105
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Horizontal convection with a non-linear equation of state: generalization of a theorem of Paparella and Young

Pages 134-137 | Received 08 May 2009, Accepted 26 Nov 2009, Published online: 15 Dec 2016

References

  • Davis, R. E. 1994. Diapycnal mixing in the ocean: equations for large-scale budgets. J. Phys. Oceanogr 24, 777–800.
  • Defant, A. 1961. Physical Oceanography Volume 1. Pergamon, New York.
  • Jeffreys, H. W. 1925. On fluid motions produced by differences of temperature and salinity. Q. J. Roy. Met. Soc. 51, 347–356.
  • Kuhlbrodt, T. 2008. On Sandström’s inferences from his tank experiments: a hundred years later. Tellus 60A, 819–836.
  • Marchal, O. 2007. Particle transport in horizontal convection: Implications for the `Sandstriim theorem’. Tellus 59A, 141–154.
  • McIntyre, M. E. 2009. On spontaneous imbalance and ocean turbulence: generalizations of the Paparella—Young epsilon theorem. In: Turbulence in the Atmosphere and Oceans (ed. D. G. Dritschel), (Proc. International IUTAM/Newton Institute Workshop held 8-12 Dec. 2008), Springer, Heidelberg.
  • Munk, W. H. and Wunsch, C. I. 1998. Abyssal recipes. energetics of tidal and wind mixing. Deep-Sea Res. 145, 1977–2010.
  • Nycander, J., Nilsson, J., Diiiis, K. and Brostriim, G. 2007. Thermodynamic analysis of ocean circulation. J. Phys. Oceanogr. 37, 2038–2052.
  • Paparella, F. and Young, W. R. 2002. Horizontal convection is non-turbulent. J. Fluid Mech. 466, 205–214.
  • Sandstriim, J. W. 1908. Dynamische Versuche mit Meerwasser. Ann. Hydrodynam. Mar MeteoroL 36, 6–23.
  • Vallis, G. K. 2006. Atmospheric and Oceanic Fluid Dynamics, Cambridge University Press, Cambridge.
  • Winters, K. B. and Young, W. R. 2009. Available potential energy and buoyancy variance in horizontal convection. J. Fluid Mech. 629, 221–230.
  • Young, W. R. 2009. Dynamic enthalpy, conservative temperature, and the seawater Boussinesq approximation. J. Phys. Oceanogr, 10.1175/2009JP04294.1.