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In this thesis we study field theoretic viewpoints on certain fluid mechanical phenomena. In the Higgs mechanism, the weak gauge bosons acquire masses by interacting with a scalar field, leading to a vector boson mass matrix. On the other…

流体动力学 · 物理学 2020-10-13 Sachin Shyam Phatak

This paper starts from the far-field behaviours of velocity field in externally-unbounded flow. We find that the well-known algebraic decay of disturbance velocity as derived kinematically is too conservative. Once the kinetics is taken…

流体动力学 · 物理学 2021-03-11 Luoqin Liu , Linlin Kang , Jiezhi Wu

In this paper, we study a system of PDEs describing the motion of two compressible viscous fluids occupying the whole space $\mathbb R^d\;(d\in \{2,3\}$). The two phases of the mixture are separated by a $\mathscr{C}^{1+\alpha}$-regular…

偏微分方程分析 · 数学 2025-05-20 Sagbo Marcel Zodji

In this paper, we propose and analyze a mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations for unsteady viscoelastic flows in porous media. Besides the velocity and pressure, our approach introduces the vorticity as a…

数值分析 · 数学 2024-06-25 Sergio Caucao , Ivan Yotov

We develop a mean-field model to examine the stability of a `quasi-2D suspension' of elongated particles embedded within a viscous membrane. This geometry represents several biological and synthetic settings, and we reveal mechanisms by…

流体动力学 · 物理学 2024-05-22 Harishankar Manikantan

We study different dimensional fluids inspired by noncommutative geometry which admit conformal Killing vectors. The solutions of the Einstein field equations examined specifically for five different set of spacetime. We calculate the…

广义相对论与量子宇宙学 · 物理学 2015-04-15 Farook Rahaman , Anirudh Pradhan , Nasr Ahmed , Saibal Ray , Bijan Saha , Mosiur Rahaman

Motivated by the motion of biopolymers and membranes in solution, this article presents a formulation of the equations of motion for curves and surfaces in a viscous fluid. We focus on geometrical aspects and simple variational methods for…

软凝聚态物质 · 物理学 2010-05-26 Thomas R. Powers

We study the translational and rotational dynamics of neutrally-buoyant finite-size spheroids in hydrodynamic turbulence by means of fully resolved numerical simulations. We examine axisymmetric shapes, from oblate to prolate, and the…

流体动力学 · 物理学 2022-04-01 Linfeng Jiang , Cheng Wang , Shuang Liu , Chao Sun , Enrico Calzavarini

Acoustic fields effect steady transport of suspended particles by rectifying the inertia of primary oscillations. We develop a fully analytic theory that relates this steady particle motion to incident oscillatory (acoustic) flow and the…

流体动力学 · 物理学 2023-10-03 Xiaokang Zhang , Jake Minten , Bhargav Rallabandi

We investigate the two-dimensional flow of a liquid foam around circular obstacles by measuring all the local fields necessary to describe this flow: velocity, pressure, bubble deformations and rearrangements. We show how our experimental…

流体动力学 · 物理学 2009-11-11 Benjamin Dollet , Francois Graner

We investigate the sedimentation properties of quasi-neutrally buoyant inertial particles carried by incompressible zero-mean fluid flows. We obtain generic formulae for the terminal velocity in generic space-and-time periodic (or steady)…

流体动力学 · 物理学 2018-02-13 Marco Martins Afonso , Sílvio Marques de Almeida Gama

We characterize a system of hard spheres with a simple collision rule that breaks time reversal symmetry, but conserves energy. The collisions lead to an a-chiral, isotropic, and homogeneous stationary state, whose properties are determined…

统计力学 · 物理学 2022-09-21 Niklas Grimm , Annette Zippelius , Matthias Fuchs

A generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is derived. The proposed correlation incorporates essential rarefied physics, low-speed hydrodynamics, and shock-wave physics to…

We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the…

偏微分方程分析 · 数学 2020-04-22 Olivier Glass , József Kolumbán , Franck Sueur

Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present in this paper several new forms of open boundary conditions for…

流体动力学 · 物理学 2014-12-31 S. Dong , X. Wang

We derive the membrane elastic stress and torque tensors using the standard Helfrich model and a direct variational method in which the edges of a membrane are infinitesimally translated and rotated. We give simple expressions of the stress…

软凝聚态物质 · 物理学 2007-05-23 Jean-Baptiste Fournier

We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis is performed in a body-fixed reference frame, so that the…

偏微分方程分析 · 数学 2026-01-01 Sarka Necasova , Arnab Roy , Ana Leonor Silvestre

In this paper, we formulated the non-steady flow due to the uniformly accelerated and rotating circular cylinder from rest in a stationary, viscous, incompressible and micropolar fluid. This flow problem is examined numerically by adopting…

流体动力学 · 物理学 2016-04-25 Abuzar Abid Siddiqui

An alternative form of the general solution of the linearized stationary Navier-Stokes equations for an incompressible fluid in spherical coordinates is obtained by the vector potential method. A previously published solution to this…

流体动力学 · 物理学 2024-12-10 Peter Lebedev-Stepanov

Understanding the dynamics of material objects advected by turbulent flows is a long standing question in fluid dynamics. In this perspective article we focus on the characterization of the statistical properties of non-interacting…

流体动力学 · 物理学 2024-03-18 Yaning Fan , Cheng Wang , Linfeng Jiang , Chao Sun , Enrico Calzavarini