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...

In this work, we study the flow and heat transfer characteristics of a viscous nanofluid over a nonlinearly stretching sheet in the presence of thermal radiation, included in the energy equation, and variable wall temperature. A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient nume...

Recent work has raised the exciting possibility that r-modes (Rossby waves) in rotating neutron star cores might be strong gravitational-wave sources. We estimate the effect of a solid crust on their viscous damping rate and show that the dissipation rate in the viscous boundary layer between the oscillating fluid and the nearly static crust is more than 105 times higher than that from the shea...

The present paper deals with the study of thermal radiation effect on unsteady flow and heat transfer characteristics of viscous fluid with variable viscosity over a porous stretching sheet placed in a porous medium in the presence of viscous dissipation. A uniform magnetic field is applied transversely to the direction of the flow. Similarity transformations are used to convert the governing t...

Hydrodynamic derivation of the entrainment of matter induced by a surface elastic wave propagating along the flexible vacuum-matter interface is conducted by considering the nonlinear coupling between the interface and the rarefaction effect. The critical reflux values associated with the product of the second-order (unit) body forcing and the Reynolds number (representing the viscous dissipati...

This paper investigates the mechanisms that can be used to enhance absorption performance of poro-elastic materials in viscous regime. It is shown by adding small inclusions a foam layer, mass–spring effect introduced. If material has relatively high losses frequency range interest, sound introducing an additional mode frame and increasing its out-of-phase movement with respect fluid part. More...

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...