Abstract
An analysis of the flow in the gap between a rotating cone and a stationary plate at low Reynolds numbers is presented. Using series expansions for the components of the mean velocity profile and the pressure gradient the Navier-Stokes equations and the continuity equation for a Newtonian fluid written in cylindrical coordinates are solved. It is found that the solution is stable and convergent for the local Reynolds numbers Re smaller than 1.2928. The computed angle of the wall streamlines is found to be in good agreement with experimental data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fewell, M E, Hellums, J D. The Secondary Flow of Newtonian Fluids in Cone-and-Plate Viscosimeters. Trans. Soc. Rheol., 1974, 21: 235–565
Sdougos, H P, Bussolari, S R, Dewey, C F. Secondary Flow and Turbulence in a Cone-and-Plate Device. JFM, 1984, 138: 379–404
Grad, Y, Einav, S. Spectral and Instantaneous Flow Field Characteristics of the Laminar to Turbulent Transition in a Cone and Plate Apparatus. Exp. Fluids, 2000, 28: 336–343
Schnittler, H-J, Franke, R P, Akaby, U, et al. Improved in Vitro Rheological System for Studying the Effect of Fluid Shear Stress on Cultured Cells. Am. J. Physiol, 1993, 265: C289–298
Gersten, K, Herwig, H. Strömungsmechanik. Vieweg, 1992
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Buschmann, M.H. A solution for the flow between a cone and a plate at low Reynolds number. J. of Therm. Sci. 11, 289–295 (2002). https://doi.org/10.1007/s11630-002-0041-1
Issue Date:
DOI: https://doi.org/10.1007/s11630-002-0041-1