| |
|
Výpočet hustotních profilů nano-kapiček použitím gradientní teorie: numerické řešení v transformovaných proměnných
Hrubý, Jan
The Cahn-Hilliard gradient theory extends the continuum fluid mechanics and thermodynamics to objects of typical dimensions of 1 nm. The present investigation concerns the computation of the density profile of a equilibrium spherical case (droplet, bubble). The solution for this case reduces to a single second-order ordinary differential equation (ODE) with boundary conditions. To overcome computational difficulties due to the tremendous difference of thermodynamic properties of the liquid and vapor phases at low temperatures, we suggest some mathematical transforms. Using these transforms, the right-hand side of the ODE becomes well-behaved and the numerical solution is converging.
|
| |
| |
| |
|
Přechodové teplotní pole v komoře pro měření povrchového napětí podchlazených kapalin
Hrubý, Jan ; Müller, M. ; Richtr, K. ; Mareš, R.
Results of mathematical modeling of the transient temperature field in a new chamber developed to measure surface tension of supercooled liquids are presented. The chamber is designed to enable a very fast (within 0.1 s) formation of a homogeneous temperature field (within 0.02 K) after a temperature jump of 60 K. The interior of the chamber of dimensions 20x16x32 mm is filled with dry nitrogen surrounding the measuring capillary and thermometers (very fine thermocouples and RTD’s). The temperature jump is generated by switching the flow direction of the nitrogen serving as a heat transmitting fluid. To reduce the thermal boundary layer near the bottom and ceiling walls, they are made permeable and some gas is sucked out. The flow in the chamber is laminar. We compute the temperature field analytically and numerically, using the commercial software Fluent. The results indicate that the design objectives of the experimental device were met.
|
| |
|
Povrchové napětí čisté vody
Richtr, K. ; Hrubý, Jan ; Mareš, M.
The problem of surface tension of supercood water is briefly reviewed. A device is described, developed for measurements of the surface tension of supercooled water. Some preliminary experimental data are given and compared with IAPWS values.
|
| |