The velocity and temperature distributions in a liquid film

✍ Scribed by Mouradian, E. M. ;Sunderland, J. E.

• Book ID: 104747836
• Publisher: Springer
• Year: 1964
• Tongue: English
• Weight: 846 KB
• Volume: 14
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382265

✦ Synopsis

T h e s t e a d y s t a t e velocity d i s t r i b u t i o n in a liquid film is i n v e s t i g a t e d analytically. T h e liquid is a s s u m e d to a p p e a r on a flat surIace due to t r a nspiration t h r o u g h a porous m e d i u m or t h e m e l t i n g of a solid material. T h e liquid is considered to be i n t r o d u c e d into t h e film at t h e solid-liquid interface, in a direction n o r m a l to t h e interface, such t h a t mass is continually being a d d e d to t h e film along t h e longitudinal p a t h of flow. T h e flow, which is a s s u m e d to be laminar, occurs u n d e r t h e influence of gravity. E v a p o r a t i o n a n d gaseous b o u n d a r y layer effects are n o t considered. Physical properties of t h e liquid, such as density a n d viscosity are considered constant. T h e c o n t i n u i t y a n d m o m e n t u m equations are set up in integral form a n d t h e film thickness a n d velocity d i s t r i b u t i o n are d e t e r m i n e d b y four different approaches. These four approaches differ from one a n o t h e r b y t h e simplifying a s s u m p t i o n s made. These a s s u m p t i o n s are m a d e in such a w a y t h a t each successive case takes different effects into account, a n d yields a solution based on a more complete analysis.