The present work involves the numerical simulation of forced convective incompressible flow through porous media, and the associated transport processes. A full general model for the momentum equation was employed. The mathematical model for energy transport was based on the two-phase equation model which assumes no local thermal equilibrium between the fluid and the solid phases, The investiga...

We discuss spatio-temporal pattern formation in two separate thermal convective systems. In the first system, hydrothermal waves (HTW) are modeled numerically an annular channel. A temperature difference is imposed across channel, which induces a surface tension gradient on free of fluid, leading to flow towards cold side. The axially symmetric along with internal circulation for small differen...

Canonical quantization of local field theories in classical black hole spacetimes with a single horizon leads to a particle number density with a thermal distribution in equilibrium at the Hawking temperature. A complete treatment including non-local quantum gravity effects has shown however that the full " thermal vacuum " of the theory is the false vacuum. In this work, we find the true vacuu...

In this paper we derive deterministic mesoscopic theories for model continuous spin lattice systems both at equilibrium and non-equilibrium in the presence of thermal fluctuations. The full magnetic Hamiltonian that includes singular integral (dipolar) interactions is also considered at equilibrium. The non-equilibrium microscopic models we consider are relaxation-type dynamics arising in kinet...

Selective photothermolysis is the basic principle for laser treatment of vascular malformations such as port wine stain birthmarks (PWS). During cutaneous laser surgery, blood inside blood vessels is heated due to selective absorption of laser energy, while the surrounding normal tissue is spared. As a result, the blood and the surrounding tissue experience a local thermodynamic non-equilibrium...

MODELING OF THERMAL NON-EQUILIBRIUM IN SUPERHEATED INJECTOR FLOWS

The aim of this paper is the development of equilibrium and non-equilibrium extensions of the quasicontinuum (QC) method. We first use variational mean-field theory and the maximum-entropy (max-ent) formalism for deriving approximate probability distribution and partition functions for the system. The resulting probability distribution depends locally on atomic temperatures defined for every at...