was analyzed. Using the well-known experimental and calculated data, the modeling problem of the initially laminar boundary layer transfer to the turbulent one was investigated by the numerical methods on the basis of the near-wall modified turbulence model with two additional transfer equations for the turbulent kinetic energy and the turbulence dissipation rate. Turbulent flows modeling near the flat surface with the high level of incident-flow turbulence is complicated by two general problems: the definition and description of the laminar-to-turbulent transfer along the surface and the viscous sublayer precise resolution under the developed turbulent mode. For the inviscid liquid flowing along the flat plate with the high turbulence degree of more than 1%, the turbulence scale and the incident-flow turbulence intensity joint influence on the flow dynamic and integral characteristics in the boundary layer and turbulence parameters was studied in detail.
{"title":"The Influence of Strongly Turbulized Liquid Flow Parameters on the Near-Wall Transitional Flows in the Boundary Layer","authors":"V. M. Zubarev","doi":"10.26907/2541-7746.2020.1.38-51","DOIUrl":"https://doi.org/10.26907/2541-7746.2020.1.38-51","url":null,"abstract":"The effect of the scale and the high intensity of incident-flow turbulence in a boundary layer on a smooth plane plate with rounded edge (experiment T3H) under a zero pressure gradient was analyzed. Using the well-known experimental and calculated data, the modeling problem of the initially laminar boundary layer transfer to the turbulent one was investigated by the numerical methods on the basis of the near-wall modified turbulence model with two additional transfer equations for the turbulent kinetic energy and the turbulence dissipation rate. Turbulent flows modeling near the flat surface with the high level of incident-flow turbulence is complicated by two general problems: the definition and description of the laminar-to-turbulent transfer along the surface and the viscous sublayer precise resolution under the developed turbulent mode. For the inviscid liquid flowing along the flat plate with the high turbulence degree of more than 1%, the turbulence scale and the incident-flow turbulence intensity joint influence on the flow dynamic and integral characteristics in the boundary layer and turbulence parameters was studied in detail.","PeriodicalId":41863,"journal":{"name":"Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki","volume":"74 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83760224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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