|
[Sponsors] |
August 17, 2016, 17:50 |
Viscoplastic plug flow equation
|
#1 |
New Member
Join Date: Aug 2016
Posts: 1
Rep Power: 0 |
Hi! I am having trouble with writing equation for the velocity in the plug flow region of viscoplastic fluid. Any kind of suggestion would be highly appreciated.
Problem: It's a two layer pipe flow with two viscoplastic fluids. The radius of the pipe is (-1<r<1) where there is a plug flow in (-0.5<r<0.5). And the velocity equations are: v1=Ar^2 - Br + Clnr for (-1<r<-0.5) v2=A(-0.5)^2 - B(-0.5) + Cln(-0.5) for (-0.5<r<0.5) v3=A(0.5)^2 + B(0.5) + Cln(0.5) for (-0.5<r<0.5) v4=Ar^2 + Br + Clnr for (0.5<r<1) where A,B,C are constants and v2=v3 My confusion: v1 and v4 are correct and we can have the constant value of the plug flow region from these two equations. But there is no term r_i which is the interfacial radius. To be continuous at the interface between two flows- the velocity and the shear stress must be continuous, but according to my calculation, there is no r_i term |
|
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Calculation of the Governing Equations | Mihail | CFX | 7 | September 7, 2014 06:27 |
Conservative form of N-S equation for incompressible flow and sharp interface | doctorWho | Main CFD Forum | 1 | November 5, 2013 05:53 |
periodic flow-solve flow equation | Lilly | FLUENT | 5 | March 4, 2013 07:10 |
Two-Phase Buoyant Flow Issue | Miguel Baritto | CFX | 4 | August 31, 2006 12:02 |
Plug Flow | Franck | Main CFD Forum | 3 | September 4, 2003 05:57 |