Matched asymptotic solution for flow in a semi-hyperbolic die

详细信息    查看全文

• 作者：Subramanian ; Ganapathy ; Ranade ; Vivek ; Nagarkar ; Shailesh ; Lele ; Ashish
• 关键词：Semi-hyperbolic ; Elongation viscosity ; Matched asymptotic solution
• 刊名：Chemical Engineering Science
• 出版年：2005
• 出版时间：June, 2005
• 年：2005
• 卷：60
• 期：11
• 页码：3107-3110
• 全文大小：271 K

文摘

A semi-hyperbolic converging geometry finds application as an inexpensive elongation rheometer under certain flow conditions. We provide a matched asymptotic solution for the flow of a Newtonian fluid under no-slip boundary conditions. The predicted velocity and pressure profiles agree nearly quantitatively with CFD simulated values. Our theoretical approach has certain advantages over the known similarity solution proposed by James (1991. A.I.Ch.E. Journal 37, 59–64).