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We study numerically the stability of granular flow on a rough slope in collisional flow regime in the two-dimension. We examine the density dependence of the flowing behavior in low density region, and demonstrate that the particle…

Statistical Mechanics · Physics 2009-11-07 Namiko Mitarai , Hiizu Nakanishi

This Note determines the unsteady non-circulatory forces on an arbitrarily deforming panel with a Holder-continuous porosity distribution. An analytical expression for the non-circulatory pressure distribution is presented and evaluated for…

Fluid Dynamics · Physics 2018-12-06 Rozhin Hajian , Justin W. Jaworski

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

Fluid Dynamics · Physics 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

The stability of flows in layers of finite thickness $H$ is examined against small scale three dimensional (3D) perturbations and large scale two-dimensional (2D) perturbations. The former provide an indication of a forward transfer of…

Fluid Dynamics · Physics 2018-06-04 Alexandros Alexakis

When describing elastic deformations of a body sometimes it is worth to take in account elastic spatial dispersion. If spatial dispersion is weak, as usually happens, then it can be reduced to dependence of thermodynamic potential on strain…

Materials Science · Physics 2015-04-23 A. S. Yurkov

The dynamics and stability of a thin gas layer moving between two fluid layers moving in the same or opposite direction is studied. The linear evolutionary equations describing the spatial-temporal dynamics of the interface perturbations…

Fluid Dynamics · Physics 2018-03-15 Ivan V. Kazachkov

Our study of the basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics [10,11,12,16] is extended to the case of temperature-dependent surface tension. We prove well-posedness in an Lp-setting,…

Analysis of PDEs · Mathematics 2014-05-23 Jan Pruess , Senjo Shimizu , Gieri Simonett , Mathias Wilke

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes…

Probability · Mathematics 2021-11-23 Sarat Babu Moka , Yoni Nazarathy , Werner Scheinhardt

Water wave propagation can be attenuated by various physical mechanisms. One of the main sources of wave energy dissipation lies in boundary layers. The present work is entirely devoted to thorough analysis of the dispersion relation of the…

Classical Physics · Physics 2020-02-20 Denys Dutykh

We report on generic relations between fractional flow and pressure in steady two-phase flow in porous media. The main result is a differential equation for fractional flow as a function of phase saturation. We infer this result from two…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

A general thermodynamic treatment of dissipative relativistic fluids is introduced, where the temperature four vector is not parallel to the velocity field of the fluid. Generic stability and kinetic equilibrium points out a particular…

General Relativity and Quantum Cosmology · Physics 2014-05-27 P. Ván , T. S. Biró

We study the viscosity of light charged particles in weakly ionized plasma with the power-law q-distributions by using the Boltzmann equation of transport and the motion equation of hydrodynamics. The nonequilibrium plasma is considered to…

Plasma Physics · Physics 2019-08-19 Yue Wang , Jiulin Du

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" solutions. Next, we determine dispersion relations for…

Plasma Physics · Physics 2007-05-23 A. J. Turski , B. Atamaniuk , E. Turska

Numerical calculations of Helium-II hydrodynamics show that a dense tangle of superfluid vortices induces in an initially stationary normal fluid a highly dissipative, complex, vortical flow pattern ("turbulence") with a -2.2 energy…

Fluid Dynamics · Physics 2007-05-23 Demosthenes Kivotides

This paper establishes the nonlinear stability of the Couette flow for the 2D Boussinesq equations with only vertical dissipation. The Boussinesq equations concerned here model buoyancy-driven fluids such as atmospheric and oceanographic…

Analysis of PDEs · Mathematics 2020-04-21 Wen Deng , Jiahong Wu , Ping Zhang

An influence of initial distribution nonequilibrium parameters on thermodynamical equilibrium recovery processes in early Universe under the assumption of elementary particles' scaling of interactions in range of superhigh energies is…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Yu. G. Ignatyev , D. Yu. Ignatyev

We investigate the thermal instability of a smooth equilibrium state, in which the density function satisfies Schwarzschild's (instability) condition, to a compressible heat-conducting viscous flow without heat conductivity in the presence…

Analysis of PDEs · Mathematics 2019-02-15 Fei Jiang

Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general…

Dynamical Systems · Mathematics 2009-11-13 A. J. Roberts

The effects of bulk viscosity on the elliptic flow $v_{2}$ are studied using realistic equation of state and realistic transport coefficients. We find that thebulk viscosity acts in a non trivial manner on $v_{2}$. At low $p_{T}$, the…

High Energy Physics - Phenomenology · Physics 2009-11-18 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian
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