Results


Three cases were studied :

Notations :

Psi : stream function
Stij : component ij of the stress tensor (cylindar coordinates)

 

1. Phan Tien - Tanner model : Deborah number = 1


Psi for De=10


Psi for newtonian case


St11 for De=10


St11 for newtonian case

 


St12 for De=10


St12 for newtonian case

 

 


St22 for De=10


St22 for newtonian case

 

 


St33 for De=10


St33 for newtonian case

 

 

 

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


Psi for De=1


Psi for newtonian case

 

 


St11 for De=1


St11 for newtonian case

 


St12 for De=1


St12 for newtonian case

 


St22 for De=1


St22 for newtonian case

 

 


St33 for De=1


St33 for newtonian case

 

 

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


Psi for De=10


Psi for De=1

 


St11 for De=10


St11 for De=1

 


St12 for De=10


St12 for De=1

 


St22 for De=10


St22 for De=1

 


St33 for De=10


St33 for De=1

 

Analysis

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.