The self-similar laminar boundary layer of power law non-Newtonian fluids

Many fluids of practical interest are non-Newtonian, which influences many aspects of their behaviour, particularly the structure and properties of the laminar boundary layer, that differs qualitatively and quantitatively from the classical solution of Prandtl. We study this problem for a power law...

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Publicado: 2001
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi
http://hdl.handle.net/20.500.12110/paper_03693554_v116_n4_p393_Filipussi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03693554_v116_n4_p393_Filipussi
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spelling paper:paper_03693554_v116_n4_p393_Filipussi2023-06-08T15:36:18Z The self-similar laminar boundary layer of power law non-Newtonian fluids Many fluids of practical interest are non-Newtonian, which influences many aspects of their behaviour, particularly the structure and properties of the laminar boundary layer, that differs qualitatively and quantitatively from the classical solution of Prandtl. We study this problem for a power law rheology, that describes with fair accuracy the behaviour of many fluids in an important range of shear. Since this type of rheology depends on a single-dimensional parameter, the solution of the problem is self-similar and can be obtained by a generalization of the usual procedure for the case of Newtonian fluids. A phase-plane formalism is introduced and the solutions are obtained as a function of the rheological index. It is found that the boundary layer of a dilatant fluid is spatially localized, i.e. it ends abruptly at a finite distance from the wall; this is a consequence of the non-linear character of the vorticity diffusion of a non-Newtonian fluid. A very good analytical approximation is obtained for dilatant fluids. © Società Italiana di Fisica. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi http://hdl.handle.net/20.500.12110/paper_03693554_v116_n4_p393_Filipussi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Many fluids of practical interest are non-Newtonian, which influences many aspects of their behaviour, particularly the structure and properties of the laminar boundary layer, that differs qualitatively and quantitatively from the classical solution of Prandtl. We study this problem for a power law rheology, that describes with fair accuracy the behaviour of many fluids in an important range of shear. Since this type of rheology depends on a single-dimensional parameter, the solution of the problem is self-similar and can be obtained by a generalization of the usual procedure for the case of Newtonian fluids. A phase-plane formalism is introduced and the solutions are obtained as a function of the rheological index. It is found that the boundary layer of a dilatant fluid is spatially localized, i.e. it ends abruptly at a finite distance from the wall; this is a consequence of the non-linear character of the vorticity diffusion of a non-Newtonian fluid. A very good analytical approximation is obtained for dilatant fluids. © Società Italiana di Fisica.
title The self-similar laminar boundary layer of power law non-Newtonian fluids
spellingShingle The self-similar laminar boundary layer of power law non-Newtonian fluids
title_short The self-similar laminar boundary layer of power law non-Newtonian fluids
title_full The self-similar laminar boundary layer of power law non-Newtonian fluids
title_fullStr The self-similar laminar boundary layer of power law non-Newtonian fluids
title_full_unstemmed The self-similar laminar boundary layer of power law non-Newtonian fluids
title_sort self-similar laminar boundary layer of power law non-newtonian fluids
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi
http://hdl.handle.net/20.500.12110/paper_03693554_v116_n4_p393_Filipussi
_version_ 1768544475279261696

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