Flow of a viscoelastic fluid between two rotating circular cylinders subject to suction or injection

International Journal for Numerical Methods in Fluids

Volumn 24, Issue 3, 1997, Pages 337-349

  Pontrelli, G ^a   Bhatnagar, R K ^b  

^a CNR   (Italy)

^b University of Pittsburgh   (United States)

Author keywords

Boundary layer; Collocation; Non Newtonian; Oldroyd B; Spline

Indexed keywords

BOUNDARY LAYERS; CYLINDERS (CONTAINERS); DRAG; EQUATIONS OF MOTION; NON NEWTONIAN FLOW; NONLINEAR EQUATIONS; NUMERICAL METHODS; POROUS MATERIALS; SHEAR STRESS; VELOCITY; VISCOELASTICITY;

CONSTITUTIVE EQUATIONS; OLDROYD B FLUID; ORDINARY DIFFERENTIAL EQUATIONS; STEADY FLOW;

LAMINAR FLOW;

BODIES-CYLINDERS; MODELLING-MATHEMATICAL; NON NEWTONIAN FLOW; VISCOELASTIC FLUIDS;

EID: 0031080416     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19970215)24:3<337::AID-FLD497>3.0.CO;2-F     Document Type: Article

References (22)

1. M. Couette, 'Étude sur le frottment des liquides', Ann. Chim. Phys., 21, (1890).
2. G. I. Taylor, 'Stability of a viscous liquid contained between two rotating cylinders', Philos. Trans. R. Soc. Lond. A, 223, (1923).
3. P. Chossat and G. Iooss, The Couette-Taylor Problem, Springer-Verlag (1994).
4. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, 1967.
5. H. Schlichting, Boundary-Layer Theory, McGraw-Hill, New York, 1968.
6. J. G. Oldroyd, 'On the formulation of rheological equations of state', Proc. R. Soc. A, 200, 523-541, (1950).
7. J. G. Oldroyd, 'The motion of an elastico-viscous liquid contained between coaxial cylinders. I', Q. J. Mech. Appl. Math., 4, 271-282, (1951).
8. R. B. Bird, R. C. Armstrong and O. Hassager, Dynamics of Polymeric liquids, Vol. 1, Fluid Mechanics, Wiley, New York, 1987.
9. Y. Fukumoto, 'General unsteady circulatory flow outside a porous circular cylinder with suction or injection', J. Phys. Soc. Jpn., 59, 918-926, (1990).
10. J. E. Daskalakis, 'Mixed free and forced convection in the incompressible boundary layer along a rotating vertical cylinder with fluid injection', Int. J. Energy Res., 17, 689-695, (1993).
11. M. J. Casarella and P. A. Laura, 'Drag on an oscillating rod with longitudinal and torsional motion', J. Hydronaut., 3, 180-183, (1969).
12. F. U. Unikeev, 'Plastic behavior of superplastic material moving between two coaxial rotating cylinders', Int. J. Mech. Sci., 35, 81-88, (1993).
13. N. Prasanth and U. Y. Shenoy, 'Poiseuille flow of a power-law fluid between coaxial cylinders', J. Appl. Polym. Sci., 46, 1189-1194, (1992).
14. K. R. Rajagopal, 'Longitudinal and torsional oscillations of a rod in a non-newtonian fluid', Acta Mech., 49, 281-285, (1983).
15. K. R. Rajagopal and P. N. Kaloni, 'Some remarks on boundary conditions for flows of fluids of the differential type', Continuum Mechanics and Its Applications, Hemisphere, Washington, DC, 1989.
16. G. Hamel, 'Spiralförmige Bewegungen zäher Flüssigkeiten', Jber. Dtsch. MatVer., 25, 34-60, (1917).
17. J. H. Preston, 'The steady circulatory flow about a circular cylinder with uniformly distributed suction at the surface', Aeronaut. Q., 1, 319-338, (1950).
18. B. Thwaites, 'Note on the circulatory flow about a circular cylinder through which the normal velocity is large', Q. J. Mech., 3, 74-79, (1950).
19. C. E. Roberts Jr., Ordinary Differential Equations: a Computational Approach, Prentice-Hall, Englewood Cliffs, NJ, 1979.
20. C. de Boor, A Practical Guide to Splines, Springer-Verlag, 1978.
21. C. de Boor and B. Swartz, 'Collocation at Gaussian points', SIAM J. Numer. Anal., 10, 582-606 (1973).
22. W. C. Rheinboldt, Numerical Analysis of Parametrized Nonlinear Equations, Wiley, New York, 1986.