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Journal articles on the topic 'Inhomogeneous flow'

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Author: Grafiati

Published: 14 March 2023

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1

Burmasheva, Natal’ya V., Anastasiya V. Dyachkova, and Evgeniy Yu Prosviryakov. "Inhomogeneous Poiseuille flow." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 77 (2022): 68–85. http://dx.doi.org/10.17223/19988621/77/6.

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The paper presents an investigation of the isothermal steady flow of a viscous incompressible fluid in an extended flat layer using hydrodynamic equations. The bottom of the layer under consideration is limited by a stationary solid hydrophilic surface. At the upper boundary of the layer, the pressure field, which is inhomogeneous in both horizontal coordinates, and the velocity field are specified. These boundary conditions allow one to generalize the classical Poiseuille flow. The exact solution, satisfying the set boundary value problem, is described by a series of polynomials of different orders. The highest (fifth) degree of the polynomials corresponds to a homogeneous component of the horizontal velocity. Here, the pressure field depends only on the horizontal coordinates; the dependence is linear. The detailed analysis of the velocity field is carried out. The obtained results confirm that the determined exact solution can describe multiple stratification of the velocity field and the corresponding field of tangent stresses. The analysis of spectral properties of the velocity field is performed for a general case without specifying the values of physical constants that unambiguously identify the studied fluid. Therefore, the presented results are applicable to viscous fluids of various nature.

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2

WANG, HONG-YU, and YOU-DE WANG. "GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW." International Journal of Mathematics 11, no. 08 (November 2000): 1079–114. http://dx.doi.org/10.1142/s0129167x00000568.

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In this paper, we consider the global existence of one-dimensional nonautonomous inhomogeneous Schrödinger flow. By exploiting geometric symmetries, we prove that, given a smooth initial map, the Cauchy problem of the one-dimensional nonautonomous inhomogeneous Schrödinger flow from S1 into a complete Kähler manifold with constant holomorphic sectional curvature admits a unique global smooth solution. As a corollary, we establish the global existence for the Cauchy problem of the inhomogeneous Heisenberg spin system.

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3

Brevdo, Leonid. "Convectively unstable wave packets in spatially developing open flows and media with algebraically decaying tails." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2053 (January 8, 2005): 1–20. http://dx.doi.org/10.1098/rspa.2004.1338.

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In this paper we extend our recently developed theory of global and absolute instabilities of spatially developing open flows and media with algebraically decaying tails to treating propagating unstable wave packets in such flows. No restriction is imposed on the rate of variability of the spatially developing state in the finite domain. In the case when the limit state in infinity, i.e. the associated uniform state, is stable, but the inhomogeneous flow is absolutely unstable, a relatively simple complete description of the characteristics of the instability in a moving frame of reference is obtained in terms of the characteristics of the absolute instability and of the dispersion–relation function of the associated uniform state. When the associated uniform state is stable and the inhomogeneous flow is absolutely stable the inhomogeneous flow is convectively stable. Hence, any unstable inhomogeneous flow having a stable associated uniform state is absolutely unstable.

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4

Goruleva, Larisa S., and Evgeniy Yu Prosviryakov. "Inhomogeneous Couette–Poiseuille shear flow." Procedia Structural Integrity 40 (2022): 171–79. http://dx.doi.org/10.1016/j.prostr.2022.04.023.

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5

HONJO, Tsuyoshi, and Tadashi TAKAKURA. "The Flow over Inhomogeneous Surfaces." Journal of Agricultural Meteorology 42, no. 2 (1986): 137–43. http://dx.doi.org/10.2480/agrmet.42.137.

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6

Burmasheva, N. V., and E. Yu Prosviryakov. "Inhomogeneous Nusselt–Couette–Poiseuille Flow." Theoretical Foundations of Chemical Engineering 56, no. 5 (October 2022): 662–68. http://dx.doi.org/10.1134/s0040579522050207.

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7

Berestova, S. A., and E. Yu Prosviryakov. "An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid." Nelineinaya Dinamika 19, no. 1 (2023): 0. http://dx.doi.org/10.20537/nd230201.

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An exact solution of the Oberbeck – Boussinesq equations for the description of the steady-state Bénard – Rayleigh convection in an infinitely extensive horizontal layer is presented. This exact solution describes the large-scale motion of a vertical vortex flow outside the field of the Coriolis force. The large-scale fluid flow is considered in the approximation of a thin layer with nondeformable (flat) boundaries. This assumption allows us to describe the large-scale fluid motion as shear motion. Two velocity vector components, called horizontal components, are taken into account. Consequently, the third component of the velocity vector (the vertical velocity) is zero. The shear flow of the vertical vortex flow is described by linear forms from the horizontal coordinates for velocity, temperature and pressure fields. The topology of the steady flow of a viscous incompressible fluid is defined by coefficients of linear forms which have a dependence on the vertical (transverse) coordinate. The functions unknown in advance are exactly defined from the system of ordinary differential equations of order fifteen. The coefficients of the forms are polynomials. The spectral properties of the polynomials in the domain of definition of the solution are investigated. The analysis of distribution of the zeroes of hydrodynamical fields has allowed a definition of the stratification of the physical fields. The paper presents a detailed study of the existence of steady reverse flows in the convective fluid flow of Bénard – Rayleigh – Couette type.

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8

Markkanen, Tiina, Gerald Steinfeld, Natascha Kljun, Siegfried Raasch, and Thomas Foken. "A numerical case study on footprint model performance under inhomogeneous flow conditions." Meteorologische Zeitschrift 19, no. 6 (December 1, 2010): 539–47. http://dx.doi.org/10.1127/0941-2948/2010/0488.

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9

Taffetani, Matteo, Ricardo Ruiz-Baier, and Sarah Waters. "Coupling Stokes Flow with Inhomogeneous Poroelasticity." Quarterly Journal of Mechanics and Applied Mathematics 74, no. 4 (November 1, 2021): 411–39. http://dx.doi.org/10.1093/qjmam/hbab014.

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Summary We investigate the behaviour of flux-driven flow through a single-phase fluid domain coupled to a biphasic poroelastic domain. The fluid domain consists of an incompressible Newtonian viscous fluid while the poroelastic domain consists of a linearly elastic solid filled with the same viscous fluid. The material properties of the poroelastic domain, that is permeability and elastic parameters, depend on the inhomogeneous initial porosity field. We identify the dimensionless parameters governing the behaviour of the coupled problem: the ratio between the magnitudes of the driving velocity and the Darcy flows in the poroelastic domain, and the ratio between the viscous pressure scale and the size of the elastic stresses in the poroelastic domain. We consider a perfusion system, where flow is forced to pass from the single-phase fluid to the biphasic poroelastic domain. We focus on a simplified two-dimensional geometry with small aspect ratio and perform an asymptotic analysis to derive analytical solutions. The slender geometry is divided in four regions, two outer domains that describe the regions away from the interface and two inner domains that are the regions across the interface. Our analysis advances the quantitative understanding of the role of heterogeneous material properties of a poroelastic domain on its mechanical response when coupled with a fluid domain. The analysis reveals that, in the interfacial zone, the fluid and the elastic behaviours of this coupled Stokes—poroelastic problem can be treated separately via (i) a Stokes–Darcy coupling and (ii) the solid skeleton being stress free. This latter finding is crucial to derive the coupling condition across the outer domains for both the elastic part of the poroelastic domain and the fluid flow. Via specification of heterogeneous material properties distribution, we reveal the effects of heterogeneity and deformability on the mechanics of the poroelastic domain.

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10

Goode, S. W. "Spatially inhomogeneous cosmologies with heat flow." Classical and Quantum Gravity 3, no. 6 (November 1, 1986): 1247–63. http://dx.doi.org/10.1088/0264-9381/3/6/022.

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11

Baysal, H. "Inhomogeneous cosmologic models with heat flow." Astrophysics and Space Science 196, no. 2 (1992): 345–49. http://dx.doi.org/10.1007/bf00692898.

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12

Artaki, Michael. "Hot‐electron flow in an inhomogeneous field." Applied Physics Letters 52, no. 2 (January 11, 1988): 141–43. http://dx.doi.org/10.1063/1.99031.

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13

Doig, Jean C., Vikash V. Gayah, and Michael J. Cassidy. "Inhomogeneous Flow Patterns in Undersaturated Road Networks." Transportation Research Record: Journal of the Transportation Research Board 2390, no. 1 (January 2013): 68–75. http://dx.doi.org/10.3141/2390-08.

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14

Ganguli, G. "Stability of an inhomogeneous transverse plasma flow." Physics of Plasmas 4, no. 5 (May 1997): 1544–51. http://dx.doi.org/10.1063/1.872285.

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15

Iida, Oaki. "Turbulent structure of stably stratified inhomogeneous flow." Physics of Fluids 30, no. 4 (April 2018): 045101. http://dx.doi.org/10.1063/1.5020848.

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16

IIDA, Oaki. "Turbulent structure of inhomogeneous stably stratified flow." Proceedings of Conference of Tokai Branch 2017.66 (2017): 433. http://dx.doi.org/10.1299/jsmetokai.2017.66.433.

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17

Furukawa, Akira, and Hajime Tanaka. "Inhomogeneous flow and fracture of glassy materials." Nature Materials 8, no. 7 (June 14, 2009): 601–9. http://dx.doi.org/10.1038/nmat2468.

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18

Brown, L. M. "Slip Circle Constructions for Inhomogeneous Rotational Flow." Materials Science Forum 550 (July 2007): 105–17. http://dx.doi.org/10.4028/www.scientific.net/msf.550.105.

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Humphreys’ simple construction to aid understanding of the patterns of rotational plastic flow observed near undeformable particles in a ductile plastically sheared matrix can be generalised to predict flow under hardness indenters in crystalline metals. The consequences for internal stress distributions and polycrystalline plasticity are briefly indicated.

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19

Patel, L. K., and N. Dadhich. "Singularity-free inhomogeneous models with heat flow." Classical and Quantum Gravity 10, no. 7 (July 1, 1993): L85—L88. http://dx.doi.org/10.1088/0264-9381/10/7/002.

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20

Dhont, Jan K. G., and W. J. Briels. "Inhomogeneous suspensions of rigid rods in flow." Journal of Chemical Physics 118, no. 3 (January 15, 2003): 1466–78. http://dx.doi.org/10.1063/1.1528912.

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21

Bhui, B., A. Banerjee, and S. Chatterjee. "Inhomogeneous Kaluza-Klein model with heat flow." General Relativity and Gravitation 28, no. 5 (May 1996): 633–39. http://dx.doi.org/10.1007/bf02105071.

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22

Sales de Lima, J. Ademir, and Márcio Roberto de Garcia Maia. "Chaotic cosmology: Inhomogeneous models with heat flow." Physics Letters A 110, no. 7-8 (August 1985): 366–67. http://dx.doi.org/10.1016/0375-9601(85)90056-8.

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23

Donnadieu, Patricia. "On inhomogeneous plastic flow in silica glass." Journal of Non-Crystalline Solids 105, no. 3 (November 1988): 280–86. http://dx.doi.org/10.1016/0022-3093(88)90319-5.

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24

Gavrilov, A. V., and I. V. Shirko. "Fluid flow in an inhomogeneous granular medium." Journal of Applied Mathematics and Mechanics 74, no. 3 (January 2010): 267–77. http://dx.doi.org/10.1016/j.jappmathmech.2010.07.002.

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25

Melville, W. K., and Karl R. Helfrich. "Transcritical two-layer flow over topography." Journal of Fluid Mechanics 178 (May 1987): 31–52. http://dx.doi.org/10.1017/s0022112087001101.

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The evolution of weakly-nonlinear two-layer flow over topography is considered. The governing equations are formulated to consider the effects of quadratic and cubic nonlinearity in the transcritical regime of the internal mode. In the absence of cubic nonlinearity an inhomogeneous Korteweg-de Vries equation describes the interfacial displacement. Numerical solutions of this equation exhibit undular bores or sequences of Boussinesq solitary waves upstream in a transcritical regime. For sufficiently large supercritical Froude numbers, a locally steady flow is attained over the topography. In that regime in which both quadratic and cubic nonlinearity are comparable, the evolution of the interface is described by an inhomogeneous extended Kortewegde Vries (EKdV) equation. This equation displays undular bores upstream in a subcritical regime, but monotonic bores in a transcritical regime. The monotonic bores are solitary wave solutions of the corresponding homogeneous EKdV equation. Again, locally steady flow is attained for sufficiently large supercritical Froude numbers. The predictions of the numerical solutions are compared with laboratory experiments which show good agreement with the solutions of the forced EKdV equation for some range of parameters. It is shown that a recent result of Miles (1986), which predicts an unsteady transcritical regime for single-layer flows, may readily be extended to two-layer flows (described by the forced KdV equation) and is in agreement with the results presented here.Numerical experiments exploiting the symmetry of the homogeneous EKdV equation show that solitary waves of fixed amplitude but arbitrary length may be generated in systems described by the inhomogeneous EKdV equation.

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26

Kamau, Kiruma Melchizedecs, Prof Johana K. Sigey, Dr Jeconia A. Okelo, and Dr James Okwoyo. "Inhomogeneous LWR Traffic Flow Model and its Application to Kisii – Kisumu Highway in Kenya." SIJ Transactions on Computer Science Engineering & its Applications (CSEA) 02, no. 06 (December 11, 2014): 12–17. http://dx.doi.org/10.9756/sijcsea/v2i6/0207720102.

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27

Moiseev, K. V. "Stratified flow with natural convection weakly stratified fluid." Proceedings of the Mavlyutov Institute of Mechanics 11, no. 1 (2016): 88–93. http://dx.doi.org/10.21662/uim2016.1.013.

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In work on the basis of a mathematical model based on a linear approximation, we study the formation of the layered flows with natural convection, poorly stratified inhomogeneous liquid. The regions of the parameters under which a layered structure of the flow-cell in a side heating.

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28

Kuznetsov, V. V., and S. A. Safonov. "Multi-scale flow patterns during immiscible displacement of oil by water in a layer-inhomogeneous porous media." Journal of Physics: Conference Series 2119, no. 1 (December 1, 2021): 012048. http://dx.doi.org/10.1088/1742-6596/2119/1/012048.

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Abstract This paper presents the results of numerical study of the relationship between micro-and macroscale flows during immiscible displacement in a two-layer porous medium. A feature of the proposed approach is the allowance for large-scale capillarity induced flow due to curvature of the displacement front in macro-inhomogeneous porous medium. The physical mechanisms determining the development of viscous instability in a layer-inhomogeneous porous medium are considered, the methods for suppressing viscous fingers formation based on the stabilization of the displacement front due the action of capillary forces are proposed.

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29

Brouwers, J. J. H. "Statistical Descriptions of Inhomogeneous Anisotropic Turbulence." Mathematics 10, no. 23 (December 6, 2022): 4619. http://dx.doi.org/10.3390/math10234619.

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Descriptions are given of the Langevin and diffusion equation of passively marked fluid particles in turbulent flow with spatially varying and anisotropic statistical properties. The descriptions consist of the first two terms of an expansion in powers of C0−1, where C0 is an autonomous Lagrangian-based Kolmogorov constant: C0≈7. Solutions involve the application of methods of stochastic analysis while complying with the basic laws of physics. The Lagrangian-based descriptions are converted into Eulerian-based fixed-point expressions through asymptotic matching. This leads to novel descriptions for the mean values of the fluctuating convective terms of the conservation laws of continua. They can be directly implemented in CFD codes for calculating fluid flows in engineering and environmental analysis. The solutions are verified in detail through comparison with direct numerical simulations of turbulent channel flows at large Reynolds numbers.

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30

M. M. Abenov, M. B. Gabbassov, and A. A. Ahmedov. "The Flow of An Inhomogeneous Fluid Inside a Sphere." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 90, no. 2 (January 18, 2022): 55–63. http://dx.doi.org/10.37934/arfmts.90.2.5563.

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The research deals with the stationary flow of an inhomogeneous incompressible fluid inside a spherical vessel under the influence of a potential mass force. Using the methods of four-dimensional analysis, the solution to the problem is constructed in an explicit analytical form. Exact solutions of the Euler equations for a homogeneous fluid are obtained only for some of the simplest problems. Researchers usually prove the existence and uniqueness of solutions to various initial - boundary value problems for Euler equations using the methods of a priori estimation. After that, the problem is usually solved by numerical methods. For an inhomogeneous fluid, when the unknown density is a variable, even obtaining a priori estimates becomes much more complicated, not to mention finding exact solutions. Nevertheless, in recent years, new methods of four-dimensional mathematics have been developed, giving previously unknown approaches to the study of nonlinear problems. In this paper, an exact analytical solution of the Euler equations describing the flow of an ideal inhomogeneous fluid inside a sphere is obtained. At the same time, the authors demonstrate new methods of four-dimensional analysis.

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31

Sugioka, Hideyuki. "Edge Vortex Flow Due to Inhomogeneous Ion Concentration." Journal of the Physical Society of Japan 86, no. 4 (April 15, 2017): 043401. http://dx.doi.org/10.7566/jpsj.86.043401.

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32

TED DAVIS, H. "KINETIC THEORY OF FLOW IN STRONGLY INHOMOGENEOUS FLUIDS." Chemical Engineering Communications 58, no. 1-6 (August 1987): 413–30. http://dx.doi.org/10.1080/00986448708911979.

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33

Krutitskii, P. A. "The flow of an inhomogeneous fluid over wings." Nonlinear Analysis: Theory, Methods & Applications 32, no. 6 (June 1998): 807–17. http://dx.doi.org/10.1016/s0362-546x(97)00500-2.

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34

Chung, K. H., and P. M. Hui. "Traffic Flow Problems in One-Dimensional Inhomogeneous Media." Journal of the Physical Society of Japan 63, no. 12 (December 15, 1994): 4338–41. http://dx.doi.org/10.1143/jpsj.63.4338.

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35

Lee, T. H. "Performance of banyan networks with inhomogeneous traffic flow." IEE Proceedings E Computers and Digital Techniques 137, no. 4 (1990): 245. http://dx.doi.org/10.1049/ip-e.1990.0030.

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36

Gu, G. Q., K. H. Chung, and P. M. Hui. "Two-dimensional traffic flow problems in inhomogeneous lattices." Physica A: Statistical Mechanics and its Applications 217, no. 3-4 (August 1995): 339–47. http://dx.doi.org/10.1016/0378-4371(95)00080-q.

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37

Kolev, N. I. "Transient three phase, three component, nonequilibrium inhomogeneous flow." Nuclear Engineering and Design 91, no. 3 (February 1986): 373–90. http://dx.doi.org/10.1016/0029-5493(86)90088-9.

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38

Lucas, R. J. "On the stability of hydromagnetic flow." Journal of Plasma Physics 35, no. 1 (February 1986): 145–50. http://dx.doi.org/10.1017/s002237780001120x.

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The linear stability of steady flow of an inhomogeneous, incompressible hydromagnetic fluid is considered. Circle theorems which provide bounds on the complex eigenfrequencies of the unstable normal modes are obtained. Sufficient conditions for stability follow in a number of special cases.

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39

Galimov, R. N., N. E. Molevich, and N. V. Troshkin. "Acoustical Instability of Inhomogeneous Gas Flows With Distributed Heat Release." Acta Acustica united with Acustica 98, no. 3 (May 1, 2012): 372–77. http://dx.doi.org/10.3813/aaa.918521.

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Acoustical instability of the inhomogeneous heat-emitted gas flow in dependence on the Mach number is investigated. Obtained acoustical equations for perturbations of velocity, density, pressure, and temperature have diff erent forms in inhomogeneous media. Growth increments for these perturbations diff er from each other as well. They are significantly dependent on the Mach number and the flow direction. The features of sub- and supersonic acoustics are considered.

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40

Jovanović, J., Q. Y. Ye, and F. Durst. "Statistical interpretation of the turbulent dissipation rate in wall-bounded flows." Journal of Fluid Mechanics 293 (June 25, 1995): 321–47. http://dx.doi.org/10.1017/s002211209500173x.

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Statistical analysis was performed for interpreting the dissipation correlations in turbulent wall-bounded flows. The fundamental issues related to the formulation of the closure assumptions are discussed. Using the two-point correlation technique, a distinction is made between the homogeneous and inhomogeneous parts of the dissipation tensor. It is shown that the inhomogeneous part contributes half of the dissipation rate at the wall and vanishes remote from the wall region. The structure of an analytically derived equation was analysed utilizing the results of direct numerical simulations of turbulent channel flow at low Reynolds number.

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41

Wattananusorn, S. "New space-averaging procedure for inhomogeneous flow fields using balance equation formulations." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 9 (September 1, 2006): 1363–74. http://dx.doi.org/10.1243/09544062c06605.

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This paper features the possibility of averaging space-dependent flow fields using a coupling factor that links the equations of momentum and energy. The scheme is applied to the mean velocity, which is derived straightforwardly through the continuity equation. It creates a small imbalance, which can be eliminated later completely. Smaller discrepancies in the integration of systems of balance equations for inhomogeneous flow are the consequence. The procedure is verified on various flow patterns, and comparisons are made with other conventional methods and with some available experimental data. Despite investigating only numerical examples of incompressible flows here, the technique, in principle, is capable of dealing with compressible flows as well. Furthermore, the proposed method discards some variables required in other techniques while still providing useful and acceptable results for practical problems.

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42

Gorman, Arthur D. "On wave propagation in an inhomogeneous non–stationary medium with an inhomogeneous non-stationary flow." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2055 (March 8, 2005): 701–10. http://dx.doi.org/10.1098/rspa.2004.1415.

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An approximate wave equation that models scalar wave propagation in a moving fluid whose ambient properties and flow are inhomogeneous both in space and time is considered. Asymptotic solutions for both non–caustic and caustic regions and some Hamiltonian properties of the equation in both non–caustic and caustic regions are developed.

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43

Jännsch, Yannick, Martin Hämmerle, Jane J. Leung, Elfriede Simon, Maximilian Fleischer, and Ralf Moos. "Gas evolution in electrochemical flow cell reactors induces resistance gradients with consequences for the positioning of the reference electrode." RSC Advances 11, no. 45 (2021): 28189–97. http://dx.doi.org/10.1039/d1ra05345k.

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44

Zhao, Junnan, Xinyao Guo, Guodong Liu, Rui Wang, and Huilin Lu. "A Review of the Continuum Theory-Based Stress and Drag Models in Gas-Solid Flows." Energies 16, no. 1 (December 21, 2022): 65. http://dx.doi.org/10.3390/en16010065.

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The continuum theory-based models, which include solid stress models and gas-solid drag models, are required for the modeling of gas-solid flows in the framework of the Eulerian–Eulerian method. The interactions among particles are characterized by their diverse behaviors at different flow regimes, including kinetic motion, particle–particle collision and enduring friction. It is difficult to describe the particle behaviors at various regimes by mathematical methods accurately. Therefore, it is very important to develop proper solid stress models that can capture the inherent characteristics of the flow behaviors. In addition, the gas-solid fluidization system is a typical heterogeneous system, which exhibits locally inhomogeneous structures such as bubbles or particle clusters with different shapes and sizes. Due to these inhomogeneous characteristics, the gas-solid drag model has become one of the key challenges in the simulation of gas-solid flows. Various forms of constitutive relations for solid stress models and gas-solid drag models have been reported in the literature. In this paper, we reviewed the solid stress models crossing various flow regimes and drag models in both micro- and mesoscales, which provide a useful reference for model selection in simulating gas-solid flows.

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45

NAZARENKO, S., N. K. R. KEVLAHAN, and B. DUBRULLE. "WKB theory for rapid distortion of inhomogeneous turbulence." Journal of Fluid Mechanics 390 (July 10, 1999): 325–48. http://dx.doi.org/10.1017/s0022112099005340.

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A WKB method is used to extend RDT (rapid distortion theory) to initially inhomogeneous turbulence and unsteady mean flows. The WKB equations describe turbulence wavepackets which are transported by the mean velocity and have wavenumbers which evolve due to the mean strain. The turbulence also modifies the mean flow and generates large-scale vorticity via the averaged Reynolds stress tensor. The theory is applied to Taylor's four-roller flow in order to explain the experimentally observed reduction in the mean strain. The strain reduction occurs due to the formation of a large-scale vortex quadrupole structure from the turbulent spot confined by the four rollers. Both turbulence inhomogeneity and three-dimensionality are shown to be important for this effect. If the initially isotropic turbulence is either homogeneous in space or two-dimensional, it has no effect on the large-scale strain. Furthermore, the turbulent kinetic energy is conserved in the two-dimensional case, which has important consequences for the theory of two-dimensional turbulence. The analytical and numerical results presented here are in good qualitative agreement with experiment.

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46

Smet, Robert P., and Robert E. Johnson. "An Asymptotic Analysis of Cold Sheet Rolling." Journal of Applied Mechanics 56, no. 1 (March 1, 1989): 33–39. http://dx.doi.org/10.1115/1.3176062.

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We examine the plane strain cold rolling problem of thin strip implementing a perturbation scheme upon the governing equations. The analysis accounts for transverse variations in the flow and inhomogeneous work hardening. We establish deformation regimes based upon the parameters μ, the friction coefficient, τ, the ratio of the initial yield stress and the maximum roll pressure, and δ, a measure of the small gap reduction. We see that the inclusion of these inhomogeneous effects gives mildly different results for values of μ/τ > 0(1) or τ δ/μ = 0(1). We gauge these effects by examining the roll pressure, shear stress, longitudinal stress, yield stress, front and back tensions and torque to see how they are affected by the inclusion of inhomogeneous flow effects.

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47

Deng, Xiao Gang, and Xiong Zhou. "The Simulation of the Circumfluence and Inhomogeneous Flow Field in Pulsing Electro-Floatation." Applied Mechanics and Materials 233 (November 2012): 43–46. http://dx.doi.org/10.4028/www.scientific.net/amm.233.43.

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Due to the large-scale violent circumfluence occurred in the traditional electro-floatation (TEF), the interference to the mixture of micro-bubbles and floccules should not be neglected in the floatation. In this paper, the Pulsing Electro-Floatation (PEF) using square wave impulse direct current has been presented. The circumfluence in the inhomogeneous field of the PEF would be gentler than TEF, and the energy utilization rate would be improved. Based the theory of multiphase flow continuous medium, the conservation of momentum equation in the inhomogeneous flow field of PEF has been obtained, and liquid-bubble flow field of the PEF has been simulated using the Fluent module of the ANSYS 13.0. The research result shows that the inhomogeneous flow field in PEF has more reasonable energy distribution, less extent of circumfluence in the process of the micro-bubbles floating, and more benefit for the development and floatation of the bubbles-floccules mixture compared with the TEF. With the same current density, the energy consumption of PEF is 1/4-1/3 that of TEF, but has the similar floatation effect with TEF.

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48

Wang, Hao, Neng-Zhi Yao, Bin Wang, and Xuesheng Wang. "Homogenization design and drag reduction characteristics of hydrodynamic cloaks." Acta Physica Sinica 71, no. 13 (2022): 1. http://dx.doi.org/10.7498/aps.70.20220346.

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Hydrodynamic cloaks have attracted extensive attention because of their ability to significantly reduce the surface resistance of designated target. However, most of parameters of traditional hydrodynamic cloaks present inhomogeneous and anisotropy, which increases the challenge of manufacturing hydrodynamic cloaks for us. To overcome this limitation, equivalent medium theory and integral median theorem are used to homogenize the parameters of hydrodynamic cloaks. Numerical simulations verify that the simplified homogeneous hydrodynamic cloaks exhibit the equivalent cloaking effect as inhomogeneous hydrodynamic cloaks, which can be applied to different flow fields as well. This simplified method not only can simplify inhomogeneous hydrodynamic cloaks to homogeneous hydrodynamic cloaks, but also can be applied to other physical fields, such as optics, acoustics, electromagnetics, and thermodynamics among other areas for the homogenization of metamaterial design, providing a new method to relax the difficulty of metamaterial design. In addition, based on the applicability of homogeneous hydrodynamic cloaks to different flow fields, hydrodynamic camouflage devices are designed that can camouflage the flow fields generated by the original objects into fields caused by arbitrary objects, offering a scheme for achieving hydrodynamic camouflage. Finally, as Reynolds numbers increase, the cloaking and drag reduction performance of hydrodynamic cloaks are quantitatively compared and analyzed. The results show that hydrodynamic cloaks still exhibit high performance in cloaking and drag reduction in non-creeping flows.

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Jiang, Peng, Xue Kui Wang, Bao Liang Fang, and Zuo Liang Sha. "Distribution Features of Multi-Phase Flow in DTB Crystallizer." Applied Mechanics and Materials 295-298 (February 2013): 3055–61. http://dx.doi.org/10.4028/www.scientific.net/amm.295-298.3055.

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The multi-scale features are the foundation of the inner laws existing in the multi-phase flow process. Computational fluid dynamics (CFD) method was used to study the inhomogeneous distribution and multi-scale features of the solid particles in DTB crystallizer. Suspension and flow field distributions of the particles under different stirring speed and different particle diameter were observed. The result showed: the higher the stirring speed, the smaller the particle diameter and the more homogeneous the suspension distribution. The inhomogeneous distribution of the particles in the crystallizer was mainly caused by vortex. The particle concentration was much lowers in the vortex center, meanwhile, the higher the stirring speed, the more the particles and vortex number, the vortex strength getting greater as well.

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Sadeghi, Mohammad, Karam Bahari, and Kayoomars Karami. "The Effect of Flow and Magnetic Twist on Resonant Absorption of Slow MHD Waves in Magnetic Flux Tubes." Astrophysical Journal 944, no. 2 (February 1, 2023): 194. http://dx.doi.org/10.3847/1538-4357/acb536.

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Abstract Observations show that there are twisted magnetic flux tubes and plasma flow throughout the solar atmosphere. The main purpose of this work is to obtain the damping rate of sausage modes in the presence of magnetic twist and plasma flow. We obtain the dispersion relation for sausage modes in slow continuity in an inhomogeneous layer under the conditions of magnetic pores, then we solve it numerically. For the selected density profile, the magnetic field, and the plasma flow as a function of radius across the inhomogeneous layer, we show that the effect of the twisted magnetic field on the resonance absorption at low speed of the plasma flow is greater than one at high speed.

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