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Bernoulli's equation, which relates the pressure of an ideal fluid in motion with its velocity and height under certain conditions, is a central topic in General Physics courses for Science and Engineering students. This equation,…

Physics Education · Physics 2021-05-20 Alvaro Suarez , Mateo Dutra , Martin Monteiro , Arturo C. Marti

Droplet velocities used in impact studies were investigated using high-speed photography. It was determined that droplets do not reach terminal velocity before a typical impact, raising the question of how to predict impact velocity. This…

Fluid Dynamics · Physics 2023-04-05 Wenjie Ji , Siyuan Wang , Jiguang Hao , J. M. Floryan

In this paper we establish some regularity criteria for the 3D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity. We also obtain some uniform estimates for the corresponding 2D case when the fluid viscosity…

Analysis of PDEs · Mathematics 2014-07-25 Jishan Fan , Fucai Li , Gen Nakamura

Measuring the relative humidity of air is an important challenge for meteorological measurements, food conservation, building design, and evaporation control, among other applications. Relative humidity can be measured with a psychrometer,…

Physics Education · Physics 2023-09-20 Marie Corpart , Frédéric Restagno , François Boulogne

Viscosity ($\eta$) is one of the most important properties of disordered matter. The temperature-dependence of viscosity is used to adjust process variables for glass-making, from melting to annealing. The aim of this work was to develop a…

Computational Physics · Physics 2021-03-17 Daniel R. Cassar

Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary…

For a given dimension d $\ge$ 2 and a finite measure $\nu$ on (0, +$\infty$), we consider $\xi$ a Poisson point process on R d x (0, +$\infty$) with intensity measure dc $\otimes$ $\nu$ where dc denotes the Lebesgue measure on R d. We…

Probability · Mathematics 2020-11-30 Jean-Baptiste Gouéré , Marie Théret

Many manmade and naturally occurring materials form viscoelastic solids. The increasing use of biologically inspired elastomeric material and the extreme mechanical response these elastomers offer drive the need for a better, more intuitive…

Soft Condensed Matter · Physics 2018-06-05 Erez Y. Urbach , Efi Efrati

Viscosity in the metallurgical and glass industry plays a fundamental role in its production processes, also in the area of geophysics. As its experimental measurement is financially expensive, also in terms of time, several mathematical…

Applications · Statistics 2022-11-11 Patrick dos Anjos

A vanishing viscosity method is formulated for two-dimensional transonic steady irrotational compressible fluid flows with adiabatic constant $\gamma\in [1,3)$. This formulation allows a family of invariant regions in the phase plane for…

Analysis of PDEs · Mathematics 2007-05-23 Gui-Qiang Chen , Marshall Slemrod , Dehua Wang

The ambient gas pressure is determined for the onset of splashing of low-viscosity liquid drops on smooth dry surfaces as we change the control parameters: drop impact velocity, drop radius, viscosity, surface tension, density, and gas…

Soft Condensed Matter · Physics 2015-06-19 Cacey S. Stevens

Viscosity is an important property of out-of-equilibrium systems such as active biological materials and driven non-Newtonian fluids, and for fields ranging from biomaterials to geology, energy technologies and medicine. However,…

Using classical as well as ab-initio molecular dynamics simulations, we calculate the frequency-dependent shear viscosity of pure water and water-glycerol mixtures. In agreement with recent experiments, we find deviations from…

This article presents a detailed analysis of an undergraduate physics laboratory experiment designed to determine the density of water using fundamental measurement techniques and data analysis methods. The experimental setup consists of a…

Physics Education · Physics 2025-08-06 Osvaldo L. Santos-Pereira

Several correlations between viscosity and surface tension for saturated normal fluids have been proposed in the literature. Usually, they include three or four adjustable coefficients for every fluid and give generally good results. In…

Chemical Physics · Physics 2016-07-14 Jianxiang Tian , A. Mulero

A small water tunnel was designed as a table top experiment to visualize and measure basic fluid dynamic phenomena. The visualization of the flow by a laser light sheet and the measurement with Particle Image Velocimetry (PIV) proves to be…

Fluid Dynamics · Physics 2025-08-05 William Thielicke , Steffen Risius

The discontinuity of the vorticity is written as a function of the vector T grad s, (where T is the temperature and s the specific entropy). The expression is obtained thanks to potential equations and independently of the mass conservation…

Classical Physics · Physics 2008-12-18 Henri Gouin

A simple model for viscous liquid dynamics is introduced. Consider the surface of the union of hyper-spheres centered at random positions inside a hypercube with periodic boundary conditions. It is argued and demonstrated by numerical…

Soft Condensed Matter · Physics 2022-06-08 Filip Samuelsen , Lorenzo Costigliola , Thomas B. Schrøder

Noting that there is very little literature on the topic, a first analytical approach is proposed in this work for estimating the viscosity-like parameter of three-phase viscoplastic materials. In a first part, the conditions of application…

Classical Physics · Physics 2026-03-09 Frank Montheillet , David Piot

The Brinkman equation has found great popularity in modelling the interfacial flow between free fluid and a porous medium. However, it is still unclear how to determine an appropriate effective Brinkman viscosity without resolving the flow…

Fluid Dynamics · Physics 2021-06-04 Aidan Rinehart , Uǧis Lācis , Shervin Bagheri