Flow through a plateau border of cellular foam

✍ Scribed by Dilip Desai; Rajinder Kumar

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 722 KB
• Volume: 37
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(82)85008-2

✦ Synopsis

Abstrae-Experimentally measured average velocities through plateau borders of stationary cellular foam, when cornpared with those calculated with the assumption of rigid Plateau Border wags, show that the assumption of rigid walls severely underestimates the velocities. An analysis of the situation wherein plateau border wags have velocities, as decided by the surface viscosity of the system, is presented here. The plateau border is ideabzed as a pipe of equilateral triangular cross-section witb vertices of the trisngle having zero velocity. The pertinent form of Navier-Stoke's equations with inhomogeneous boundary conditions and its solution through a procedure of successive approximations is presented in dimensionless form. The solution reduces to the known solution of slow steady flow through a trisugalar pipe, when surface viscosity is intinite.

Results indicate that the assumption of tigid plateau border walls is valid only when value of the inverse of dimensionless surface viscosity is less than 0.044. Beyond that the assumption severely underestimates the tlow and the effect of nonrigidity of the wall must be considered.