Numerical simulations of nonlinear thermally stratified spin-up in a circular cylinder

Sergey A. Smirnov, J. Rafael Pacheco, Roberto Verzicco

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We present a numerical study of incremental spin-up of a thermally stratified fluid enclosed within a right circular cylinder with rigid bottom and side walls and stress-free upper surface. This investigation reveals a feasibility for transition from an axisymmetric initial circulation to nonaxisymmetric flow patterns, and it is motivated by the desire to compare the spin-up for Dirichlet and Neumann thermal boundary conditions. The numerical simulations demonstrate that the destabilizing mechanism is not purely baroclinic but that vertical and horizontal shears may contribute to the instability. By characterizing the azimuthal instabilities without introducing any simplification, we were able to assess to what extent an insulating boundary condition changes the time-dependent emergence of the instability. Our results agree with previous experimental data and provide a framework for understanding the role played by the baroclinic vorticity in the development of instabilities in thermally stratified incremental spin-up flows
Original languageUndefined
Pages (from-to)116602-1-116602-14
Number of pages14
JournalPhysics of fluids
Issue number11
Publication statusPublished - 2010


  • flow instability
  • Pattern formation
  • Stratified flow
  • confined flow
  • IR-79271
  • shear flow
  • Flow simulation
  • Numerical analysis
  • METIS-275089
  • vortices

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