Three cases were studied :
1. Phan Tien  Tanner model : Deborah number =
1
2. Phan Tien  Tanner model : Deborah number = 10
(tutorial)
3. Newtonian isothermal flow
Notations :
Psi : stream function
Stij : component ij of the stress tensor (cylindar coordinates)
1. Phan Tien  Tanner model : Deborah number = 1
Elapsed time =5400 s
Number of iterations = 12








TCPU = 1146 s
Elapsed time= 7059.7 s
Number of iterations = 17










TCPU = 3s
Elapsed time =21.6 s
Number of iterations = 1









If we compare the three cases we can see that results for De=1 are closer to the newtonian case than for De=10. The deborah number described the state of the viscoelastic fluid :
Morover in the De=10 case, we can see the division into two parts of the flow separated by the stream line close to the wall before the contraction.