Velocity profiles for plate withdrawal at high speeds

✍ Scribed by Soroka, A. J. ;Tallmadge, J. A.

• Publisher: Springer
• Year: 1972
• Tongue: English
• Weight: 596 KB
• Volume: 25
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382314

✦ Synopsis

A simplified Navier-Stokes equation is applied to the solution of the velocity profile in tile liquid meniscus adhering to long flat supports withdrawn continuously from baths of quiescent liquids. The inertial term is included using an Oseen approximation, the inhomogeneous boundary condition is transformed, and the resulting differential equation is solved by the method of eigenfunction expansions. The series describing the velocity profile and volume flowrate are both found to be rapidly convergent. Qs parameter defined by (23) r function of y, (14) R nondimensional inertial parameter, h Uwp/#