Flows induced by oscillations of a heated sphere
DOI:
https://doi.org/10.7242/1999-6691/2011.4.3.29Keywords:
vibrations, convection, non-linear flow regimes, spherical cavityAbstract
The flows induced by the translational linearly polarized vibrations of a heated sphere immersed in an incompressible fluid are studied. The fluid density does not depend on pressure and changes with temperature according to the linear law. The fluid is bounded by an immovable spherical envelope, and the system is subjected to the gravity field. The stream-function and temperature fields for creeping flow regimes are found analytically. The dependences of the characteristics of the non-linear convective regimes on the parameter values are obtained numerically using a finite difference method.
Downloads
References
Riley N. On a sphere oscillating in a viscous fluid // Q. J. Mech. Appl. Math. - 1966. - V. 19, N. 4. - P. 461-472. DOI
Gopinath A. Steady streaming due to small-amplitude torsional oscillations of a sphere in a viscous fluid // Q. J. Mech. Appl. Math. - 1993. - V. 46, N. 3. - P. 501-520. DOI
Watson E. J. Slow oscillations of a circular cylinder or sphere in a viscous fluid // Q. J. Mech. Appl. Math. - 1992. - V. 45, N. 2. - P. 263-275. DOI
Lubimov D.V., Lubimova T.P., Ru B., Cerepanov A. Tecenie, inducirovannoe koleblusejsa nagretoj sferoj // Izv. RAN. Mehanika zidkosti i gaza. - 1996. - N. 1. - S. 31-39.
Lyubimov D.V. Convective flows under the influence of high frequency vibrations // Eur. J. Mech. B/Fluids. - 1995. - V. 14, N. 4. - P. 439-458.
Schlichting H. Boundary-layer theory. - Pergamon, 1955. - 535 p.
Gershuni G.Z., Lyubimov D.V. Thermal Vibrational Convection. - Wiley, 1998. - 358 p.
Downloads
Published
Issue
Section
License
Copyright (c) 2011 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.