On creeping flow of a visco-plastic fluid past a circular cylinder

✍ Scribed by K. Adachi; N. Yoshioka

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 991 KB
• Volume: 28
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(73)85102-4

✦ Synopsis

The creeping flow of a Bingham fluid past a circular cylinder was analyzed by using variational principles.

In consequence, the stress distribution which was represented in Eq. ( 23) and Table 1 was obtained from a maximum principle, and the velocity distribution which was represented in Eq. ( 41) and Table 1 was obtained from a minimum principle. The drag forces derived from these results are compared with those estimated by a slip-line analysis in Fig. 1.

A characteristic peculiarity that the visco-plastic flow has a fluid region and a rigid region is illustrated in Fig. 3.

It may be inferred that the result obtained from a maximum principle is useful.