Korea-Australia Rheology Journal, Vol.16, No.3, 117-128, September, 2004
Vortex behavior in the inertial flow of viscoelastic fluids past a confined cylinder
E-mail:
The effect of molecular parameters on the steady vortex behaviors in the inertial viscoelastic flow past a cylinder has been investigated. FENE-CR model was considered as a constitutive equation. A recently developed iterative solution method (Kim et al., (in press)) was found to be successfully applicable to the computation of inertial viscoelastic flows, The high-resolution computations were carried out to understand the detailed flow behaviors based on the efficient iterative solution method armed with ILU(O) type preconditioner and BiCGSTAB method. The discrete elastic viscous split stress-G/streamline upwind PetrovGalerkin (DEVSS-G/SUPG) formulation was adopted as a stabilization method. The vortex size decreased as elasticity increases. However, the vortex enhancement was also observed in the case of large extensibility, which means that the vortex behavior is strongly dependent upon the material parameters. The longitudinal gradient of normal stress was found to retard the formation of vortex, whereas the extensional viscosity played a role in the vortex enhancement. The present results are expected to be helpful for understanding the inertial vortex dynamics of viscoelastic fluids in the flow past a confined cylinder.
- Adachi K, Yoshika N, Sakai K, J. Non-Newton. Fluid Mech., 3(2), 107 (1977)
- Alves MA, Pinho FT, Oliveira PJ, J. Non-Newton. Fluid Mech., 97(2-3), 207 (2001)
- Arigo MT, McKinley GH, Rheol. Acta, 37(4), 307 (1998)
- Baloch A, Townsend P, Webster MF, J. Non-Newton. Fluid Mech., 65(2-3), 133 (1996)
- Broadbent JM, Mena B, Chem. Eng. J., 8, 11 (1974)
- Brooks AN, Hughes TJR, Comput. Meth. Appl. Mech. Eng., 32, 199 (1982)
- BUSH MB, J. Non-Newton. Fluid Mech., 55(3), 229 (1994)
- Caola AE, Joo YL, Armstrong RC, Brown RA, J. Non-Newton. Fluid Mech., 100(1-3), 191 (2001)
- Chilcott MD, Rallison JM, J. Non-Newton. Fluid Mech., 29, 381 (1988)
- Christiansen RL, Ind. Eng. Chem. Fundam., 24, 403 (1985)
- Cressman JR, Bailey O, Goldburg WI, Phys. Fluids, 13, 867 (2001)
- Dou HS, Phan-Thien N, Rheol. Acta, 42(5), 383 (2003)
- Dou HS, Phan-Thien N, Rheol. Acta, 43(3), 203 (2004)
- YURAN F, CROCHET MJ, J. Non-Newton. Fluid Mech., 57(2-3), 283 (1995)
- Fan YR, Tanner RI, Phan-Thien N, J. Non-Newton. Fluid Mech., 84(2-3), 233 (1999)
- Harlen OG, J. Non-Newton. Fluid Mech., 108(1-3), 411 (2002)
- Hassager O, Nature, 279, 402 (1979)
- Hu HH, Joseph DD, J. Non-Newton. Fluid Mech., 37, 347 (1990)
- HUANG PY, FENG J, J. Non-Newton. Fluid Mech., 60(2-3), 179 (1995)
- James DF, Acosta AJ, J. Fluid Mech., 60, 179 (1970)
- James DF, Acosta AJ, J. Fluid Mech., 42, 269 (1970)
- Kim JM, Kim C, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., (in press) (2004)
- Kim JM, Kim C, Chung C, Ahn KH, Lee SJ, Comparative studies on the negative wake of FENE-CR fluid in uniform and Poiseuille flows past a cylinder (in preparation)
- Koniuta A, Adler PM, Piau JM, J. Non-Newton. Fluid Mech., 7, 101 (1980)
- Liu AW, Bornside DE, Armstrong RC, Brown RA, J. Non-Newton. Fluid Mech., 77(3), 153 (1998)
- Manero O, Mena B, J. Non-Newton. Fluid Mech., 9, 379 (1981)
- Matallah H, Townsend P, Webster MF, J. Non-Newton. Fluid Mech., 75(2-3), 139 (1998)
- Mckinley GH, Armstrong RC, Brown RA, Phi. Trans. R. Soc. Lond. A, 344, 265 (1993)
- Mena B, Caswell B, J. Chem. Eng., 8, 125 (1974)
- Oliveira PJ, J. Non-Newton. Fluid Mech., 101(1-3), 113 (2001)
- Pilate G, Crochet MJ, J. Non-Newton. Fluid Mech., 2, 323 (1977)
- SATRAPE JV, CROCHET MJ, J. Non-Newton. Fluid Mech., 55(1), 91 (1994)
- Smith MD, Armstrong RC, Brown RA, Sureshkumar R, J. Non-Newton. Fluid Mech., 93(2-3), 203 (2000)
- Sun J, Smith MD, Armstrong RC, Brown RA, J. Non-Newton. Fluid Mech., 86(3), 281 (1999)
- Townsend P, J. Non-Newton. Fluid Mech., 6, 219 (1980)
- Ultmann JS, Denn MM, J. Chem. Eng., 2, 81 (1971)
- van der Vorst HA, SIAM J. Sci. Stat. Comp., Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems, 12, 631 (1992)
- Wapperom P, Webster MF, Comput. Meth. Appl. Mech. Eng., 180, 281 (1999)