Stability analysis of gravity driven shear flows with free surface for power-law fluids

Archive of Applied Mechanics

Volumn 68, Issue 3-4, 1998, Pages 169-178

  Berezin, Yu A ^b   Hutter, K ^a   Spodareva, L A ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b KHRISTIANOVICH INSTITUTE OF THEORETICAL AND APPLIED MECHANICS   (Russian Federation)

Author keywords

Linear instability; Power law fluid; Shear flow; Slow rapid flow; Thin film

Indexed keywords

CALCULATIONS; COMPRESSIBLE FLOW; GRAVITATIONAL EFFECTS; STABILITY; THIN FILMS; VISCOUS FLOW;

POWER-LAW FLUIDS;

SHEAR FLOW;

EID: 0032047159     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050154     Document Type: Article

References (14)

1. Dantapat, B. S.; Gupta, A. S.: Instability of a horizontal layer of viscoelastic liquid on an oscillating plane. J. Fluid Mech. 72 (1975) 425-432
2. Dantapat, B. S.; Gupta, A. S.: Long waves on a layer of a visco-elastic fluid down an inclined plane. Rheol. Acta 17 (1978) 492-499
3. Dunn, J. E.: On the free energy and stability of nonlinear fluids. J. Rheology 26 (1982) 43-68
4. Fosdick, R. L; Rajagopal, K.R.: Anomalous features in the model of second order fluids. Arch. Rat. Mech. Anal. 70 (1979) 145-152
5. Fosdick, R. L.; Rajagopal, K. R.: Thermodynamics and stability of fluids of third grade. Proc. R. Soc. London A339 (1980) 351-377
6. Fosdick, R.L.; Straughan, B.: Catastrophic instabilities and related results in a fluid of third grade. Int. J. Non-linear Mech. 16 (1981) 191-198
7. Franchi, F.; Straughan, B.: Stability and nonexistence results in the generalized theory of fluid of second grade. J. Math. Anal Applications 180 (1993), 122-137
8. Giesekus, H.: Phänomenologische Rheologie, eine Einführung. Berlin, Heidelberg, New York: Springer 1994
9. Hutter, K.: Fluid- und Thermodynamik, eine Einführung. Berlin, Heidelberg, New York: Springer 1993
10. Hutter, K.: Time-dependent surface elevation of an ice slope. J. Glaciology 25 (92) (1980) 247-266
11. Peyret, R.; Taylor, T. D.: Computational methods for fluid flow. Berlin, Heidelberg, New York: Springer 1983
12. Savage, S. B.; Hutter, K.: The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199 (1989) 177-215
13. Straughan, B.: The backward in time problem for a fluid of third grade. Ricerche Matematica 36 (1987) 289-293
14. Whitham, G. B.: Linear and non-linear waves. New York: Wiley 1974