We present a framework for discussing LES equations with nonlinear dispersion. In this framework, we discuss the properties of the nonlinearly dispersive Navier-Stokes-alpha (NS−α) model of incompressible fluid turbulence — also called the viscous CamassaHolm equations in the literature — in comparison with the corresponding properties of large eddy simulation (LES) equations obtained via the a...

In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general fo...

Atmospheric dynamics in the tropical regions is dominated by unbalanced motions in response to convective processes, found to vary on many temporal scales from diurnal to inter-seasonal and inter-annual scales. The gravest wave excited by convection is the Kelvin wave and it is characteristics by eastward and upward propagation away from its convective source. As it propagates vertically, a pac...

A pore network model of isothermal drying is presented. The takes into account the capillary effects, transport vapor by diffusion, including Knudsen effect, in gas phase, and Kelvin effect. seen as a first step toward simulation mesoscopic porous materials involving sizes between 4 nm 50 nm. major issue addressed with present computation menisci mean curvature radius at boundary each liquid cl...

The wave propagation in viscothermoelastic materials is discussed the present work using nonlocal thermoelasticity model. This model was created Lord and Shulman generalized thermoelastic due to consequences of delay times formulations heat conduction motion equations. Eringen’s theory continuum. linear Kelvin–Voigt viscoelasticity explains viscoelastic properties isotropic material. analytical...

Abstract The paper presents a certain method of analysing the dynamics belt transmission. A flat transmission model developed by us was presented. For analysis, it assumed 5PK belt. discrete model, being system rigid beams interconnected with flexible and shock-absorbing elements, used. To account for mutual influence between pulleys, Kelvin–Voigt contact GMS friction also implemented, which al...

I present a nonlinear differential equation model for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kinetic equation, its direct and inverse cascade solutions, as well as the thermodynamic equilibrium spectra. 1 Kelvulence: cascades and spectra. Kelvin waves propagating on a thin vortex filament were proposed by Svistunov to be...

Thermally induced electrical currents, known as Johnson noise, cause fluctuating electric and magnetic fields in proximity to a conductor. These fluctuations are intrinsically related to the conductivity of the metal. We use single-spin qubits associated with nitrogen-vacancy centers in diamond to probe Johnson noise in the vicinity of conductive silver films. Measurements of polycrystalline si...