Gibbs' Dividing Surface between a Fixed-Charge Membrane and an Electrolyte Solution. Application to Electrokinetic Phenomena in Charged Pores

Langmuir ◽  
1999 ◽  
Vol 15 (19) ◽  
pp. 6156-6162 ◽  
Author(s):  
Vicente M. Aguilella ◽  
Julio Pellicer ◽  
Marcelo Aguilella-Arzo
Keyword(s):  
Electrolyte Solution ◽  
Fixed Charge ◽  
Electrokinetic Phenomena ◽  
Dividing Surface ◽  
Gibbs Dividing Surface

scholarly journals Gibbs Thermodynamics of the Renninger-Wilemski Problem

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Victor Kurasov
Keyword(s):  
Activation Barrier ◽  
Numerical Results ◽  
Initial Model ◽  
Surface Approach ◽  
Gibbs Model ◽  
Dividing Surface ◽  
Gibbs Dividing Surface

The Renninger-Wilemski problem in nucleation is analyzed. The Gibbs dividing surfaces method with external parameters is used to enrich the initial model. It is shown that both the traditional (Doyle) model and the Renninger-Wilemski model are not complete ones and, namely, the Gibbs dividing surface approach can solve this problem. It is shown that the application of the Gibbs approach also requires some model constructions. The simplified Gibbs model is proposed. It is shown that the simplified Gibbs model gives for the height of activation barrier the same numerical results as the Renninger-Wilemski model.

Experimental Study on Water Evaporation Enhanced by Surface Heating

2010 ◽  
Author(s):  
Fei Duan
Keyword(s):  
Thermal Conduction ◽  
Flat Surface ◽  
Water Evaporation ◽  
Interfacial Flow ◽  
Liquid Temperature ◽  
Temperature Position ◽  
Dividing Surface ◽  
Stefan Condition ◽  
Evaporation Flux ◽  
Gibbs Dividing Surface

The average evaporation flux was significantly higher while water was heated at a flat surface by two aligned heating elements than that while the water surface was heated 5 mm below in the designed experiments under the similar conditions. The observation is contrary to the Stefan condition. A thermodynamic model is derived from the Gibbs dividing-surface approximation at a flat evaporating surface to demonstrate that an interfacial flow can enhance the evaporation by transporting energy from a high temperature position to a low temperature position. The measures showed that the interfacial liquid temperature was up to 6.9°C higher around the heating wires than that at the centerline between two heating wires as water was heated at the interface. The induced interfacial flow can transport the energy to maintain the evaporation by overtaking the negative thermal conduction to the interface globally.

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