Laminar axisymmetric flow of a weakly compressible viscoelastic fluid

Rheologica Acta

Volumn 51, Issue 6, 2012, Pages 511-526

  Housiadas, Kostas D ^a   Georgiou, Georgios C ^b   Mamoutos, Ioannis G ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

Compressibility; Flow curve; Oldroyd B fluid; Pipe flow; Pressure drop; Two dimensional flow

Indexed keywords

EID: 84861646564     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-011-0610-x     Document Type: Article

References (30)

1. Belblidia F, Keshtiban IJ, Webster MF (2006) Stabilized computations for viscoelastic flows under compressible considerations. J Non-Newton Fluid Mech 134: 56-76.
2. Georgiou GC, Crochet MJ (1994a) Compressible viscous flow in slits with slip at the wall. J Rheol 38: 639-654.
3. Georgiou GC, Crochet MJ (1994b) Time-dependent compressible extrudate-swell problem with slip at the wall. J Rheol 38: 1745-1755.
4. Guillopé C, Hakim A, Talhouk R (2005) Existence of steady flows of slightly compressible viscoelastic fluids of White-Metzner type around an obstacle. Commun Pure Appl Anal 4: 23-43.
5. Guo ZY, Wu XB (1997) Compressibility effect on the gas flow and heat transfer in a microtube. Int J Heat Mass Transfer 40: 3251-3254.
6. Guo ZY, Wu XB (1998) Further study on compressibility effects on the gas flow and heat transfer in a microtube. Microscale Thermophys Eng 2: 111-120.
7. Harley C, Huang YH, Bau H, Zemel JN (1995) Gas flow in microchannels. J Fluid Mech 284: 257-274.
8. Hatzikiriakos SG, Dealy JM (1992) Role of slip and fracture in the oscillating flow of HDPE in a capillary. J Rheol 36: 845-884.
9. Hatzikiriakos SG, Dealy JM (1994) Start-up pressure gradients in a capillary rheometer. Polym Eng Sci 34: 493-499.
10. Housiadas KD, Georgiou GC (2011) Perturbation solution of a weakly compressible Oldroyd-B fluid. J Non-Newton Fluid Mech 166: 73-92.
11. Keshtiban IJ, Belblidia F, Webster MF (2004) Numerical simulation of compressible viscoelastic liquids. J Non-Newton Fluid Mech 122: 131-146.
12. Keshtiban IJ, Belblidia F, Webster MF (2005) Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes. J Non-Newton Fluid Mech 126: 123-143.
13. Mamoutos IG (2010) Analytical solution for the laminar flow of a weakly compressible fluid in a tube using perturbation methods. M. Sc. Thesis, Department of Mathematics, University of the Aegean, Samos, Greece.
14. Mitsoulis E, Hatzikiriakos SG (2009) Steady flow simulations of compressible PTFE paste extrusion under severe wall slip. J Non-Newton Fluid Mech 157: 26-33.
15. Poinsot T, Lele S (1992) Boundary conditions for direct simulations of compressible viscous flows. J Comput Phys 101: 104-129.
16. Prud'homme RK, Chapman TW, Bowen JR (1986) Laminar compressible flow in a tube. Appl Sci Res 43: 67-74.
17. Ranganathan M, Mackley MR, Spitteler PHJ (1999) The application of the multipass rheometer to time-dependent capillary flow measurements of a polyethylene melt. J Rheol 43: 443-451.
18. Schwartz LW (1987) A perturbation solution for compressible viscous channel flows. J Eng Math 21: 69-86.
19. Shapiro AH (1953) The dynamics and the thermodynamics of compressible fluid flow, vol I. The Roland Press Co., New York.
20. Taliadorou E, Georgiou GC, Alexandrou AN (2007) A two-dimensional numerical study of the stick-slip extrusion instability. J Non-Newton Fluid Mech 146: 30-44.
21. Taliadorou E, Georgiou GC, Mitsoulis E (2008) Numerical simulation of the extrusion of strongly compressible Newtonian liquids. Rheol Acta 47: 49-62.
22. Taliadorou EG, Neophytou M, Georgiou GC (2009a) Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids. J Non-Newton Fluid Mech 163: 25-34.
23. Taliadorou E, Georgiou GC, Moulitsas I (2009b) Weakly compressible Poiseuille flows of a Herschel-Bulkley fluid. J Non-Newton Fluid Mech 158: 162-169.
24. Valette R, Mackley MR, Hernandez Fernandez del Castillo G (2006) Matching time dependent pressure driven flows with a Rolie Poly numerical simulation. J Non-Newton Fluid Mech 136: 118-125.
25. van den Berg HR, Seldam CA, van der Gulik PS (1993) Compressible laminar flow in a capillary. J Fluid Mech 246: 1-20.
26. Venerus DC (2006) Laminar capillary flow of compressible viscous fluids. J Fluid Mech 555: 59-80.
27. Venerus DC, Bugajsky DJ (2010) Compressible laminar flow in a channel. Phys Fluids 22: 046101.
28. Vinay G, Wachs A, Frigaard I (2006) Numerical simulation of weakly compressible Bingham flows: the restart of pipeline flows of waxy crude oils. J Non-Newton Fluid Mech 136: 93-105.
29. Webster MF, Keshtiban IJ, Belblidia F (2004) Computation of weakly compressible highly-viscous liquid flows. Eng Comput 21: 777-804.
30. Zohar Y, Lee SYK, Lee WY, Jiang L, Tong P (2002) Subsonic gas flow in a straight and uniform microchannel. J Fluid Mech 472: 125-151.