An experimental/theoretical investigation of interfacial instabilities in superposed pressure-driven channel flow of Newtonian and well characterized viscoelastic fluids Part I: Linear stability and encapsulation effects

Journal of Non-Newtonian Fluid Mechanics

Volumn 91, Issue 1, 2000, Pages 59-84

  Khomami, Bamin ^a   Su, Kuan C ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Encapsulation effects; Interfacial instability; Linear stability; Viscoelastic fluids

Indexed keywords

ASYMPTOTIC STABILITY; CHANNEL FLOW; INTERFACES (MATERIALS); VISCOELASTICITY;

ENCAPSULATION EFFECTS; INTERFACIAL INSTABILITIES; POISEUILLE FLOW;

NON NEWTONIAN FLOW;

CHANNEL FLOW; INSTABILITY; NEWTONIAN FLUID; VISCOELASTIC FLOW;

EID: 0034127941     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00086-5     Document Type: Article

References (31)

1. Yin C.S. Instability due to viscosity stratification. J. Fluid Mech. 27:1967;337.
2. Yiantsios S.G., Higgins B.G. Linear stability of plane Poiseuille flow of two superposed fluids. Phys. Fluids. 31:1988;3225.
3. Su Y.Y., Khomami B. Numerical solution of eigenvalue problems using spectral techniques. J. Comp. Phys. 100(2):1992;297.
4. Su Y.Y., Khomami B. Stability of multilayer power law. Chem. Eng. Comm. 109:1991;209.
5. Su Y.Y., Khomami B. Interfacial stability of multilayer viscoelastic fluids in slit. J. Rheol. 36:1992;357.
6. Renardy Y. Stability of the interface in two-layer Couette flow of upper convected Maxwell liquids. J. Non-Newtonian Fluid Mech. 28:1988;99.
7. Chen K.P. Elastic instabilities of the interface in couette flow of viscoelastic liquids. J. Non-Newtonian Fluid Mech. 40:1991;261.
8. Su Y.Y., Khomami B. Purely elastic interfacial instabilities in superposed flow of polymeric fluids. Rheol. Acta. 31:1992;413.
9. H.S. Yu, E.M. Sparrow, Experiments on two-component stratified flow in a horizontal duet, J. Heat Transfer 51 (1969).
10. Kao T.W., Park C. Experimental investigation of the stability of channel flows: part II layered co-current flow in a rectangular channel. J. Fluid Mech. 52:1972;401.
11. Wilson G.M., Khomami B. An experimental investigation of interfacial instabilities in the multilayer flow of viscoelastic fluids: Part I incompatible polymer systems. J. Non-Newtonian Fluid Mech. 41:1992;355.
12. Wilson G.M., Khomami B. An experimental investigation of interfacial instabilities in the multilayer flow of viscoelastic fluids: Part II elastic and nonlinear effects in incompatible polymer systems. J. Rheol. 37:1993;315.
13. Wilson G.M., Khomami B. An experimental investigation of interfacial instabilities in the multilayer flow of viscoelastic fluids: Part III compatible polymer systems. J. Rheol. 37:1993;341.
14. Khomami B., Wilson G.M. An experimental investigation of interfacial instabilities in the superposed flow of viscoelastic fluids in converging/diverging channel geometries. J. Non-Newtonian Fluid Mech. 58:1995;47.
15. Ganpule H.K., Khomami B. An investigation of interfacial instabilities in the superposed channel flow of viscoelastic fluids. J. Non-Newtonian Fluid Mech. 81:1999;27.
16. Ganpule H.K., Khomami B. The effect of transient viscoelastic properties of interfacial instabilities in superposed pressure-driven channel flows. J. Non-Newtonian Fluid Mech. 80:1999;217.
17. Khomami B., Ranjbaran M.M. Experimental studies of interfacial instabilities in multilayer pressure-driven flow of polymeric melts. Rheol. Acta. 36:1997;345.
18. Hinch E.J., Harris O.J., Rallison J.M. The instability mechanism for tow elastic liquids being co-extruded. J. Non-Newtonian Fluid Mech. 43:1992;311.
19. Lee B., White J.L. An experimental study of rheological properties of polymer melts in laminar shear flow. Trans. Soc. Rheol. 18:1974;467.
20. Han C.D. Studies on multilayer film extrusion. Polym. Eng. Sci. 18:1978;180.
21. C.D. Han, Y.J. Kim, H.B. Chin, Rheological investigation of interfacial instabilities in two-layer flat film coextrusion, Polym. Eng. Review 178 (1984).
22. Joseph D.D., Nguyen K., Beaves G.S. Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities. J. Fluid Mech. 141:1984;319.
23. Karagiannis A., Hrymak A.N., Vlachopoulos J. Three-dimensional studies on biomponent extrusion. Rheol. Acta. 29:1990;719.
24. K.C. Su, Experimental studies of interfacial instability in superposed flow of well-characterized polymeric solutions, D.Sc. Thesis, Department of Chemical Engineering, Washington University, St. Louis, MO, 1997.
25. Nguyen D.A., Sridhar T. Preparation. J. Non-Newtonian Fluid Mech. 35:1990;93.
26. Solomon M.J., Muller S.J. Flow past a sphere in a polystyrene-based boger fluid: the effect on the drag coefficient of finite extensibility, solvent quality and polymer molecular weight. J. Non-Newtonian Fluid Mech. 62:1996;81.
27. Tagg R., Edwards W.S., Swinney H.L. Convective versus absolute instability in flow between counter rotating cylinders. Phys. Rev. A. 42:1990;831.
28. P. Huerre, in: E. Tirapegne, D. Villards (Eds.), Instabilities and Nonequilibrium Structures, vol. 141, D. Reitel, 1987.
29. Huerre P., Monkewitz P.A. Local and global instabilities in spatially developing flows. Ann. Rev. Fluid Mech. 22:1990;473.
30. Gaster M.J. A note on the relation between temporally increasing and spatially increasing disturbances in hydrodynamic stability. J. Fluid Mech. 14:1962;222.
31. Magda J.J., Lee C.S., Muller S.J., Larson R.G. Rheology, flow instabilities, and shear induced diffusion in polystyrene solutions. Macromolecules. 26:1993;1606.