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The semi-analytical wall boundary conditions present a mathematically rigorous framework to prescribe the influence of solid walls in SPH for fluid flows. In this paper they are investigated with respect to the skew-adjoint property which…

Fluid Dynamics · Physics 2015-06-15 Arno Mayrhofer , Benedict D. Rogers , Damien Violeau , Martin Ferrand

The acoustic modes of a rotating fluid-filled cavity can be used to determine the effective rotation rate of a fluid (since the resonant frequencies are modified by the flows). To be accurate, this method requires a prior knowledge of the…

Fluid Dynamics · Physics 2021-09-01 Jérémie Vidal , David Cébron

Advantage is taken of the arbitrariness in energy reference to consider anew integral transcriptions of Schrodinger's equation in the presence of potentials which at infinity acquire constant, nonvanishing values. It is found possible to…

Classical Analysis and ODEs · Mathematics 2020-06-08 Jan A. Grzesik

In this paper we investigate the properties of rapidly rotating decaying turbulence using numerical simulations and phenomenological modelling. We find that as the turbulent flow evolves in time, the Rossby number decreases to $\sim…

Fluid Dynamics · Physics 2018-04-20 Manohar K. Sharma , Abhishek Kumar , Mahendra K. Verma , Sagar Chakraborty

This paper considers the question of characterizing the behavior of waves reflected by a fractional singularity of the wave speed profile, i.e., of the form \[ c(x_1, x_2, x_3) = c_0 \left(1 + \left( \frac{x_1}{\ell}\right)_{+}^\alpha…

Analysis of PDEs · Mathematics 2023-05-09 Laurent Demanet , Olivier Lafitte

We study the viscosity spectral function of a holographic 2+1 dimensional fluid with Schroedinger symmetry. The model is based on a twisted compactification of $Ads_5\times S_5$. We numerically compute the spectral function of the stress…

High Energy Physics - Theory · Physics 2014-12-03 Thomas Schaefer

A scaling relation for the high frequency regime of streamwise energy spectra (in frequency domain) in the near-wall region is proposed. This is based on the dimensional analysis approach of \cite{perry1977} and \cite{Zamalloa2014} together…

Fluid Dynamics · Physics 2018-11-07 B. Ganapathisubramani

We study the electro-hydrodynamics of the Debye screening layer that arises in an aqueous binary solution near a planar insulating wall when applying a spatially modulated AC-voltage. Combining this with first order perturbation theory we…

Soft Condensed Matter · Physics 2007-05-23 N. A. Mortensen , L. H. Olesen , L. Belmon , H. Bruus

A mechanism for relationship of solvent viscosity with reaction rate constant at enzyme action is suggested. It is based on fluctuations of electric field in enzyme active site produced by thermally equilibrium rocking (cranckshaft motion)…

Biomolecules · Quantitative Biology 2009-11-13 A. E. Sitnitsky

Wave functions and electron potentials of laterally-confined surface states are determined experimentally by means of photoemission from stepped Au(111) surfaces. Using an iterative formalism borrowed from x-ray diffraction, we retrieve the…

Materials Science · Physics 2012-11-13 A. Mugarza , J. E. Ortega , F. J. Himpsel , F. J. Garcia de Abajo

Pressure-driven flow collapses when confined ($u\propto r^{2}$). Asymmetry rectifies surface activity (exchange or slip gradients) into axial flux at $\Delta P=0$ despite zero net exchange. Lorentz reciprocity yields a projection law:…

Fluid Dynamics · Physics 2026-01-13 Zheng Li

The frequency spectra of the entropy and kinetic energy along with the power spectrum of the thermal flux are computed from direct numerical simulations for turbulent Rayleigh-B\'{e}nard convection with uniform rotation about a vertical…

Fluid Dynamics · Physics 2014-11-11 Hirdesh K. Pharasi , Krishna Kumar , Jayanta K. Bhattacharjee

An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power-law relation between the pre-stretches is assumed and it is shown that this assumption is well-motivated physically…

Classical Physics · Physics 2008-12-09 J. G. Murphy , M. Destrade

The dynamic hyperpolarizability of a particle bound by the one-dimensional $\delta$-function potential is obtained in closed form. On the first step, we analyze the singular structure of the non-linear response function as given by the…

Atomic Physics · Physics 2009-10-15 Khompat Satitkovitchai

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…

Fluid Dynamics · Physics 2023-10-03 Xiaokang Zhang , Jake Minten , Bhargav Rallabandi

A flexible foil undergoing pitching oscillations is studied experimentally in a wind tunnel with different imposed free stream velocities. The chord-based Reynolds number is in the range 1600--4000, such that the dynamics of the system is…

Fluid Dynamics · Physics 2022-06-08 Juan D'Adamo , Manuel Collaud , Roberto Sosa , Ramiro Godoy-Diana

We investigate electro-osmosis in aqueous solutions of polyelectrolytes using mean-field equations. A solution of positively charged polyelectrolytes is confined between two negatively charged planar surfaces, and an electric field is…

Soft Condensed Matter · Physics 2015-06-16 Yuki Uematsu , Takeaki Araki

Surface hopping has seen great success in describing molecular phenomena where electronic excitations tend to be localized, but its application to materials with band-like electronic properties has remained limited. Here, we derive a…

Chemical Physics · Physics 2022-01-26 Alex Krotz , Roel Tempelaar

Following the observations of the self-similarity in various length scales in the roughness of the fractured solid surfaces, we propose here a new model for the earthquake. We demonstrate rigorously that the contact area distribution…

Statistical Mechanics · Physics 2009-10-31 Bikas K. Chakrabarti , Robin B. Stinchcombe

When a flat stress-free surface (i.e., the ground in seismological applications) separating air from a isotropic, homogeneous or horizontally-layered, solid substratum is solicited by a SH plane body wave incident in the substratum, the…

Classical Physics · Physics 2007-05-23 Armand Wirgin , Jean-Philippe Groby