Transport phenomena and dimensionless numbers: towards a new methodological approach

Abstract

This review presents a new methodical approach to the classification of dimensionless numbers as pair relationships of the main forces controlling transport phenomena in fluids at the macroscopic level by using a tabulated form. To memorize the transfer numbers at the molecular level a rule in the form of a mnemonic triangle is suggested. The structure of some traditional dimensional numbers presented as the ratio of more than two forces, or the ratio of a force to a geometric mean of two other ones, is also discussed. A classification of natural convection as the interaction of body forces and surface forces, taking into account that sensitive to the force field the fluid density and the surface tension depends on temperature or composition, is presented.

Analysis of Thermal Plume Dispersion into the Sea by Remote Sensing and Numerical Modeling

“…There are differences between the calculations with and without HLES in the same way as there are in the mean flow. Figure 13 shows the evolution and impact of the thermal plume, including a comparison of dimensionless numbers that relate inertial and viscous force effects, natural and forced convection, heat transfer and thermal diffusion, and finally density and buoyancy effects [53]. Overall, the values from the models with HLES are higher than those without HLES, since an additional eddy viscosity is introduced by ν SGS .…”