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The goal of this paper is to propose a theoretical framework to study homogeneous and isotropic turbulence in a viscoelastic fluid, regarded as a perturbation of a Newtonian incompressible fluid, where the fluid relaxation time, or else the…

流体动力学 · 物理学 2025-04-30 Esteban Calzetta

Gaseous flows show a diverse set of behaviors on different characteristic scales. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between the flow-field solutions and the real physics. To study…

计算物理 · 物理学 2021-05-05 Tianbai Xiao , Martin Frank

Nonlinear dynamics of fluid conveying pipe, rotating with constant velocity about its longitudinal axis is analyzed. Considering boundary conditions and internal damping, the nonlinear equation of motion is derived, and it is discretized…

混沌动力学 · 物理学 2024-10-31 Ali Fasihi , Grzegorz Kudra , Maryam Ghandchi Tehrani , Jan Awrejcewicz

We study the flow of a thixotropic fluid around a cylinder. The rheology of the fluid is described by means of a structural viscoplastic model based on the Bingham constitutive equation, regularised using the Papanastasiou regularisation.…

流体动力学 · 物理学 2017-10-24 Alexandros Syrakos , Georgios C. Georgiou , Andreas N. Alexandrou

The dynamic resistance of a sphere with a general inhomogeneous slip boundary condition is analysed in Newtonian unbounded uniform flow at low Reynolds number. The boundary condition is treated as a perturbation to a homogeneous sphere,…

流体动力学 · 物理学 2009-11-13 Geoff Willmott

We confirm numerically that the Johnson-Segalman model is able to reproduce the continual oscillations of the falling sphere observed in some viscoelastic models. The empirical choice of parameters used in the Johnson-Segalman model is from…

数学物理 · 物理学 2012-09-11 Young-Ju Lee , Chen-Song Zhang

We study the general properties of fluid spheres satisfying the heuristic assumption that their areas and proper radius are equal (the Euclidean condition). Dissipative and non-dissipative models are considered. In the latter case, all…

广义相对论与量子宇宙学 · 物理学 2014-11-20 L. Herrera , N. O. Santos

In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between flow-field…

计算物理 · 物理学 2020-08-07 Tianbai Xiao

The motion of compressible, inviscid fluid under the constant pressure on a rotating sphere is studied. The hodograph equations for the corresponding Euler equation are presented. They provide us with the class of solutions of the Euler…

数学物理 · 物理学 2026-03-09 B. G. Konopelchenko , G. Ortenzi

Two-dimensional free-surface flow over localised topography is examined with the emphasis on the stability of hydraulic-fall solutions. A Gaussian topography profile is assumed with a positive or negative amplitude modelling a bump or a…

流体动力学 · 物理学 2024-03-12 Jack S. Keeler , Mark G. Blyth

We study the flow of a shear-thinning, chemically-reacting fluid that could be used to model the flow of the synovial fluid. The actual geometry where the flow of the synovial fluid takes place is very complicated, and therefore the…

数值分析 · 计算机科学 2014-09-01 Craig Bridges , Satish Karra , K. R. Rajagopal

A non-autonomous flow system is introduced with an attractor of Plykin type that may serve as a base for elaboration of real systems and devices demonstrating the structurally stable chaotic dynamics. The starting point is a map on a…

混沌动力学 · 物理学 2009-11-13 Sergey P. Kuznetsov

In the present work, we study the flow of thixotropic yield stress fluids between two concentric cylinders. In order to take into account the thixotropy, the constitutive relation uses a structural parameter which is driven by a kinetic…

Detailed data describing the motion of a rigid sphere settling in unperturbed fluid is generated by means of highly-accurate spectral/spectral-element simulations with the purpose of serving as a future benchmark case. A single…

流体动力学 · 物理学 2013-11-26 Markus Uhlmann , Jan Dusek

The steady streaming flow pattern caused by a no-slip sphere oscillating in an unbounded viscous incompressible fluid is calculated exactly to second order in the amplitude. The pattern depends on a dimensionless scale number, determined by…

流体动力学 · 物理学 2023-07-19 B. U. Felderhof

Statistical mechanics provides an elegant explanation to the appearance of coherent structures in two-dimensional inviscid turbulence: while the fine-grained vorticity field, described by the Euler equation, becomes more and more filamented…

统计力学 · 物理学 2012-06-01 Corentin Herbert , Bérengère Dubrulle , Pierre-Henri Chavanis , Didier Paillard

Owing to the Chapman-Kolmogorov equation for Markovian dynamics,any equilibrium trajectory of a Brownian particle in a solvent fluid can be viewed as the superposition of an uncountable number of non-equilibrium states. This property…

统计力学 · 物理学 2026-05-18 Jason Boynewicz , Michael C. Thumann , Giuseppe Procopio , Massimiliano Giona

A mixed continuous / discontinuous Galerkin scheme is introduced for the simulation of fluid-structure interaction problems in an isogeometric analysis framework. The properties of Non-Uniform Rational B-Spline basis functions are leveraged…

偏微分方程分析 · 数学 2026-02-17 Régis Duvigneau

A recent paper [CGT] studies the evolution of star-shaped mean convex hypersurfaces of the Euclidean space by a class of nonhomogeneous expanding curvature flows. In the present paper we consider the same problem in the real, complex and…

微分几何 · 数学 2020-10-08 Giuseppe Pipoli

The impact of turbulent fluctuations on the forces exerted by a fluid on a towed spherical particle is investigated by means of high-resolution direct numerical simulations. The measurements are carried out using a novel scheme to integrate…

流体动力学 · 物理学 2016-11-21 Holger Homann , Jérémie Bec , Rainer Grauer
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