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...

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Detalles Bibliográficos
Autores principales:	Perazzo, C.A., Gratton, J.
Formato:	JOUR
Materias:	Gravity currents Power-law liquid Traveling waves Approximation theory Flow of fluids Lubrication Rheology Thin films Thin liquid films Traveling flows Traveling unslope Fluid mechanics flow modeling flow over surface lubrication non-Newtonian flow
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_03770257_v118_n1_p57_Perazzo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_03770257_v118_n1_p57_Perazzo
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spelling	todo:paper_03770257_v118_n1_p57_Perazzo2023-10-03T15:31:18Z Steady and traveling flows of a power-law liquid over an incline Perazzo, C.A. Gratton, J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Perazzo, C.A. Gratton, J. 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.
format	JOUR
author	Perazzo, C.A. Gratton, J.
author_facet	Perazzo, C.A. Gratton, J.
author_sort	Perazzo, C.A.
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
url	http://hdl.handle.net/20.500.12110/paper_03770257_v118_n1_p57_Perazzo
work_keys_str_mv	AT perazzoca steadyandtravelingflowsofapowerlawliquidoveranincline AT grattonj steadyandtravelingflowsofapowerlawliquidoveranincline
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Steady and traveling flows of a power-law liquid over an incline

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