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ANALYSIS OF A MIXED BOUNDARY VALUE PROBLEM FOR A STATIONARY MODEL OF SUBSTANCE CONVECTION WITH VARIABLE VISCOSITY AND DIFFUSION COEFFICIENTS 变黏度和扩散系数物质对流平稳模型的混合边值问题分析
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050018
G.V. Alekseev, Yu.E. Spivak
{"title":"ANALYSIS OF A MIXED BOUNDARY VALUE PROBLEM FOR A STATIONARY MODEL OF SUBSTANCE CONVECTION WITH VARIABLE VISCOSITY AND DIFFUSION COEFFICIENTS","authors":"G.V. Alekseev,&nbsp;Yu.E. Spivak","doi":"10.1134/S0021894424050018","DOIUrl":"10.1134/S0021894424050018","url":null,"abstract":"<p>In this paper, we consider a boundary value problem for a nonlinear mass transfer model that generalizes the classical Boussinesq approximation under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for the substance concentration. It is assumed that the viscosity and diffusion coefficients and the buoyancy force in the model equations depend on the concentration. A mathematical apparatus for studying the problem is developed and used to prove the theorem on the global existence of a weak solution. Sufficient conditions for the problem under study that ensure the local uniqueness of weak solutions are given.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"793 - 801"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NORMAL COORDINATE METHOD FOR STUDYING FORCED OSCILLATIONS OF DISSIPATIVE SYSTEMS IN MECHANICS AND ELECTRICAL ENGINEERING 研究机械和电气工程中耗散系统受迫振荡的正坐标法
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050134
A.G. Petrov, V.A. Rumyantseva
{"title":"NORMAL COORDINATE METHOD FOR STUDYING FORCED OSCILLATIONS OF DISSIPATIVE SYSTEMS IN MECHANICS AND ELECTRICAL ENGINEERING","authors":"A.G. Petrov,&nbsp;V.A. Rumyantseva","doi":"10.1134/S0021894424050134","DOIUrl":"10.1134/S0021894424050134","url":null,"abstract":"<p>The normal coordinate method is used in conservative mechanical systems to reduce two quadratic forms to a sum of squares. In this case, a system of differential equations is split into a system of independent oscillators. A linear dissipative mechanical system with a finite number of degrees of freedom is determined by three quadratic forms: kinetic and potential energy of the system, as well as the Rayleigh dissipation function, which, generally speaking, cannot be reduced to a sum of squares. Conditions are considered under which all three quadratic forms are exactly or approximately reduced to a sum of squares by a single transformation. It is revealed that such systems can be supplemented with normal coordinates in which the system is split into independent second-order systems. This allows one to construct exact or approximate analytical solutions in general form and with an estimated relative error in the case of an approximate solution. The advantages of this approach are shown for problems of theoretical mechanics and electrical engineering, in which analytical solutions are constructed and optimization analysis is carried out. In this case, traditional methods allow only for numerical calculations to be performed for given parameter values.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"917 - 932"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE 管内热对流逆定边界值问题解的性质
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S002189442405002X
V.K. Andreev, I.V. Vakhrameev
{"title":"PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE","authors":"V.K. Andreev,&nbsp;I.V. Vakhrameev","doi":"10.1134/S002189442405002X","DOIUrl":"10.1134/S002189442405002X","url":null,"abstract":"<p>A problem is posed on a joint unsteady unidirectional motion of two immiscible fluids in a cylindrical tube with a constant temperature difference on the solid surface of the tube. From the mathematical viewpoint, this is an adjoint and inverse problem with respect to the pressure gradient of one of the fluids along the tube. The condition of problem overdetermination is a specified unsteady total flow rate of both fluids. A steady solution is found. A priori estimates of the solution of the unsteady problem in a uniform metric are obtained. Based on these estimates, sufficient conditions for input data are formulated at which the steady solution is exponentially stable.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"802 - 814"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
KELVIN–VOIGT IMPULSIVE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS 不可压缩粘弹性流体动力学的Kelvin-voigt脉冲方程
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050031
S.N. Antontsev, I.V. Kuznetsov, S.A. Sazhenkov
{"title":"KELVIN–VOIGT IMPULSIVE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS","authors":"S.N. Antontsev,&nbsp;I.V. Kuznetsov,&nbsp;S.A. Sazhenkov","doi":"10.1134/S0021894424050031","DOIUrl":"10.1134/S0021894424050031","url":null,"abstract":"<p>This paper describes a multidimensional initial-boundary-value problem for Kelvin–Voigt equations for a viscoelastic fluid with a nonlinear convective term and a linear impulsive term, which is a regular junior term describing impulsive phenomena. The impulsive term depends on an integer positive parameter <span>(n)</span>, and, as <span>(nto+infty)</span>, weakly converges to an expression that includes the Dirac delta function that simulates impulsive phenomena at the initial time. It is proven that, as <span>(nto+infty)</span>, an infinitesimal initial layer associated with the Dirac delta function is formed and the family of regular weak solutions of the initial-boundary-value problem converges to a strong solution of a two-scale micro- and macroscopic model.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"815 - 828"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
APPLICATION OF THE THREE-DIMENSIONAL OSTROUMOV—BIRIKH SOLUTION ANALOG TO DESCRIBE THERMOCAPILLARY FLOWS WITH EVAPORATION 应用三维奥斯特鲁莫夫-比里克方程模拟法描述伴有蒸发的热毛细管流
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050079
O.N. Goncharova
{"title":"APPLICATION OF THE THREE-DIMENSIONAL OSTROUMOV—BIRIKH SOLUTION ANALOG TO DESCRIBE THERMOCAPILLARY FLOWS WITH EVAPORATION","authors":"O.N. Goncharova","doi":"10.1134/S0021894424050079","DOIUrl":"10.1134/S0021894424050079","url":null,"abstract":"<p>Two-layer flows of liquid and vapor-gas mixture are studied on the basis of the three-dimensional Ostroumov-Birikh solution subject to the diffusion type of evaporation on a thermocapillary interface. The results of analytical and numerical simulation of convective flows in a channel with solid impermeable walls arising under different temperature conditions are presented. The values of the evaporation mass flow rate and thermocapillary stresses calculated on the basis of the exact solution and obtained experimentally are compared.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"866 - 874"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ANALYTICAL SOLUTION OF BOUNDARY LAYER EQUATIONS FOR A NONLINEARLY VISCOUS DILATANT FLUID ON A FLAT PLATE IN THE CASE WITH MASS TRANSFER 传质情况下平板上非线性粘性膨胀流体边界层方程的解析解
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-02-17 DOI: 10.1134/S0021894424040059
A. N. Popkov
{"title":"ANALYTICAL SOLUTION OF BOUNDARY LAYER EQUATIONS FOR A NONLINEARLY VISCOUS DILATANT FLUID ON A FLAT PLATE IN THE CASE WITH MASS TRANSFER","authors":"A. N. Popkov","doi":"10.1134/S0021894424040059","DOIUrl":"10.1134/S0021894424040059","url":null,"abstract":"<p>An analytical (exact) solution of equations of a two-dimensional boundary layer of a non-Newtonian viscous fluid in the case with mass transfer is obtained with the use of the power-law Ostwald–Reiner model in a particular case with <span>(n = 2)</span> (dilatant fluid). It is noted that the apparent viscosity in this case is described by an expression that coincides with the equation for turbulent viscosity of a Newtonian fluid derived by the Prandtl mixing length model. For the particular case under consideration, it is found that there is an analogy between the flows of a non-Newtonian fluid and a Newtonian fluid with turbulent viscosity.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"624 - 628"},"PeriodicalIF":0.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143431041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ANALYSIS OF NONLINEAR DYNAMICS OF SHELLS USING AN INVARIANT-BASED TRIANGULAR SHELL ELEMENT 基于不变量的三角形壳单元的壳非线性动力学分析
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-02-17 DOI: 10.1134/S0021894424040151
S. V. Levyakov
{"title":"ANALYSIS OF NONLINEAR DYNAMICS OF SHELLS USING AN INVARIANT-BASED TRIANGULAR SHELL ELEMENT","authors":"S. V. Levyakov","doi":"10.1134/S0021894424040151","DOIUrl":"10.1134/S0021894424040151","url":null,"abstract":"<p>It is proposed to use a curvilinear triangular finite element with a small number of degrees of freedom to reduce the computational effort in the numerical solution of problems of nonlinear dynamics of shells using time-stepping integration. Compactness of the finite-element formulation is achieved by applying strain-tensor invariants. In this case, the natural strain components determined in the directions of three coordinate lines parallel to the sides of the element are used. Solutions describing large displacements, rotations, and buckling dynamics are given to demonstrate the capabilities of the proposed finite-element model.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"749 - 761"},"PeriodicalIF":0.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143431036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
BALLISTIC LIMIT OF A THIN PLATE INTERACTING WITH A COMPOUND PROJECTILE 薄板与复合弹丸相互作用的弹道极限
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-02-17 DOI: 10.1134/S0021894424040047
Yu. V. Popov, V. A. Markov, V. V. Selivanov
{"title":"BALLISTIC LIMIT OF A THIN PLATE INTERACTING WITH A COMPOUND PROJECTILE","authors":"Yu. V. Popov,&nbsp;V. A. Markov,&nbsp;V. V. Selivanov","doi":"10.1134/S0021894424040047","DOIUrl":"10.1134/S0021894424040047","url":null,"abstract":"<p>The impact interaction of compound projectiles with thin metal targets is studied, and a method for evaluating the ballistic limit and residual velocity of the projectile is proposed. The compound cylindrical projectile consists of a deformable highly porous nose section and a rigid non-deformable tail section. The velocity of the projectile is considered in the range 200–850 m/s. The problem is solved numerically in a two-dimensional axisymmetric formulation. The motion of the medium is described using the Lagrange method. Calculation results are compared with experimental data. The results are shown to be in good agreement with the results of calculations using available analytical models and experimental data.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"617 - 623"},"PeriodicalIF":0.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143431040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AUTOMATIC IDENTIFICATION OF FLOW SEPARATION IN THREE-DIMENSIONAL BOUNDARY LAYERS 三维边界层流动分离的自动识别
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-02-17 DOI: 10.1134/S0021894424040126
S. A. Kuznetsova, A. V. Boiko, K. V. Dem’yanko, G. V. Zasko, Yu. M. Nechepurenko
{"title":"AUTOMATIC IDENTIFICATION OF FLOW SEPARATION IN THREE-DIMENSIONAL BOUNDARY LAYERS","authors":"S. A. Kuznetsova,&nbsp;A. V. Boiko,&nbsp;K. V. Dem’yanko,&nbsp;G. V. Zasko,&nbsp;Yu. M. Nechepurenko","doi":"10.1134/S0021894424040126","DOIUrl":"10.1134/S0021894424040126","url":null,"abstract":"<p>Modern approaches to visualization and automatic identification of separation regions of three-dimensional boundary layers are discussed. The corresponding algorithms are implemented within the framework of the original LOTRAN software package designed to predict the onset of a laminar-turbulent transition in boundary layers over small-curvature surfaces. Their work is demonstrated using two configurations: a swept wing and a prolate spheroid.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"714 - 724"},"PeriodicalIF":0.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143430778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SPECIFIC FEATURES OF WAVE TRAIN DEVELOPMENT IN A STREAMWISE DISTURBANCE OF A SUPERSONIC BOUNDARY LAYER 超音速边界层湍流扰动中波列发展的特殊特征
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-02-17 DOI: 10.1134/S0021894424040084
A. D. Kosinov, N. V. Semionov, M. V. Piterimova, A. A. Yatskikh, Yu. G. Yermolaev, B. V. Smorodsky, A. V. Shmakova
{"title":"SPECIFIC FEATURES OF WAVE TRAIN DEVELOPMENT IN A STREAMWISE DISTURBANCE OF A SUPERSONIC BOUNDARY LAYER","authors":"A. D. Kosinov,&nbsp;N. V. Semionov,&nbsp;M. V. Piterimova,&nbsp;A. A. Yatskikh,&nbsp;Yu. G. Yermolaev,&nbsp;B. V. Smorodsky,&nbsp;A. V. Shmakova","doi":"10.1134/S0021894424040084","DOIUrl":"10.1134/S0021894424040084","url":null,"abstract":"<p>Distributions of the amplitude of controlled disturbances in space and time and their frequency-wave characteristics are obtained from experimental results on weakly nonlinear development of the wave train in the region of a stationary wake inside the boundary layer on a flat plate at the Mach number M = 2. A stationary streamwise disturbance is generated by a pair of weak oblique shock waves. Controlled disturbances are inserted into the flow by a local high-frequency glow discharge located inside the model. The development of controlled disturbances is analyzed on the basis of the linear theory of hydrodynamic stability. Typical resonant wave triplets are identified. It is found that flow inhomogeneity suppresses the mechanisms of interaction of controlled disturbances.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 4","pages":"647 - 664"},"PeriodicalIF":0.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143430899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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