Artículo
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | The self-similar laminar boundary layer of power law non-Newtonian fluids |
| Autor: | Filipussi, D.; Gratton, J.; Minotti, F. |
| Filiación: | Instituto de Física del Plasma (INFIP-La) - CONICET, Departamento de Física, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 2001 |
| Volumen: | 116 |
| Número: | 4 |
| Página de inicio: | 393 |
| Página de fin: | 402 |
| Título revista: | Nuovo Cimento della Societa Italiana di Fisica B |
| Título revista abreviado: | Nuovo Cimento Soc. Ital. Fis. B |
| ISSN: | 03693554 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi |
Referencias:
- Jones, J.R., Angew, Z., (1961) Math. Phys., 12, p. 328
- Hansen, A.G., Na, T.Y., (1968) Trans. Am. Soc. Mech. Engin. D, 90, p. 71
- Timol, M.G., Kalthia, N.L., (1986) Int. J. Non-Linear Mech., 21, p. 475
- Rajagopal, A.R., Gupta, A.S., Wineman, A.S., (1980) Int. J. Eng. Sci., 18, p. 947
- Chang, T.-C., (1962) Acta Phys. Sinica, 16, p. 224
- Messiha, S.A.S., (1974) Nuovo Cimento B, 21, p. 271
- Pavlov, K.V., Fedotov, I.A., Shakhorin, A.P., (1981) Fluid Dyn. (USA), 16, p. 605
- Barnes, H.A., Hutton, J.F., Walters, K., (1989) An Introduction to Rheology, p. 19. , Elsevier, Amsterdam
- Sedov, L.I., (1959) Similarity and Dimensional. Methods in Mechanics, p. 177. , edited by M. HOLT (Academic Press, New York)
- Prandtl, L., (1905) Verhanlungen des III Internationalen Mathematiker-Kongresses Heilderberg 1904, p. 484. , Leipzig
Citas:
---------- APA ----------
Filipussi, D., Gratton, J. & Minotti, F. (2001) . The self-similar laminar boundary layer of power law non-Newtonian fluids. Nuovo Cimento della Societa Italiana di Fisica B, 116(4), 393-402.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi [ ]
---------- CHICAGO ----------
Filipussi, D., Gratton, J., Minotti, F. "The self-similar laminar boundary layer of power law non-Newtonian fluids" . Nuovo Cimento della Societa Italiana di Fisica B 116, no. 4 (2001) : 393-402.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi [ ]
---------- MLA ----------
Filipussi, D., Gratton, J., Minotti, F. "The self-similar laminar boundary layer of power law non-Newtonian fluids" . Nuovo Cimento della Societa Italiana di Fisica B, vol. 116, no. 4, 2001, pp. 393-402.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi [ ]
---------- VANCOUVER ----------
Filipussi, D., Gratton, J., Minotti, F. The self-similar laminar boundary layer of power law non-Newtonian fluids. Nuovo Cimento Soc. Ital. Fis. B. 2001;116(4):393-402.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03693554_v116_n4_p393_Filipussi [ ]
