Unconditional non-linear stability for a fluid of third grade

✍ Scribed by Paula Budu

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 142 KB
• Volume: 27
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.466

✦ Synopsis

Abstract

The thermal convection in a layer of a third grade fluid is investigated, with viscosity being a general function of temperature. We develop a non‐linear stability analysis and prove that unconditional non‐linear stability criterion is achieved using a natural energy approach. This shows that, in some sense, the equations for a fluid of third grade are preferable to those for a fluid of second grade or a dipolar fluid. Copyright © 2004 John Wiley & Sons, Ltd.