In this paper the thermal transport phenomena in MEMS are investigated. The thermal Klein-Gordon transport equation for nanoscale structures is formulated and solved.

Electro-kinetic fluids can be modeled by hydrodynamic systems describing the coupling between fluids and electric charges. The system consists of a momentum equation together with transport equations of charges. In the dynamics, the special coupling between the Lorentz force in the velocity equation and the material transport in the charge equation gives an energy dissipation law. In stationary...

Abstract. The purpose of this study is to describe a coupled pressure based solution algorithm to model interface capturing problems for multiphase flows where neither of the phases can be regarded as dominant. As to a segregated approach using an iterative solution scheme consisting of successive solutions of the transport equation for each phase, the phase for which the equation is solved fir...

We present a formula for thermal transport in the bulk of Bose systems based on quantum Boltzmann equation (QBE). First, starting from kinetic and using Born approximation impurity scattering, we derive QBE provide subjected to temperature gradient. Next, apply magnons. Assuming relaxation time focusing linear response regime, show that longitudinal conductivity exhibits different behavior conv...

This paper continues our treatment of the Neutron Transport Equation (NTE) building on work in [arXiv:1809.00827v2], [arXiv:1810.01779v4] and [arXiv:1901.00220v3], which describes flux neutrons through inhomogeneous fissile medium. Our aim is to analyse existing novel Monte Carlo (MC) algorithms, aimed at simulating lead eigenvalue associated with underlying model. quantity principal importance...

In this paper, we construct a piecewise interpolation method of approximate solution the transport equation based on Newton polynomial two variables. We transform to algebraic form with numerical coefficients; leads us sequence iterations, which improves accuracy approximation. The is implemented in software and experiments are performed. possibility generalizations systems partial differential...