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Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe 无梯度突变的一维气体动力学方程组精确解的构造
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-05-02 DOI: 10.1134/S0015462822601899
A. V. Aksenov, K. P. Druzhkov
{"title":"Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe","authors":"A. V. Aksenov,&nbsp;K. P. Druzhkov","doi":"10.1134/S0015462822601899","DOIUrl":"10.1134/S0015462822601899","url":null,"abstract":"<p>The system of equations that describes one-dimensional polytropic gas flows is considered. The invariants up to the second order of characteristics of the considered system of equations are classified. The method of reducing the Cauchy problems to systems of ordinary differential equations is proposed. Examples of the solutions without gradient catastrophe are constructed using invariants of characteristics supplementary to the Riemann invariants.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 1","pages":"136 - 144"},"PeriodicalIF":0.9,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4097042","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
Effect of Particle Thermophoresis on Convection of Magnetic Fluids in Narrow Channels Heated from Below 颗粒热泳动对从下加热的狭窄通道中磁流体对流的影响
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-05-02 DOI: 10.1134/S0015462822601863
A. F. Glukhov, A. S. Sidorov
{"title":"Effect of Particle Thermophoresis on Convection of Magnetic Fluids in Narrow Channels Heated from Below","authors":"A. F. Glukhov,&nbsp;A. S. Sidorov","doi":"10.1134/S0015462822601863","DOIUrl":"10.1134/S0015462822601863","url":null,"abstract":"<p>The effect of positive thermodiffusion of colloidal particles under convection of magnetic fluids in connected vertical channels of 3.2 × 3.2 mm<sup>2</sup> square cross-section and height 50 mm heated from below is analyzed. Below the critical Rayleigh number, particle thermophoresis in vertical generates unstable density stratification in fluid at rest. This leads to rapid bursts (~1 min) of concentration convection arising periodically (~4 h). Under developed convection, above the critical Rayleigh number particle thermophoresis in horizontal direction generates concentration inhomogeneities in the neighborhood of the channel walls and provokes convective flow instability that leads to the periodic change (~1 h) in the direction of convective stream. The reasons of the oscillatory instability of mechanical equilibrium observed experimentally at positive sign of the Soret coefficient are discussed.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 1","pages":"45 - 56"},"PeriodicalIF":0.9,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4097045","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
Gas Dynamic Models of the Interaction between the Solar Wind and Cometary Atmospheres 太阳风与彗星大气相互作用的气体动力学模型
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-29 DOI: 10.1134/S0015462822700045
V. B. Baranov
{"title":"Gas Dynamic Models of the Interaction between the Solar Wind and Cometary Atmospheres","authors":"V. B. Baranov","doi":"10.1134/S0015462822700045","DOIUrl":"10.1134/S0015462822700045","url":null,"abstract":"<p>Gas dynamic models of the interaction between the solar wind and cometary atmospheres are considered. Interest in the development of such models arose sharply after the beginning of the investigations of comets with the use of spacecraft launched at distances close to their surfaces. The instruments on this spacecraft gave the possibility to investigate experimentally the parameters of gas flow out from the cometary surfaces when the comets approach the Sun and its interaction with the solar wind plasma flow, which could not be made using only the spectral photometry. The beginning of such studies was started by almost instantaneous approaching of several space probes to Halley’s Comet on March 1986. Only after 28 years, the Rosetta spacecraft launched by the European Space Agency (ESA) along a complex trajectory have approached comet Churyumov–Gerasimenko and, maneuvering in the neighborhood of this comet during more than two years, it, in particular, have investigated the interaction of the cometary atmosphere and the solar wind.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 9","pages":"1023 - 1040"},"PeriodicalIF":0.9,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5124018","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
Modal and Non-Modal Stability of the Heated Flat-Plate Boundary Layer with Temperature-Dependent Viscosity 具有温度依赖粘度的加热平板边界层的模态和非模态稳定性
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-29 DOI: 10.1134/S0015462822601632
M. Thummar, R. Bhoraniya, V. Narayanan
{"title":"Modal and Non-Modal Stability of the Heated Flat-Plate Boundary Layer with Temperature-Dependent Viscosity","authors":"M. Thummar,&nbsp;R. Bhoraniya,&nbsp;V. Narayanan","doi":"10.1134/S0015462822601632","DOIUrl":"10.1134/S0015462822601632","url":null,"abstract":"<p>This paper presents a modal and non-modal stability analysis of the boundary layer developed on a hot plate. A liquid-type temperature-dependent viscosity model has been considered to account for the viscosity variation in the boundary layer region. The base flow is uniform and parallel to the surface at the leading edge. The base flow solution is obtained using an open-source finite volume source code. The Reynolds number (Re) is defined based on the displacement thickness (δ*) at the inlet of the computation domain. The spectral collocation method is used for spatial discretization of governing stability equations. The formulated generalized eigenvalue problem (EVP) is solved using Arnoldi’s iterative algorithm with the shift and invert strategy. The global temporal eigenmodes are calculated for the sensitivity parameter β from 1 to 7, Re = 135, 270, and 405, and the span wise wave-number <i>N</i> from 0 to 1. The modal and non-modal stability analysis have been performed to study the least stable eigenmodes and the optimal initial conditions and perturbations (using mode superposition), respectively. The global temporal eigenmodes are found more stable for β &gt; 0 at a given value of <i>N</i>. Thus, heating the boundary layer within the considered range of β (0 &lt; β ≤ 7) leads to the stabilization of flow. The optimal energy growth increases with the β due to reducing the perturbation energy loss. Tilted elongated structures of the optimal perturbations are found near the outflow boundary. However, the length scale of the elongated cellular mode structure reduces with increase in β. The same qualitative structure of the optimal perturbations has been found at a given value of <i>N</i>.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 3","pages":"450 - 475"},"PeriodicalIF":0.9,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5124821","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
Numerical Study of a Rotationally Oscillating Cylinder at Low Reynolds Numbers 低雷诺数下旋转振荡圆柱体的数值研究
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-29 DOI: 10.1134/S0015462822601930
M. S. Mikhailov, Y. Bao, Z. L. Han, H. B. Zhu
{"title":"Numerical Study of a Rotationally Oscillating Cylinder at Low Reynolds Numbers","authors":"M. S. Mikhailov,&nbsp;Y. Bao,&nbsp;Z. L. Han,&nbsp;H. B. Zhu","doi":"10.1134/S0015462822601930","DOIUrl":"10.1134/S0015462822601930","url":null,"abstract":"<p>A numerical study on the rotary oscillating cylinder subjected to a free stream has been conducted. Two-dimensional direct numerical simulations have been performed using the spectral/hp element method implemented in the Nektar++ source code. The numerical simulations have been conducted at low values of the Reynolds number of 200. This paper focuses on three characteristics of flow: the hydrodynamic forces exerted on the cylinder, the wake patterns behind the cylinder, and the lock on phenomenon. The numerical simulations on the rotary oscillating cylinder have been performed over the extensive range of non-dimensional forcing frequency, from 0.2 to 5 and two different values of the cylinder oscillation amplitude equal to 2π/3 and 5π/3. It was observed that increase in the oscillation amplitude greatly influences the wake pattern and the lock on phenomenon. It was found that a more than double increase in the cylinder oscillation amplitude produces a significant increase in the maximum mean drag and the fluctuating lift. The influence of the forcing frequency and oscillation amplitude on the drag and lift has been quantified. Furthermore, the effect of the forcing frequency and oscillation amplitude on the cylinder wake has been thoroughly analyzed.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"58 3","pages":"438 - 449"},"PeriodicalIF":0.9,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5124635","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: 1
On the Radial Spread of Petroleum Products on the Surface of Water 石油产品在水面上的径向扩散
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-02 DOI: 10.1134/S0015462822080043
A. V. Kistovich, T. O. Chaplina, V. P. Pakhnenko
{"title":"On the Radial Spread of Petroleum Products on the Surface of Water","authors":"A. V. Kistovich,&nbsp;T. O. Chaplina,&nbsp;V. P. Pakhnenko","doi":"10.1134/S0015462822080043","DOIUrl":"10.1134/S0015462822080043","url":null,"abstract":"<p>A theoretical model of the spreading of an oleine slick based on the laws of conservation of mass and total energy of the system is presented. Based on this model, an approximate equation describing the spreading process at each time point is derived. Compact solutions of this equation are presented both for engine-oil slicks of limited area and for unlimited spills of crude oil. Experiments are conducted to study the dynamics of the spreading of a compact slick of reference engine oil and crude oil under various physical conditions. Comparison of the experimental and theoretical results show their good agreement for all dynamic modes of the process under study.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 8","pages":"1008 - 1022"},"PeriodicalIF":0.9,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4095474","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
Stability of an Advective Flow in a Horizontal Fluid Layer Heat-Insulated from Below with Rigid Boundaries 具有刚性边界的水平隔热流体层内平流的稳定性
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-02 DOI: 10.1134/S0015462822080055
K. G. Shvarts, Yu. A. Shvarts
{"title":"Stability of an Advective Flow in a Horizontal Fluid Layer Heat-Insulated from Below with Rigid Boundaries","authors":"K. G. Shvarts,&nbsp;Yu. A. Shvarts","doi":"10.1134/S0015462822080055","DOIUrl":"10.1134/S0015462822080055","url":null,"abstract":"<div><div><h3>\u0000 <b>Abstract</b>—</h3><p>In this paper, we study the stability of an advective flow in a flat horizontal layer of an incompressible fluid with rigid boundaries. A linear temperature distribution is set on the upper boundary of the layer while the lower boundary is thermally insulated. The plane-parallel flow due to the action of horizontal convection is described analytically as an exact solution of the Navier–Stokes equations in the Boussinesq approximation. In the linear theory, the stability of an advective flow to normal perturbations is studied at various values of the Prandtl number. The most dangerous modes are determined, and neutral curves are plotted. In the nonlinear formulation of the problem, the structure of finite-amplitude perturbations in the supercritical region near the minima of the neutral curves is studied.</p></div></div>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 8","pages":"973 - 981"},"PeriodicalIF":0.9,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4437773","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
On the Value of the Second Invariant of the Strain Rate Tensor at the Point of Minimum Pressure on the Plane of Symmetry of Non-Barotropic Flow 非正压流动对称面上最小压力点应变速率张量的第二不变量值
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-02 DOI: 10.1134/S0015462822080067
G. B. Sizykh
{"title":"On the Value of the Second Invariant of the Strain Rate Tensor at the Point of Minimum Pressure on the Plane of Symmetry of Non-Barotropic Flow","authors":"G. B. Sizykh","doi":"10.1134/S0015462822080067","DOIUrl":"10.1134/S0015462822080067","url":null,"abstract":"<p>In this paper, we consider a nonbarotropic vortex flow of an ideal gas symmetric with respect to some plane. Using the Euler equations for stationary flows, it is established that if the pressure reaches a strict or nonstrict local minimum at an internal point of the flow located on the plane of symmetry, the flow is subsonic at this point, and the velocity is nonzero, then the value of the <i>Q</i> parameter at this point must be equal to zero. It is also established that if at the considered point a local minimum or maximum of pressure is reached not in space, but only in the symmetry plane, then the value of the <i>Q</i> parameter must be nonpositive. The last statement turns out to be true both for subsonic and for sonic and supersonic points. The results can be used to verify numerical calculations of an ideal gas flow behind a detached shock wave in a supersonic flow around symmetric bodies, as well as numerical calculations of a viscous gas flow around symmetric bodies in regions remote from vorticity sources, where the effect of viscosity and thermal conductivity can be neglected.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 8","pages":"967 - 972"},"PeriodicalIF":0.9,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4095473","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
Nonlinear Monopole and Dipole Acoustic Radiation of a Weakly Charged Droplet Oscillating in a Uniform Electrostatic Field 在均匀静电场中振荡的弱电荷液滴的非线性单极子和偶极子声辐射
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-02 DOI: 10.1134/S0015462822080031
A. I. Grigor’ev, N. Yu. Kolbneva, S. O. Shiryaeva
{"title":"Nonlinear Monopole and Dipole Acoustic Radiation of a Weakly Charged Droplet Oscillating in a Uniform Electrostatic Field","authors":"A. I. Grigor’ev,&nbsp;N. Yu. Kolbneva,&nbsp;S. O. Shiryaeva","doi":"10.1134/S0015462822080031","DOIUrl":"10.1134/S0015462822080031","url":null,"abstract":"<p>Asymptotic calculations of the second order of smallness for a small dimensionless amplitude of the oscillation of droplets of natural origin in a material environment in an intracloud or ground-level electric field are used to show that, among other modes, the zero and the first mode of droplet oscillations are excited, which do not occur in calculations made in the first order of smallness. The intensity of acoustic radiation in such modes is calculated using the model of an ideal noncompressible electrically conductive fluid. The monopole acoustic radiation of a droplet is shown to be six orders of magnitude more intense than the dipole radiation. In an approximation quadratic in terms of the dimensionless oscillation amplitude, the monopole radiation intensity does not depend on the droplet radius and the strength of the external electric field, while the dipole-radiation intensity greatly depends on the droplet radius. The dependence of the strength of the electric field only appears in the third order of smallness. Oscillating rain droplets emit acoustic radiation in the audible frequency range, while cloud and fog droplets, in the ultrasonic range. The time dependence of acoustic radiation of a droplet of both monopole and dipole type under the initial excitation of a finite segment of the continuous spectrum of modes has the form of beats.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 8","pages":"982 - 997"},"PeriodicalIF":0.9,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4095707","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: 1
On Estimation of the Contribution of Secondary Vortex Structures to the Transport of Aerosols in the Atmospheric Boundary Layer 二次涡结构对大气边界层气溶胶输运贡献的估算
IF 0.9 4区 工程技术
Fluid Dynamics Pub Date : 2023-03-02 DOI: 10.1134/S001546282208002X
M. A. Davydova, O. G. Chkhetiani, N. T. Levashova, A. L. Nechaeva
{"title":"On Estimation of the Contribution of Secondary Vortex Structures to the Transport of Aerosols in the Atmospheric Boundary Layer","authors":"M. A. Davydova,&nbsp;O. G. Chkhetiani,&nbsp;N. T. Levashova,&nbsp;A. L. Nechaeva","doi":"10.1134/S001546282208002X","DOIUrl":"10.1134/S001546282208002X","url":null,"abstract":"<div><div><h3>\u0000 <b>Abstract</b>—</h3><p>In this paper, we consider two reasonable approaches to the problem of numerical simulation of the concentration distribution of a finely dispersed aerosol in spiral vortex structures (rolls) at the atmospheric boundary layer in order to estimate the contribution of vortex structures to the transport of aerosols through the boundary layer. Using the methods of perturbation theory, an approximate solution of a stationary spatially periodic singularly perturbed problem of the reaction–diffusion–advection type, which models the distribution of an aerosol in vortices, is obtained, the residual term is estimated, and a method for numerically solving the zero-approximation problem is proposed. As an alternative approach to the problem of numerical modeling of an aerosol-concentration field in rolls, implementation of the method of evolutionary factorization is considered. Using model data, an estimate of the amount of an aerosol carried by vortex structures is obtained.</p></div></div>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"57 8","pages":"998 - 1007"},"PeriodicalIF":0.9,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4094940","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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