Drop in a metastable vapor: Laplace equation,surface tension,and minimum drop size |
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| Affiliation: | 1. School of Engineering, Jönköping University, Box 1026, 551 11 Jönköping, Sweden;2. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;1. Biomedical Research Center, Health Sciences Technology Park, University of Granada and RETICEF, Granada, Spain;2. Department of Physiology, Faculty of de Medicine, University of Granada, Granada, Spain;3. Laboratory of Biopathology, University Hospital San Cecilio, Granada, Spain;1. State Key Laboratory of Complex Nonferrous Metal Resources Cleaning Utilization in Yunnan Province, Kunming University of Science and Technology, Kunming 650093, PR China;2. The National Engineering Laboratory for Vacuum Metallurgy, Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, PR China;3. Engineering Research Center for Silicon Metallurgy and Silicon Materials of Yunnan Provincial Universities, Kunming University of Science and Technology, Kunming 650093, PR China;1. Poznan University of Technology, Institute of Machines and Motor Vehicles, Piotrowo 3, 60-965 Poznań, Poland;2. Poznan University of Technology, Institute of Materials Science and Engineering, M. Sklodowskiej-Curie 5, 60-965 Poznań, Poland;1. Department of Manufacturing Technology, Laboratory of Foundry, Central Metallurgical Research and Development Institute (CMRDI), P.O. 87, Helwan, Egypt;2. Biophysics Group, Physics Department, Faculty of Science, Ain Shams University, P.O.11566, Cairo, Egypt;3. Department of Neuroscience Technology, College of Applied Medical Science, Imam Abdul Rahman Bin Faisal University, P.O. 4030, Jubail, Kingdom of Saudi Arabia;4. Physics Department, Faculty of Science, Ain Shams University, P.O. 11566, Cairo, Egypt |
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| Abstract: | A van der Waals mean field theory is applied to a Lennard–Jones fluid for studying drop formation in a supersaturated vapor. A spherical surface separates the fluid particles in two homogeneous regions. The model provides densities, radii, minimum radii and excess pressure. By comparing the excess pressure with that given by the Laplace equation, surface tension is worked out. Its dependence on drop size, densities, and temperature, and its asymptotic values to planar interface are found. The model reveals the existence of an absolute minimum drop and drops with densities close to the supersaturated vapor. |
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