Stably stratified turbulent flows are common in geophysics and astrophysics, and frequently exhibit layered structures in which large regions of nearly constant fluid density are separated by sharp density gradients. Experiments have demonstrated that, under suitable conditions, the stirring of a stably stratified fluid generates these layer structures. In this paper, a stochastic one-dimensional model is used to study layer formation in stably stratified turbulence. The results support mixing length arguments previously proposed to describe layers in steady state.
REFERENCES
1.
Y.
Park
, J. A.
Whitehead
, and A.
Gnanadeskian
, “Turbulent mixing in stratified fluids: layer formation and energetics
,” J. Fluid Mech.
279
, 279
(1994
).2.
B. R.
Ruddick
, T. J.
McDougall
, and T. S.
Turner
, “The formation of layers in a uniformly stirred density gradient
,” Deep-Sea Res.
36
, 597
(1989
).3.
J. M.
Holford
and P. F.
Linden
, “Turbulent mixing in a stratified fluid
,” Dyn. Atmos. Oceans
30
, 173
(1999
).4.
O. M.
Phillips
, “Turbulence in a strongly stratified fluid is it unstable?
” Deep-Sea Res.
19
, 79
(1972
).5.
P.
Billant
and J.
Chomaz
, “Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid
,” J. Fluid Mech.
418
, 167
(2000
).6.
S.
Wunsch
, “Scaling laws for layer formation in stably-stratified turbulence
,” Phys. Fluids
12
, 672
(2000
).7.
A. R.
Kerstein
, “One-dimensional turbulence: Model formulation and application to homogeneous trubulence, shear flows, and buoyant stratified flows
,” J. Fluid Mech.
392
, 277
(1999
).8.
N. J.
Balmforth
, S. G. L.
Smith
, and W. R.
Young
, “Dynamics of interfaces and layers in a stratified turbulent fluid
,” J. Fluid Mech.
355
, 329
(1998
).9.
A. R.
Kerstein
, “One-dimensional turbulence. 2. Staircases in double-diffusive convection
,” Dyn. Atmos. Oceans
30
, 25
(1999
).10.
J.
Gollub
, J.
Clarke
, M.
Gharib
, B.
Lane
, and O.
Mesquita
, “Fluctuations and transport in a stirred fluid with a mean gradient
,” Phys. Rev. Lett.
67
, 3507
(1991
).11.
L.
Mydlarski
and Z.
Warhaft
, “Passive scalar statistics in high Peclet-number grid turbulence
,” J. Fluid Mech.
358
, 135
(1998
).12.
S.
Wunsch
, “Simple passive scalar advection-diffusion model
,” Phys. Rev. E
58
, 5757
(1998
).
This content is only available via PDF.
© 2001 American Institute of Physics.
2001
American Institute of Physics
You do not currently have access to this content.