Geoscience Reference
In-Depth Information
Steele, M., Mellor, G. L., and McPhee, M. G.: Role of the molecular sublayer in the melting or
freezing of sea ice. J. Phys. Oceanogr., 19, 139-147 (1989)
Untersteiner, N. and Sommerfeld, R.:Supercooled water and bottomtopography of floating ice. J.
Geophys. Res., 69, 1057-1062 (1964)
Weeks, W.F.andAckley, S.F.:Thegrowth, structure, andproperties ofseaice.In: N.Untersteiner
(eds.) The Geophysics of Sea Ice, pp. 9-164. Plenum, New York (1986)
Wettlaufer, J. S., Worster, M. G., and Huppert, H. P.: Natural convection during solidification of
an alloy from above with application to the evolution of sea ice, J. Fluid Mech., 344, 291-316
(1997)
Yaglom, A. M. and Kader, B. A.: Heat and mass transfer between a rough wall and turbulent flow
at high Reynolds and Peclet numbers. J. Fluid Mech., 62, 601-623 (1974)
Nomenclature
h
i
Icegrowthrate
w
0
Isostaticallyadjustedbottommeltrate
w
p
Interfacevelocitydueto freshwaterpercolation
w
Interfaceverticalvelocity
(
w
0
+
w
p
)
q
Heatconductionintheicecolumndividedby
ρ
c
p
K
ice
Thermalconductivityofseaice
K
fresh
Thermalconductivityofpureice
04Jm
−
1
K
−
1
s
−
1
(
.
)
2
S
ice
Icesalinity
T
z
Verticaltemperaturegradientinice
117Jm
−
1
β
ProportionalityconstantinUntersteiners(1961)formula
(
0
.
K
−
1
s
−
1
psu
−
1
◦
C
)
Q
L
Latentheat ofmeltingforsaline icedividedby
c
p
5kJkg
−
1
L
fresh
)
α
h
,
α
S
Turbulentexchangecoefficientsforheatandsalt
T
w
,
Latentheatofpureice
(
335
.
S
w
Far-field(well mixedlayer)temperature,salinity
T
0
,
S
0
Temperature,salinity atthe ice/waterinterface
δ
T
,
δ
S
w
−
T
0
,
S
w
−
S
0
Re
∗
Reynoldsnumberbasedonfrictionvelocity,surfaceroughness:
u
∗
0
z
0
/
ν
Pr
Prandtlnumber,
ν
/
ν
T
Sc
Schmidtnumber,
ν
/
ν
S
St
Stantonnumber
St
∗
Stantonno.basedon
u
∗
0
;bulkheattransferfactor
∆
T
Departureofwellmixedlayertemperaturefromfreezing