• Chaotic travelling rolls in Rayleigh–Bénard convection

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/074/01/0075-0082

• # Keywords

Convection; travelling rolls instability; direct numerical simulation.

• # Abstract

In this paper we investigate two-dimensional (2D) Rayleigh–B ́enard convection using direct numerical simulation in Boussinesq fluids with Prandtl number $P = 6.8$ confined between thermally conducting plates. We show through the simulation that in a small range of reduced Rayleigh number $r (770 &lt; r &lt; 890)$ the 2D rolls move chaotically in a direction normal to the roll axis. The lateral shift of the rolls may lead to a global flow reversal of the convective motion. The chaotic travelling rolls are observed in simulations with free-slip as well as no-slip boundary conditions on the velocity field. We show that the travelling rolls and the flow reversal are due to an interplay between the real and imaginary parts of the critical modes.

• # Author Affiliations

1. Department of Physics, Indian Institute of Technology, Kanpur 208 016, India
2. Department of Physics and Meteorology, Indian Institute of Technology, Kharagpur 721 302, India
3. Physique Statistique et Plasmas, Universit ́e Libre de Bruxelles, B-1050 Bruxelles, Belgium
4. Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208 016, India

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019