Steady and traveling flows of a power-law liquid over an incline
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...
Guardado en:
| Publicado: |
2004
|
|---|---|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770257_v118_n1_p57_Perazzo http://hdl.handle.net/20.500.12110/paper_03770257_v118_n1_p57_Perazzo |
| Aporte de: |
| id |
paper:paper_03770257_v118_n1_p57_Perazzo |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_03770257_v118_n1_p57_Perazzo2023-06-08T15:38:49Z Steady and traveling flows of a power-law liquid over an incline 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 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770257_v118_n1_p57_Perazzo http://hdl.handle.net/20.500.12110/paper_03770257_v118_n1_p57_Perazzo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Steady and traveling flows of a power-law liquid over an incline |
| topic_facet |
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 |
| description |
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. |
| title |
Steady and traveling flows of a power-law liquid over an incline |
| title_short |
Steady and traveling flows of a power-law liquid over an incline |
| title_full |
Steady and traveling flows of a power-law liquid over an incline |
| title_fullStr |
Steady and traveling flows of a power-law liquid over an incline |
| title_full_unstemmed |
Steady and traveling flows of a power-law liquid over an incline |
| title_sort |
steady and traveling flows of a power-law liquid over an incline |
| publishDate |
2004 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770257_v118_n1_p57_Perazzo http://hdl.handle.net/20.500.12110/paper_03770257_v118_n1_p57_Perazzo |
| _version_ |
1768542039435116544 |