Dynamic van der Waals theory

by: Akira Onuki

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 75, No. 3. (2007)

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Abstract

We present a dynamic van der Waals theory starting with entropy and energy functional with gradient contributions. The resultant hydrodynamic equations contain the stress arising from the density gradient. It provides a general scheme of two-phase hydrodynamics involving the gas-liquid transition in nonuniform temperature. Some complex hydrodynamic processes with evaporation and condensation are examined numerically. They are (i) adiabatically induced spinodal decomposition, (ii) piston effect with a bubble in liquid, (iii) temperature and velocity profiles around a droplet in heat flow, (iv) efficient latent heat transport at small liquid densities (the mechanism of heat pipes), (v) boiling in gravity with continuous bubble formation and rising, and (vi) spreading and evaporation of liquid on a heated boundary wall.

@article{citeulike:1246797, abstract = {We present a dynamic van der Waals theory starting with entropy and energy functional with gradient contributions. The resultant hydrodynamic equations contain the stress arising from the density gradient. It provides a general scheme of two-phase hydrodynamics involving the gas-liquid transition in nonuniform temperature. Some complex hydrodynamic processes with evaporation and condensation are examined numerically. They are (i) adiabatically induced spinodal decomposition, (ii) piston effect with a bubble in liquid, (iii) temperature and velocity profiles around a droplet in heat flow, (iv) efficient latent heat transport at small liquid densities (the mechanism of heat pipes), (v) boiling in gravity with continuous bubble formation and rising, and (vi) spreading and evaporation of liquid on a heated boundary wall.}, author = {Onuki, Akira }, citeulike-article-id = {1246797}, doi = {http://dx.doi.org/10.1103/PhysRevE.75.036304}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {articles}, number = {3}, posted-at = {2007-04-24 06:11:41}, priority = {4}, publisher = {APS}, title = {Dynamic van der Waals theory}, url = {http://dx.doi.org/10.1103/PhysRevE.75.036304}, volume = {75}, year = {2007} }

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TY - JOUR ID - citeulike:1246797 L3 - citeulike-article-id:1246797 TI - Dynamic van der Waals theory JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) VL - 75 IS - 3 PB - APS N2 - We present a dynamic van der Waals theory starting with entropy and energy functional with gradient contributions. The resultant hydrodynamic equations contain the stress arising from the density gradient. It provides a general scheme of two-phase hydrodynamics involving the gas-liquid transition in nonuniform temperature. Some complex hydrodynamic processes with evaporation and condensation are examined numerically. They are (i) adiabatically induced spinodal decomposition, (ii) piston effect with a bubble in liquid, (iii) temperature and velocity profiles around a droplet in heat flow, (iv) efficient latent heat transport at small liquid densities (the mechanism of heat pipes), (v) boiling in gravity with continuous bubble formation and rising, and (vi) spreading and evaporation of liquid on a heated boundary wall. KW - articles AU - Onuki, Akira PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevE.75.036304 ER -

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