Abstract
The gravity field and vibration effect on the flow of a viscoplastic fluid layer along an inclined solid surface is investigated. The rheological properties of the fluid are described using the Williamson equation. The vibrations are shown to have a considerable effect on the fluid layer flow intensity and direction; in particular, they generate a considerable mean fluid flow even in the cases in which the fluid is at rest in the absence of the vibrations.
Similar content being viewed by others
References
Z.P. Shul’man and V.I. Baikov, Rheodyanmics and Heat and Mass Transfer in Film Flows [in Russian], Nauka i Tekhnika, Minsk (1979).
Z.P. Shul’man and V.I. Baikov, “Laminar Wave Flow of a Viscoplastic Fluid Film,” Inzh.-Fiz. Zh. 36, 721 (1979).
Z.P. Shul’man, V.I. Baikov, and S.L. Benderskaya, “Viscoplastic Fluid Film Flow under Dynamic Action,” Inzh.-Fiz. Zh. 33, 666 (1977).
W.L. Wilkinson, NonNewtonian Fluids. Fluid Mechanics, Mixing and Heat Transfer, Pergamon Press, London (1960).
D.V. Lyubimov and A.V. Perminov, “Motion of a Thin Inclined Layer of a Viscoplastic Fluid,” Inzh.-Fiz. Zh. 75(4), 123 (2002).
E.L. Tarunin, “Distinctive Features of Asymmetric Vibrations in the Presence of Nonlinear Viscous Friction,” Vestn. PGTU. Prikl. Mat. Mekh., p. 9 (2003).
Additional information
Original Russian Text © D.V. Lyubimov, A.V. Perminov, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 1, pp. 29–39.
Rights and permissions
About this article
Cite this article
Lyubimov, D.V., Perminov, A.V. Asymmetric vibration effect on the flow of a thin layer of a viscoplastic fluid. Fluid Dyn 46, 24–33 (2011). https://doi.org/10.1134/S0015462811010030
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462811010030