Navier-Stokes solutions for parallel flow in rivulets on an inclined plane
We investigate the solutions of the Navier-Stokes equations that describe the steady flow of rivulets down an inclined surface. We find that the shape of the free surface is given by an analytic formula obtained by solving the equation that expresses the condition of static equilibrium under the act...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
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2004
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 06012caa a22006737a 4500 | ||
|---|---|---|---|
| 001 | PAPER-21245 | ||
| 003 | AR-BaUEN | ||
| 005 | 20241015103405.0 | ||
| 008 | 190411s2004 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-2542639332 | |
| 030 | |a JFLSA | ||
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Perazzo, Carlos Alberto | |
| 245 | 1 | 0 | |a Navier-Stokes solutions for parallel flow in rivulets on an inclined plane |
| 260 | |c 2004 | ||
| 270 | 1 | 0 | |m Perazzo, C.A.; Universidad Favaloro, Solís 453, Buenos Aires 1078, Argentina |
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| 504 | |a Huppert, H.E., The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface (1982) J. Fluid Mech., 121, pp. 43-58 | ||
| 504 | |a Huppert, H.E., Flow and instability of a viscous current down a slope (1982) Nature, 300, pp. 427-429 | ||
| 504 | |a Kondic, L., Diez, J.A., Pattern formation in the flow of thin films down an incline: Constant flux configuration (2001) Phys. Fluids, 13, pp. 3168-3184 | ||
| 504 | |a Marino, B.M., Thomas, L.P., Gratton, R., Diez, J.A., Betelú, S., Gratton, J., Waiting-time solutions of a nonlinear diffusion equation: Experimental study of a creeping flow near a waiting front (1996) Phys. Rev. E, 54, pp. 2628-2636 | ||
| 504 | |a Moyle, D.T., Chen, M.S., Homsy, G.M., Nonlinear rivulet dynamics during unstable dynamic wetting flows (1999) Intl J. Multiphase Flow, 25, pp. 1243-1263 | ||
| 504 | |a Padday, J.F., Theory of surface tension (1969) Surface and Colloid Science, 1, pp. 39-251. , (ed. E. Matijevic), Wiley | ||
| 504 | |a Scholle, M., Aksel, N., An exact solution of visco-capillary flow in an inclined channel (2001) Z. Angew. Math. Phys., 52, pp. 749-769 | ||
| 504 | |a Schwartz, L.W., Viscous flows down an inclined plane: Instability and finger formation (1989) Phys. Fluids A, 1, pp. 443-445 | ||
| 504 | |a Silvi, N., Dussan, V.E.B., On the rewetting of an inclined solid surface by a liquid (1985) Phys. Fluids, 28, pp. 5-7 | ||
| 504 | |a Wang, C.Y., Exact solutions of the steady-state Navier-Stokes equations (1991) Annu. Rev. Fluid Mech., 23, pp. 159-177 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a We investigate the solutions of the Navier-Stokes equations that describe the steady flow of rivulets down an inclined surface. We find that the shape of the free surface is given by an analytic formula obtained by solving the equation that expresses the condition of static equilibrium under the action of gravity and surface tension, independently of the velocity field and of any assumption concerning the rheology of the liquid. The velocity field is then obtained by solving (in general numerically) a Poisson equation in the domain defined by the cross-section of the rivulet. The isovelocity contours are perpendicular to the free surface. Various properties of the solutions are given as functions of the parameters of the problem. Two special analytic solutions are presented. The exact solutions suggest that the lubrication approximation, frequently employed to investigate problems similar to the present one, predicts reasonably well the global properties of the rivulet provided the static contact angle is not too large. © 2004 Cambridge University Press. |l eng | |
| 593 | |a Universidad Favaloro, Solís 453, Buenos Aires 1078, Argentina | ||
| 593 | |a INFIP CONICET, Dpto. de Física, Facultad de Ciencias Exactas y Nat., Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a GRAVITATION |
| 690 | 1 | 0 | |a STEADY FLOW |
| 690 | 1 | 0 | |a SURFACE TENSION |
| 690 | 1 | 0 | |a FREE SURFACE |
| 690 | 1 | 0 | |a RIVULETS |
| 690 | 1 | 0 | |a NAVIER STOKES EQUATIONS |
| 690 | 1 | 0 | |a FREE SURFACE FLOW |
| 690 | 1 | 0 | |a MATHEMATICAL ANALYSIS |
| 690 | 1 | 0 | |a MODEL |
| 690 | 1 | 0 | |a NAVIER-STOKES EQUATIONS |
| 700 | 1 | |a Gratton, J. | |
| 773 | 0 | |d 2004 |h pp. 367-379 |k n. 507 |p J. Fluid Mech. |x 00221120 |t Journal of Fluid Mechanics | |
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