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Abstract:

Using the lubrication approximation we investigate the self-similar axisymmetric flow of a power-law liquid towards a central circular cavity. It is shown that this problem has a self-similar solution of the second kind. The self-similarity exponent is found by solving a non-linear eigenvalue problem arising from the requirement that the integral curve that represents the solution must join the appropriate singular points in the phase plane of the governing equation. The eigenvalues for different values of the rheological index are computed. Numerical integration of the equations allows us to determine the shape of the solution in terms of the physical variables. We make a detailed analysis of the influence of the rheology on the properties of the solutions. © 2009 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Self-similar collapse of a circular cavity of a power-law liquid
Autor:Gratton, J.; Perazzo, C.A.
Filiación:INFIP-CONICET, Dto. de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
Dto. de Física y Química, Universidad Favaloro, Solís 453, 1078 Buenos Aires, Argentina
Palabras clave:Gravity currents; Power-law liquid; Self-similarity; Axisymmetric flow; Circular cavity; Eigenvalues; Governing equations; Gravity currents; Integral curves; Lubrication approximations; Nonlinear eigenvalue problem; Numerical integrations; Phase plane; Physical variables; Power-law liquids; Rheological indices; Self-similar; Self-similar solution; Self-similarities; Singular points; Eigenvalues and eigenfunctions; Gravitation; Gravity waves; Numerical methods; Rheology; Liquids
Año:2010
Volumen:165
Número:3-4
Página de inicio:158
Página de fin:162
DOI: http://dx.doi.org/10.1016/j.jnnfm.2009.10.008
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_v165_n3-4_p158_Gratton

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Citas:

---------- APA ----------
Gratton, J. & Perazzo, C.A. (2010) . Self-similar collapse of a circular cavity of a power-law liquid. Journal of Non-Newtonian Fluid Mechanics, 165(3-4), 158-162.
http://dx.doi.org/10.1016/j.jnnfm.2009.10.008
---------- CHICAGO ----------
Gratton, J., Perazzo, C.A. "Self-similar collapse of a circular cavity of a power-law liquid" . Journal of Non-Newtonian Fluid Mechanics 165, no. 3-4 (2010) : 158-162.
http://dx.doi.org/10.1016/j.jnnfm.2009.10.008
---------- MLA ----------
Gratton, J., Perazzo, C.A. "Self-similar collapse of a circular cavity of a power-law liquid" . Journal of Non-Newtonian Fluid Mechanics, vol. 165, no. 3-4, 2010, pp. 158-162.
http://dx.doi.org/10.1016/j.jnnfm.2009.10.008
---------- VANCOUVER ----------
Gratton, J., Perazzo, C.A. Self-similar collapse of a circular cavity of a power-law liquid. J. Non-Newton. Fluid Mech. 2010;165(3-4):158-162.
http://dx.doi.org/10.1016/j.jnnfm.2009.10.008