• Corpus ID: 119197999

Stability of laminar Couette flow of compressible fluids

@article{Frnsdal2016StabilityOL,
  title={Stability of laminar Couette flow of compressible fluids},
  author={Christian Fr{\o}nsdal},
  journal={arXiv: General Physics},
  year={2016}
}
  • C. Frønsdal
  • Published 23 December 2016
  • Mathematics
  • arXiv: General Physics
Cylindrical Couette flow is a subject where the main focus has long been on the onset of turbulence or, more precisely, the limit of stability of the simplest laminar flow. The theoretical framework of this paper is a recently developed action principle for hydrodynamics. It incorporates Euler-Lagrange equations that are in essential agreement with the Navier-Stokes equation, but applicable to the general case of a compressible fluid. The variational principle incorporates the equation of… 

References

SHOWING 1-10 OF 24 REFERENCES

Action Principle for Hydrodynamics and Thermodynamics including general, rotational flows

The restriction of hydrodynamics to non-viscous, potential (gradient, irrotational) flows is a theory both simple and elegant; a favorite topic of introductory textbooks. It is known that this theory

Stability of a Viscous Liquid Contained between Two Rotating Cylinders

In recent years much information has been accumulated about the flow of fluids past solid boundaries. All experiments so far carried out seem to indicate that in all cases steady motion is possible

The rotation of liquid helium II II. The theory of mutual friction in uniformly rotating helium II

  • H. E. HallW. Vinen
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1956
A discussion is given of models for the rotation of helium II involving regions of concentrated vorticity, and it is shown thermodynamically that an arrangement of vortex lines is energetically

Heat and Gravitation: The Action Principle

The entropy that allows for the popular isothermal equilibrium and the study of the associated adiabatic dynamics are determined, leading to the suggestion that the equilibrium of an ideal gas must be isentropic, in which case, the role of solar radiation would be merely to compensate for the loss of energy by radiation into the cosmos.

Relativistic thermodynamics, a Lagrangian field theory for general flows including rotation

Any theory that is based on an action principle has a much greater predictive power than one that does not have such a formulation. The formulation of a dynamical theory of General Relativity,

Flow regimes in a circular Couette system with independently rotating cylinders

Our flow-visualization and spectral studies of flow between concentric independently rotating cylinders have revealed a surprisingly large variety of different flow states. (The system studied has

Unified Approach to Strings and Vortices with Soliton Solutions

A classical relativistic theory of one-dimensional extended objects interacting through a massless scalar field, of which they are in turn the source, is constructed. In the no-coupling limit, the

New flows in a circular Couette system with co‐rotating cylinders

Five previously unobserved and unpredicted flows are found to occur in a fluid contained between concentric cylinders with the inner cylinder rotating faster than, but in the same direction as, the

Rotating trapped Bose-Einstein condensates

AbstractTrapped Bose-Einstein condensates (BECs) differ considerably from the standard textbook example of a uniform Bose gas. In an isotropic harmonic potential V(r) = ½Mω2r2, the single-particle

Turbulent Taylor vortex flow

The wavelength of turbulent Taylor vortices at very high Taylor numbers up to 40000Tc , has been measured in long fluid columns with radius ratios η = 0·896 and η = 0·727. Following slow acceleration