Abstract
In this paper the spatial pattern of vortex flow around the rotating disk studied experimentally. The disk is mounted in a continuously stratified fluid. The phenomenon of breaking the annular flow near the disk edges to a regular sequence of vortex loops is found. The governing parameters are found and the range of their values is determined. Observations have been made both for strongly stratified and for weakly stratified media. The influence of stratification on the evolution of the current is determined.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
von Karman, T.: Uberlaminare und turbulence reibung. ZAMM, No. 1, pp. 52–233 (1921)
Landau, L.E.M.: Fluid Mechanics. Course of Theoretical Physics, vol. 6, 2nd edn. Pergamon Press, Nauka (1986)
Shahmohamadi, H., MohammadpourA, M.: Series solution for three-dimensional navier-stokes equations of flow near an infinite rotating disk. World J. Mech. 4, 117–127 (2014)
Miklavcic, M.M., Wang, C.Y.: The flow due to a rough rotating disk. JouZ. Angew. Math. Phys. 55(2), 235–246 (2004)
Gregory, N., Stuart, J.T., Walker, W.S.: On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. Roy. Soc. Lond. Ser. A, 248, 155–199 (1955)
Schlichting, H.: Boundary Layer Theory, McGraw-Hill, New York. (1968). Nauka, Moscow (1969)
Furukawa, H., Tsutsui, H., Aoi, K., Watanabe, T., Nakamura, I.: Visual study of variation of flow patterns around a disk in a casing; effects of effects of the disk. J. Phys. Conf. Ser. 14, 220–227 (2005)
Imayama, S., Alfredsson, H.P., Lingwood, R.J.: A new way to describe the transition characteristics of a rotating-disk boundary-layer flow. Phys. Fluids 24, 031701 (2012)
Siddiqui, M.E., Mukund, V., Scott, J., Pier, B.: Experimental characterization of transition region in rotating-disk boundary layer. Phys. Fluids 25, 034102 (2013)
Mowbray, D.E.: The use of schlieren and shadowgraph techniques in the study of flow patterns in density stratified liquids. J. Fluid Mech. 27(Pt. 2), 595–608 (1967)
Il’inykh, Y.S., Chashechkin, Y.D.: Generation of periodic motions by a disk performing torsional oscillations in a viscous, continuously stratified fluid. Fluid Dyn. 39(1), 148–161 (2004)
Il’inykh, Y.S., Kistovich, Y.V., Chashechkin, Y.D.: Comparison of the exact solution of a problem of excitation of periodic internal waves with experiment. Izv. Ross. Akad. Nauk. Fizika Atmosfery i Okeana 35(5), 649–655 (1999)
Chashechkin, Y.D., Kistovich, Y.V.,. Il’inykh, Y.S.: Experimental investigation of generation of internal waves by a boundary flow on a rotating disk. Dokl. Ross. Akad. Nauk 375, 338–342 (2000)
Bardakov, R.N., Mitkin, V.V., Chashechkin, Y.D.: Fine structure of a stratified flow over a plate. Zh. Prikl. Mekh. Tekh. Fiz. 48(6), 77–91 (2007)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Bardakov, R.N. (2018). A Regular System of Vortices in a Circular Stratified Flow Behind the Edge of a Rotating Disk. In: Karev, V., Klimov, D., Pokazeev, K. (eds) Physical and Mathematical Modeling of Earth and Environment Processes. PMMEEP 2017. Springer Geology. Springer, Cham. https://doi.org/10.1007/978-3-319-77788-7_20
Download citation
DOI: https://doi.org/10.1007/978-3-319-77788-7_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77787-0
Online ISBN: 978-3-319-77788-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)