Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The slow flow of thin liquid films on solid surfaces is an important phenomenon in nature and in industrial processes, and an intensive effort has been made to investigate it. So far research has been focused mainly on Newtonian fluids, notwithstanding that often in the real situations as well as in the experiments, the rheology of the involved liquid is non-Newtonian. In this paper we investigate within the lubrication approximation the family of traveling wave solutions describing the flow of a power-law liquid on an incline. We derive general formulae for the traveling waves, that can be of several kinds according to the value of the propagation velocity c and of an integration constant j0 related to the difference between c and the averaged velocity of the fluid u. There are exactly 17 different kinds of solutions. Five of them are the steady solutions (c=0). In addition there are eight solutions that correspond to different downslope traveling waves, and four that describe waves traveling upslope. © 2004 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Steady and traveling flows of a power-law liquid over an incline
Autor:Perazzo, C.A.; Gratton, J.
Filiación:Universidad Favaloro, Buenos Aires 1078, Argentina
INFIP Instituto de Fisica del Plasma, Facultad Ciencias Exactas Naturales, Universidad de Buenos Aires, Buenos Aires 1428, Argentina
Palabras clave:Gravity currents; Power-law liquid; Traveling waves; Approximation theory; Flow of fluids; Lubrication; Rheology; Thin films; Thin liquid films; Traveling flows; Traveling unslope; Traveling waves; Fluid mechanics; flow modeling; flow over surface; lubrication; non-Newtonian flow
Año:2004
Volumen:118
Número:1
Página de inicio:57
Página de fin:64
DOI: http://dx.doi.org/10.1016/j.jnnfm.2004.02.003
Título revista:Journal of Non-Newtonian Fluid Mechanics
Título revista abreviado:J. Non-Newton. Fluid Mech.
ISSN:03770257
CODEN:JNFMD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770257_v118_n1_p57_Perazzo

Referencias:

  • Mei, C.C., Nonlinear gravity waves in a thin sheet of viscous fluid (1966) J. Math. Phys., 45, pp. 266-288
  • Buckmaster, J., Viscous sheets advancing over dry beds (1977) J. Fluid Mech., 81, pp. 735-756
  • Huppert, H.E., The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface (1982) J. Fluid Mech., 121, pp. 43-58
  • Gratton, J., Minotti, F., Self-similar viscous gravity currents: Phase-plane formalism (1990) J. Fluid Mech., 210, pp. 155-182
  • Diez, J.A., Gratton, R., Gratton, J., Self-similar solution of the second kind for a convergent viscous gravity current (1992) Phys. Fluids A, 4, pp. 1148-1155
  • Marino, B.M., Thomas, L.P., Gratton, R., Diez, J.A., Betelú, S., Gratton, J., Waiting-time solutions of a nonlinear diffusion equation: Experimental study of a creeping flow near a waiting front (1996) Phys. Rev. E, 54, pp. 2628-2636
  • Berezin, Yu.A., Hutter, K., Spodareva, L.A., Stability analysis of gravity driven shear flows with free surface for power-law fluids (1998) Arch. Appl. Mech., 68, pp. 169-178
  • Gratton, J., Minotti, F., Mahajan, S.M., Theory of creeping gravity currents of a non-Newtonian liquid (1999) Phys. Rev. E, 60, pp. 6960-6967
  • Berezin, Yu.A., Chugunov, V.A., Hutter, K., Hydraulic jumps on shallow layers of non-Newtonian fluids (2001) J. Non-Newtonian Fluid Mech., 101, pp. 139-148
  • Wilson, S.K., Duffy, B.R., Hunt, R., Slender rivulet of a power-law fluid driven by either gravity or a constant shear stress at the free surface (2002) Q. J. Mech. Appl. Math., 553, pp. 385-408
  • Perazzo, C.A., Gratton, J., Thin film of non-Newtonian fluid on an incline (2003) Phys. Rev. E, 67, p. 16307
  • Liu, K.F., Mei, C.C., Slow spreading of a sheet of Bingham fluid on an inclined plane (1989) J. Fluid Mech., 207, pp. 505-529
  • Balmforth, N.J., Craster, R.V., A consistent thin-layer theory for Bingham plastics (1999) J. Non-Newtonian Fluid Mech., 84, pp. 65-81
  • Balmforth, N.J., Craster, R.V., Sassi, R., Shallow viscoplastic flow on an inclined plane (2002) J. Fluid Mech., 470, pp. 1-29
  • Ng, C.-O., Mei, C.C., Roll waves on a shallow layer of mud modelled as a power-law fluid (1994) J. Fluid Mech., 263, pp. 151-183
  • Liu, K., Mei, C.C., Roll waves on a layer of a muddy fluid flowing down a gentle slope-a Bingham model (1994) Phys. Fluids, 6, pp. 2577-2590
  • Huang, X., Garća, M.H., Herschel-Bulkley model for mud flow down a slope (1998) J. Fluid Mech., 374, pp. 305-333
  • Coussot, P., (1997) Mudflow Rheology and Dynamics, IAHR Monograph Series, , A.A. Balkema Publishers, Lisse, The Netherlands, Chapter 9
  • Hutter, K., (1983) Theoretical Glaciology, , D. Reidel, Dordrecht
  • Byrd, R.B., Useful non-Newtonian models (1976) Ann. Rev. Fluid Mech., 8, pp. 13-34
  • Bateman, H., (1953) Higher Transcendental Functions, 1. , McGraw-Hill, New York
  • Whitham, G.B., (1974) Linear and Nonlinear Waves, , Wiley/Interscience, New York

Citas:

---------- APA ----------
Perazzo, C.A. & Gratton, J. (2004) . Steady and traveling flows of a power-law liquid over an incline. Journal of Non-Newtonian Fluid Mechanics, 118(1), 57-64.
http://dx.doi.org/10.1016/j.jnnfm.2004.02.003
---------- CHICAGO ----------
Perazzo, C.A., Gratton, J. "Steady and traveling flows of a power-law liquid over an incline" . Journal of Non-Newtonian Fluid Mechanics 118, no. 1 (2004) : 57-64.
http://dx.doi.org/10.1016/j.jnnfm.2004.02.003
---------- MLA ----------
Perazzo, C.A., Gratton, J. "Steady and traveling flows of a power-law liquid over an incline" . Journal of Non-Newtonian Fluid Mechanics, vol. 118, no. 1, 2004, pp. 57-64.
http://dx.doi.org/10.1016/j.jnnfm.2004.02.003
---------- VANCOUVER ----------
Perazzo, C.A., Gratton, J. Steady and traveling flows of a power-law liquid over an incline. J. Non-Newton. Fluid Mech. 2004;118(1):57-64.
http://dx.doi.org/10.1016/j.jnnfm.2004.02.003