Closed-Loop Modeling of Power and Temperature Profiles of FPGAs
1. TYPICAL TEMPERATURE PROFILES
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Transcript of 1. TYPICAL TEMPERATURE PROFILES
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1. TYPICAL TEMPERATURE PROFILES(from Pinet, 1998)
Thermocline is a range of depths
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2. CTD – Conductivity-Temperature-Depth Recorder
thermistor
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Celsius Temperature = Thermodynamic Temperature – 273.15ºK
Measured with ITS90
T68 = 1.00024 T90
(from Pinet, 1998)
3.
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(from Pinet, 1998)
(NORTHERN HEMISPHERE)4
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(from Pinet, 1998)
(NORTHERN HEMISPHERE)4
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5. Seasonal variability of sea surface temperature throughout the ocean
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PRESSURE
Pressure = Force / Area
Pressure = Mass * Gravity / Area
Mass = Density * Volume
Pressure = Density * Volume * Gravity / Area
Volume/ Area = Depth
Pressure = Density * Gravity * Depth
zgP
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6. PRESSURE
z
- zPz
Pz = - g z DENSITY CONSTANT
z1
- zPz
z2
z3
Pz = -Σ13 ng zn
DENSITY STRATIFIED
Pycno-cline
- zPz
MixedLayer
DENSITY VARIES CONINUOUSLYWITH DEPTH
zzz gdzP
0
Units: N/m2 = Pa
1 m depth ~ 1 db ~ 104 Pa
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SALINITY
Old Definition: “The salinity of a sample of sea water represents the total mass of solid material dissolved in a sample of sea water divided by the mass of the sample, after all the carbonates have been converted into oxide, the bromine and iodine replaced by chlorine, and all organic matter completely oxidized.”
Absolute Salinity: “ratio of the mass of dissolved material in sea water to the mass of sea water.” ----- can not be measured in practice.
Practical Salinity: is defined in terms of the ratio
Electrical conductivity of a sea water sample at 15ºC and one standard atmosphere……. = K15 Conductivity of a KCl solution in which the mass fraction of KCl is 0.0324356 at same T and P
If K15 = 1, then the Practical Salinity is 35
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S = a0 + a1 K15½ + a2 K15 + a3 K15
3/2 + a4 K152 + a5 K15
5/2
where: a0 = 0.0080a1 = -0.1692a2 = 25.3851a3 = 14.0941a4 = -7.0261a5 = 2.7080Σai = 35.000
Good for 2 < S < 42
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Major Constituents
The concentrations of these major constituents are conservative. They are unaffected by most biological and chemical processes.
This is related to the principle of constant proportion
Cl- 18.98/34.4 = 55%Na+ 10.556/34.4 = 31%
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Residence Time = Concentration (mass/vol)/Rate of supply (mass/vol/time)
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Where do the Salts come from?
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hightemperatesubtropical
7.
(from Pinet, 1998)
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8.
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(from the Navy Coastal Ocean Model)
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High evaporation in subtropics (wind and heat) causes high surface salinity
What would temperature look like?What would temperature look like?
9. Latitudinal variations in surface salinity
(Pinet, 1998)
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TEMPERATURE
Salinity
Temperature
37
34
31
30
20
10
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10. WATER DENSITY
dept
h (m
)
density anomaly (kg/m3)23 24 25 26 27
1000
2000
3000
4000
Density Profiles in the Open Ocean
High Latitude
EquatorTropics
Density Anomaly σt = Density - 1000
Specific Volume = Inverse of Density
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11.
(from Pinet, 1998)
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Equation of State (EOS-80)
Determines water density from T, S, and P
),,(/1),,(/1)0,,(),,( PTSPTSKPTSPTS
22/3)0,,(/1)0,,( DSCSBSATSTS
22/32/3 )()(),,( PNSMPJSISHGSFSEPTSK
A through N are polynomials
T is temperature in oC
S salinity
P pressure in bars
K is the secant bulk modulus (change in volume as pressure is changed)
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A B C D
T0 999.842594 8.24493E-1 -5.72466E-3 4.8314E-4
T1 6.793952E-2 -4.0899E-3 1.0227E-4
T2 -9.095290E-3 7.6438E-5 -1.6546E-6
T3 1.001685E-4 -8.2467E-7
T4 -1.120083E-6 5.3875E-9
T5 6.536332E-9
E F G
T0 19652.21 54.6746 7.944E-2
T1 148.4206 -0.603459 1.6483E-2
T2 -2.327105 1.09987E-2 -5.3009E-4
T3 1.360477E-2 -6.1670E-5
T4 -5.155288E-5
H I J
T0 3.239908 2.2838E-3 1.91075E-4
T1 1.43713E-3 -1.0981E-5
T2 1.16092E-4 -1.6078E-6
T3 -5.77905E-7
M N
T0 8.50935E-5 -9.9348E-7
T1 -6.12293E-6 2.0816E-8
T2 5.2787E-8 9.1697E-10
),0,35(
),,(),,(
P
PTSPTS
Specific Volume Anomaly
Check values: 489.1069)1000,5,35(343.1023)0,25,35(
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12. Effects of Salinity on the Properties of Seawater
Lowers freezing point
Lowers temperature of maximum density
Lowers evaporation rate
24.7
-1.33
Seawater freezesbefore reachingmax density
(from Pinet, 1998)
A lake turns over as it freezes
The ocean remains stratified as it freezes
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Greater influence of salinity on density
90 % of Ocean Water
Mean T & S for World Ocean
13.
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14. Effects of Temperature and Salinity on Density
T
1
S
1
Thermal Expansion Saline Contraction
x 10-4 oC-1 x 10-4 S-1
Density changes by 0.2 kg/m3 for a T change of 1oC, and by 0.8 kg/m3 for a S change of 1.
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Potential Temperature
In situ and Potential Temperature in the Mindanao Trench (from Millero’s home page)
Depth Salinity In situ Theta Sigma -t Sigma-Theta
1455 34.58 3.20oC 3.09 27.55 27.56
2470 34.64 1.82 1.65 27.72 27.73
3470 34.67 1.52 1.31 27.76 27.78
4450 34.67 1.65 1.25 27.76 27.78
6450 34.67 1.93 1.25 27.74 27.79
8450 34.69 2.23 1.22 27.72 27.79
10035 34.67 2.48 1.16 27.76 27.79
Temperature a water parcel would have if raised adiabatically to the surface
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dept
h (m
)
0 1 2 3 4
2000
4000
6000
8000
10000
dept
h (m
) 2000
4000
6000
8000
10000
T σt σΘΘ
0 1 2 3 427.4 27.8 27.4 27.8
Tσt
ΘσΘ
15. Example of in-situ and potential temperature
How do we convert to potential temperature?
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)/(104
1021
4p
4
CkgJC
db
C
Cg
pT
dpT
o
o
p
Γ is the adiabatic lapse rate
Γ can also be obtained from Unesco Technical Papers in Marine Science # 44 by Fofonoff and Millard, Unesco 1983
~0.1º change at 1000 m
~0.3º change at 3000 m
Data off Antarctica
in-situpotential
Effect of pressure on density
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PSPT
R
Density Ratio
Relative importance of thermal expansion and haline contraction.
Tells us whether temperature or salinity gradient is most important in stratification
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PSPT
R
Example in Easter Island
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PC2
1
SOUND SPEED
Sound is a wave that travels efficiently in water at a speed given by thisThermodynamic expression.
Eta is the entropy (normalized energy of the system)
A simpler form of that equation is:
C = 1449 + 4.6 T – 0.055 T 2 + 1.4 (S – 35) + 0.017 D (m/s)
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16. C = 1449 + 4.6 T – 0.055 T 2 + 1.4 (S – 35) + 0.017 D (m/s)
Cair = 330 m/s ~ 660 kn
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SOFAR Channel and Acoustic Shadow Zone (SOund Fixing And Ranging )
Dep
th (
m)
(From Tomczak’s Web Site)
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Light Penetration in Sea Water
Iz = Io e –k z
k = vertical attenuation coefficient (m-1)
k = 0.02
k = 0.2
k = 2clear ocean water
turbidcoastal water
(fraction of that entering at the surface)
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