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Travnikov V, Zaussinger F, Beltrame P, et al. Influence of the temperature-dependent viscosity on convective flow in the radial force field. Phys Rev E. 2017;96(2):023108doi: 10.1103/PhysRevE.96.023108.
Travnikov, V., Zaussinger, F., Beltrame, P., & Egbers, C. (2017). Influence of the temperature-dependent viscosity on convective flow in the radial force field. Physical review. E, 96(2), 023108. https://doi.org/10.1103/PhysRevE.96.023108
Travnikov, Vadim, et al. "Influence of the temperature-dependent viscosity on convective flow in the radial force field." Physical review. E vol. 96,2 (2017): 023108. doi: https://doi.org/10.1103/PhysRevE.96.023108
Travnikov V, Zaussinger F, Beltrame P, Egbers C. Influence of the temperature-dependent viscosity on convective flow in the radial force field. Phys Rev E. 2017 Aug;96(2):023108. doi: 10.1103/PhysRevE.96.023108. Epub 2017 Aug 29. PMID: 28950511.
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Phys Rev E. 2017 Aug;96(2):023108. doi: 10.1103/PhysRevE.96.023108. Epub 2017 Aug 29.

Influence of the temperature-dependent viscosity on convective flow in the radial force field.

Physical review. E

Vadim Travnikov, Florian Zaussinger, Philippe Beltrame, Christoph Egbers

Affiliations

  1. Department of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus-Senftenberg, Siemens-Halske-Ring 14, D-03046, Cottbus, Germany.
  2. UMR1114, Université d'Avignon-INRA, F-84000 Avignon, France.

PMID: 28950511 DOI: 10.1103/PhysRevE.96.023108

Abstract

The numerical investigation of convective flows in the radial force field caused by an oscillating electric field between spherical surfaces has been performed. A temperature difference (T_{1}>T_{2}) as well as a radial force field triggers a fluid flow similar to the Rayleigh-Bénard convection. The onset of convective flow has been studied by means of the linear stability analysis as a function of the radius ratio η=R_{1}/R_{2}. The influence of the temperature-dependent viscosity has been investigated in detail. We found that a varying viscosity contrast β=ν(T_{2})/ν(T_{1}) between β=1 (constant viscosity) and β=50 decreases the critical Rayleigh number by a factor of 6. Additionally, we perform a bifurcation analysis based on numerical simulations which have been calculated using a modified pseudospectral code. Numerical results have been compared with the GeoFlow experiment which is located on the International Space Station (ISS). Nonturbulent three-dimensional structures are found in the numerically predicted parameter regime. Furthermore, we observed multiple stable solutions in both experiments and numerical simulations, respectively.

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