Landau-Levich problem for non-Newtonian liquids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 3, 2007, Pages

  Afanasiev, Konstantin ^a   Münch, Andreas ^a,b   Wagner, Barbara ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE MEASUREMENT; MATHEMATICAL MODELS; PROBLEM SOLVING; RHEOLOGY; SHEAR VISCOSITY;

DRAG-OUT PROBLEMS; LANDAU-LEVICH PROBLEM; STEADY STATE SOLUTIONS;

NON NEWTONIAN LIQUIDS;

EID: 34548838061     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.036307     Document Type: Article

References (22)

1. L. Landau and B. Levich, Acta Physicochim. URSS ACPYAR 0365-1460 17, 42 (1942).
2. S. D. R. Wilson, J. Eng. Math. JLEMAU 0022-0833 10.1007/BF00042717 16, 209 (1982).
3. A. Münch, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/ S0036139900382693 62, 2045 (2002).
4. L. W. Schwartz, J. Eng. Math. JLEMAU 0022-0833 10.1023/A:1004855022321 39, 171 (2001).
5. M. S. Christodoulou, J. T. Turner, and S. D. R. Wilson, J. Fluids Eng. 112, 476 (1990). 0098-2202
6. K. Afanasiev, A. Münch, and B. Wagner, Appl. Math. Model. (to be published).
7. R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Fluids (Wiley, New York, 1977), Vol. I.
8. S. Matsuhisa and R. B. Bird, AIChE J. AICEAC 0001-1541 10.1002/aic.690110407 11, 588 (1965).
9. A. Acrivos, M. J. Shan, and E. E. Petersen, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1735785 31, 963 (1960).
10. V. I. Baikov, Z. P. Shul'man, and K. Engel'gardt, Zh. Prikl. Mekh. Tekh. Fiz. 4, 53 (1985).
11. J. A. Britten and I. M. Thomas, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.351323 71, 972 (1992).
12. S. Fomin, J. Watterson, S. Raghunathan, and E. Harkin-Jones, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1494074 14, 3350 (2002).
13. C. J. Lawrence, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866986 31, 2786 (1988).
14. C. J. Lawrence and W. Zhou, J. Non-Newt. Fluid Mech. 39, 137 (1991). 0377-0257
15. S. V. Nitta, A. Jain, P. C. Wayner, Jr., W. N. Gill, and J. L. Plawsky, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.371605 86, 5870 (1999).
16. D. E. Weidner and L. W. Schwartz, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868412 6, 3535 (1994).
17. T. G. Myers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.066302 72, 066302 (2005).
18. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
19. A. Münch and P. L. Evans, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.06.025 209, 164 (2005).
20. A. C. Hindmarsh and K. Radhakrishnan, Lawrence Livermore National Laboratory Report No. UCRL-ID-113855, 1993 (unpublished).
21. A. L. Bertozzi, A. Münch, and M. Shearer, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00134-7 134: 431 (1999).
22. F. P. Bretherton, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112061000160 10, 166 (1961).