Strongly-coupled dusty plasmas often exhibit liquid behavior. Liquids behave as a viscous continuum in the hydrodynamic regime. However, in the kinetic regime of a liquid, viscous and elastic effects occur at the same time [1], i.e., the liquid is said to be viscoelastic. To characterize the viscoelasticity of a liquid, the complex viscosity, () = () i(), is often used, where the real a...

High resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency correction and the crossover from the inertial to the dissipation range is confirmed. Evidence is found for the intermediate viscous dissipation range proposed by Frisch and Vergassola. It is emphasized that insufficient d...

We study a class of time evolution models that contain dissipation mechanisms exhibited by geophysical materials during deformation: plasticity, viscous dissipation and fracture. We formally prove that they satisfy a Clausius-Duhem type inequality. We describe a semi-discrete time evolution associated with these models, and report numerical 1D and 2D traction experiments, that illustrate that s...

We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler–Korteweg and the Navier–Stokes–Korteweg systems. We show that the scheme for the Euler–Korteweg system is energy and mass conservative and that the scheme for the Navier–Stokes–Korteweg system is mass conservative and monotonically energy dissipative. In this case the dissipation is isolated to...

The present study elucidates the results on mathematical modeling and numerical for viscous flow demeanor past over plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis effects of magnetic field, thermal radiation dissipation are considered observed. Cartesian coordinate system is employed modelling equations. In this research water act as tradit...

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a fundamental control on the rate at which the fluids mix. Here we analyze the characteristic signature of the mixing process in viscously unstable flows, by mean...

We develop and discuss global accretion solutions for viscous ADAF disks containing centrifugally supported isothermal shock waves. The fact that such shocks can exist at all in ADAF disks is a new result. Interestingly, we find that isothermal shocks can form even when the level of viscous dissipation is relatively high. In order to better understand this phenomenon, we explore all possible co...

This paper investigates the influence of the effect of viscous dissipation and radiation on natural convection heat transfer from vertical flat plate in a non-Darcy porous media saturated with non-Newtonian fluid of variable viscosity. The wall and the ambient medium are maintained at constant but different levels of temperature. The Ostwald–de Waele power law model is used to characterize the ...

A non-isothermal formulation of the Poisson-Nernst-Planck with Navier-Stokes equations is used to study the influence of heating effects in the form of Joule heating and viscous dissipation and imposed temperature gradients on a microchannel/nanochannel system. The system is solved numerically under various cases in order to determine the influence of temperature-related effects on ion-selectiv...