A particular unsteady viscometric flow

✍ Scribed by Phillip C. Wankat

• Book ID: 101426362
• Publisher: American Institute of Chemical Engineers
• Year: 1969
• Tongue: English
• Weight: 181 KB
• Volume: 15
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690150137

✦ Synopsis

A Particular Unsteady Viscometric Flow

In a recent article Johns ( 1 ) treats the unsteady torsional solenoidal flow of the form

By introducing a coordinate transformation Johns shows that this flow can be treated as a curvilinear flow, and he then solves for the components of the extra stress tensor in terms of the three viscometric functionals of the material. The coordinate transformation method could also be used for different coordinate systems.

These same results can be obtained for a general cvordinate system by an alternate method. By an analysis very similar to that of Truesdell and No11 (2) it will be shown that any flow of the form: with and