Phys. Rev. Lett. 75, 2328–2331 (1995)

Hydrodynamic Description of Granular Convection

Abstract

References

Citing Articles (34)

Page Images

Download: PDF (231 kB) Buy this article Export: BibTeX or EndNote (RIS)

Hisao Hayakawa^1,*, Su Yue², and Daniel C. Hong^2,†
¹Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080
²Department of Physics, Lewis Laboratory, Lehigh University, Bethlehem, Pennsylvania 18015

Received 20 April 1995; published in the issue dated 18 September 1995

We present a hydrodynamic model that captures the essence of granular dynamics in a vibrating bed. We carry out the linear stability analysis and uncover the instability mechanism that leads to the appearance of convective rolls via a supercritical bifurcation of a bouncing solution. We also explicitly determine the onset of convection as a function of control parameters and confirm our picture by numerical simulations of the continuum equations.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.75.2328

DOI:

10.1103/PhysRevLett.75.2328

PACS:

47.20.-k, 46.10.+z, 81.35.+k

^*Electronic address: hisao@engels.physics.uiuc.edu

^†Electronic address: dh09@lehigh.edu

About | Terms and Conditions | Subscriptions | Search | Help

Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.

Citation Search:

Phys. Rev. Lett. 75, 2328–2331 (1995)

Hydrodynamic Description of Granular Convection