Impact of wall potential on the fluid–wall interaction in a cylindrical capillary and a generalized Kelvin equation

✍ Scribed by T.S. Jakubov; D.E. Mainwaring

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 223 KB
• Volume: 381
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2005.12.251

✦ Synopsis

In the present work a generalized Kelvin equation for a fluid confined in thick-walled cylindrical capillary is developed. This has been accomplished by including the potential energy function for interaction between a solid wall of a capillary and a confined fluid into the Kelvin equation. Using the Lennard-Jones 12-6 potential, an explicit form of the potential energy functions as expressed by hypergeometrical functions have been derived-firstly, for the interaction between a solid wall and a test atom placed at an arbitrary point in a long open-end capillary, and thereafter for the body-body interaction between the solid wall and a confined Lennard-Jones fluid. Further, this generalized Kelvin equation has been applied to detailed description hysteresis phenomena in such capillaries. All numerical calculations have been carried out for the model argon-graphite system at 90 K.