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ROTATIONAL SEDIMENTATION IN NEUTRALLY BUOYANT PARTICLE SUSPENSIONS 中性浮力颗粒悬浮液的旋转沉降
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050195
V.V. Shelukhin, V.V. Neverov
{"title":"ROTATIONAL SEDIMENTATION IN NEUTRALLY BUOYANT PARTICLE SUSPENSIONS","authors":"V.V. Shelukhin,&nbsp;V.V. Neverov","doi":"10.1134/S0021894424050195","DOIUrl":"10.1134/S0021894424050195","url":null,"abstract":"<p>Rotational sedimentation of neutrally buoyant particles in suspensions in the case of two-dimensional circular flows between two cylinders is studied by mathematical simulation. Particle separation in the absence of gravity is caused by rotation of the inner cylinder. It is revealed that sedimentation depends on particle rotation. Within the framework of the Cosserat continuum, the suspension is considered as a micropolar fluid. The effect of the eccentricity of noncoaxial cylinders on the sedimentation front is investigated.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"985 - 993"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793075","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
HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS 粘弹性流体非稳态流动的双曲模型
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050110
V.Yu Liapidevskii, V.V. Neverov, S.R. Karmushin
{"title":"HYPERBOLIC MODELS OF UNSTEADY FLOWS OF VISCOELASTIC FLUIDS","authors":"V.Yu Liapidevskii,&nbsp;V.V. Neverov,&nbsp;S.R. Karmushin","doi":"10.1134/S0021894424050110","DOIUrl":"10.1134/S0021894424050110","url":null,"abstract":"<p>Unsteady one-dimensional shear flows of a viscoelastic fluid are considered. A general approach is formulated for fluids with several relaxation times, which allows the known models of viscoelastic flows to be presented as evolutionary systems of first-order equations. Conditions of hyperbolicity of flow classes considered are found for the Johnson–Segalman, Giesekus, and Rolie-Poly models. The equations of motion of the viscoelastic fluid are presented in the form of a full nonlinear system of conservation laws. A method of calculating unsteady discontinuous flows within the framework of the models under consideration is proposed. The class of unsteady Couette flows in the gap between the cylinders used in rheological tests is studied numerically. The process of shear banding and its influence on the structure of steady flows are investigated. The numerical results obtained are compared with experimental data.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"895 - 906"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793076","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
NOTE ON THE CORRESPONDENCE OF SOLUTIONS OF SOME SYSTEMS OF EQUATIONS 关于某些方程组解的对应关系的说明
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050109
A.G. Kulikovskii
{"title":"NOTE ON THE CORRESPONDENCE OF SOLUTIONS OF SOME SYSTEMS OF EQUATIONS","authors":"A.G. Kulikovskii","doi":"10.1134/S0021894424050109","DOIUrl":"10.1134/S0021894424050109","url":null,"abstract":"<p>This paper considers hyperbolic systems of equations of a certain type that describe one-dimensional nonlinear waves propagating in the same way in both <span>(x)</span> directions. Each system of this type can be put into correspondence with a hyperbolic system of equations of halved order derived based on the initial system of equations. The similarity of the solutions of this system of equations and the original one is studied.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"890 - 894"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793077","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
SCREW FLOWS AND THEIR TWO-DIMENSIONAL ANALOGS 螺旋流动及其二维类似物
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050158
V.V. Pukhnachev
{"title":"SCREW FLOWS AND THEIR TWO-DIMENSIONAL ANALOGS","authors":"V.V. Pukhnachev","doi":"10.1134/S0021894424050158","DOIUrl":"10.1134/S0021894424050158","url":null,"abstract":"<p>Publications dealing with investigations of screw fluid flows with collinear velocity and vortex vectors are reviewed. New solutions are presented for the Navier–Stokes equations for an incompressible fluid and second-grade fluid equations, which are two-dimensional analogs of screw flows.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"944 - 951"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793082","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
IDENTIFICATION AND PREDICTION OF A PLANE VORTEX FLOW BY USING THE RANKINE VORTICES 利用秩ine涡流识别和预测平面涡流
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050055
V.N. Govorukhin
{"title":"IDENTIFICATION AND PREDICTION OF A PLANE VORTEX FLOW BY USING THE RANKINE VORTICES","authors":"V.N. Govorukhin","doi":"10.1134/S0021894424050055","DOIUrl":"10.1134/S0021894424050055","url":null,"abstract":"<p>One possible formulation of the inverse problem of identification of the vortex structure based on the flow velocity vectors at a set of points is considered, and an algorithmic method of its solution is proposed. The approach is based on the vortex structure presentation by a combination of the Rankine vortices. Identification is understood as determination of the number of model vortices, their intensities, centers, and radii. The method implies minimization in space of the parameters of the model system of the objective functional estimating the closeness of the known and modeled velocity vectors. The algorithm includes the following stages: search for the initial approximation for the vortex structure, refinement of the model vortex parameters, and correction of the resultant structure. Solving the direct problem of the flow development prediction is based on solving the initial-boundary value problem for the Euler equation for the ideal fluid dynamics by the spectral-vortex method. Results of test computations performed by the proposed approach are presented. It is demonstrated that the model system in all test computations ensures a sufficiently accurate description of the topology of streamlines during identification. Predictions at times corresponding to changes in the flow topology are obtained.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"844 - 857"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793073","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 THE VISCOELASTIC MAXWELL EQUATIONS WITH A CRITICAL POINT IN CYLINDRICAL GEOMETRY 圆柱几何中带临界点的粘弹性maxwell方程的解析解
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050183
C. Chittam, S.V. Meleshko
{"title":"ANALYTICAL SOLUTION OF THE VISCOELASTIC MAXWELL EQUATIONS WITH A CRITICAL POINT IN CYLINDRICAL GEOMETRY","authors":"C. Chittam,&nbsp;S.V. Meleshko","doi":"10.1134/S0021894424050183","DOIUrl":"10.1134/S0021894424050183","url":null,"abstract":"<p>This paper examines two-dimensional flows near a free critical point of an incompressible viscoelastic Maxwell medium using the Johnson-Segalman convected derivative. The flow is assumed to be axisymmetric, and its velocity profile is linear along the axial coordinate. A general exact analytical solution is found for the problem of the distribution of the stress tensor components near the stagnation point.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"980 - 984"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793085","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
DEPENDENCE OF HEAT EXCHANGE IN AN EVAPORATING LIQUID FILM IN A MICROCHANNEL ON HEATER SIZE 微通道中蒸发液膜的热交换与加热器尺寸的关系
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050092
V.V. Kuznetsov
{"title":"DEPENDENCE OF HEAT EXCHANGE IN AN EVAPORATING LIQUID FILM IN A MICROCHANNEL ON HEATER SIZE","authors":"V.V. Kuznetsov","doi":"10.1134/S0021894424050092","DOIUrl":"10.1134/S0021894424050092","url":null,"abstract":"<p>Heat exchange in a liquid film moving along the microchannel bottom is calculated using the developed three-dimensional steady-state model of the liquid film motion. The liquid moves under the action of a cocurrent gas flow in the channel, with a square heater located at its bottom. In this case, the action of all the main physical factors during their interaction is taken into account: diffusive/convective heat transfer, dependence of the liquid properties on temperature, thermocapillary effect, occurrence/growth of surface deformations, and evaporation/condensation of the liquid. It is revealed that heater size significantly affects temperature fields, surface deformations, and temperature extremes. An equation for calculating the greatest excess of mean temperature achieved on the substrate is derived.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"882 - 889"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793242","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
FREE MOTION OF A CYLINDER UNDER THE SURFACE OF A DEEP FLUID 圆柱体在深层流体表面下的自由运动
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI: 10.1134/S0021894424050067
A.E. Golikov, N.I. Makarenko
{"title":"FREE MOTION OF A CYLINDER UNDER THE SURFACE OF A DEEP FLUID","authors":"A.E. Golikov,&nbsp;N.I. Makarenko","doi":"10.1134/S0021894424050067","DOIUrl":"10.1134/S0021894424050067","url":null,"abstract":"<p>A nonlinear problem of unsteady motion of a circular cylinder in an ideal infinitely deep fluid under the action of arising hydrodynamic loads is considered. A method of reducing the solution of the initial mathematical problem to the solution of an equivalent integrodifferential system of equations for the function determining the shape of the sought free surface for the normal and tangential components of the fluid velocity on the free surface, and for the unknown trajectory of cylinder motion is used. The initial (in terms of time) asymptotic curve of the solution, which describes the cylinder motion from the state at rest is constructed.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"858 - 865"},"PeriodicalIF":0.5,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793074","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
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
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