We use the lubrication approximation to investigate the unsteady gravity-driven draining of a thin rivulet of Newtonian fluid with temperature-dependent viscosity down a substrate that is either uniformly hotter or uniformly colder than the surrounding atmosphere. First we derive the general nonlinear evolution equation for a thin film of fluid with an arbitrary dependence of viscosity on tempe...

We study the existence, uniqueness as well regularity issues for two-dimensional incompressible Boussinesq equations with temperature-dependent thermal and viscosity diffusion coefficients in general Sobolev spaces. The optimal exponent ranges are considered.

Extensive isothermal-isobaric ~NPT! molecular dynamics simulations at many different temperatures and pressures have been carried out in the well-known Kob–Andersen binary mixture model to monitor the effect of pressure ~P! and temperature ~T! on the dynamic properties such as the viscosity (h) and the self-diffusion (Di) coefficients of the binary system. The following results have been obtain...

We have calculated viscosity and mutual diffusion of deuterium-tritium (DT) in the warm, dense matter regime for densities from 5 to 20 g/cm{3} and temperatures from 2 to 10 eV, using both finite-temperature Kohn-Sham density-functional theory molecular dynamics (QMD) and orbital-free molecular dynamics (OFMD). The OFMD simulations are in generally good agreement with the benchmark QMD results,...

In this paper, the measurement of the viscosity of ZnO in ethylene glycol, propylene glycol, mixture of ethylene glycol and water (60:40 by weight), and a mixture of propylene glycol and water (60:40 by weight) and the thermal conductivity in ethylene glycol and propylene glycol as base fluids in the range of temperature from 25 ºC to 60 ºC are investigated. The results indicate that as the tem...

We investigate the effect of a temperature gradient on oil recovery in a two-dimensional pore-network model. The oil viscosity depends on temperature as μ(o) [Please see text] e(B/T), where B is a physicochemical parameter, depending on the type of oil, and T is the temperature. A temperature gradient is applied across the medium in the flow direction. Initially, the porous medium is saturated ...