SI پایه، مشتق شده، و واحدهای دیگر

SI پایه، مشتق شده، و واحدهای دیگر

SI پایه، مشتق شده، و واحدهای دیگر
واحدهای SI یک سیستم پذیرفته شده بین المللی را با هفت واحد برای مقادیر پایه و تعداد زیادی واحد مشتق شده تشکیل می دهند. هنگام اعلان واحدها در COMSOL از نمادهای این واحدها و سایر واحدها استفاده کنید (به عنوان مثال، 10[m/s] از واحد SI برای سرعت استفاده می کند).

TABLE 3-8: BASE SI UNITS
BASE QUANTITY
UNIT NAME
SYMBOL
length
meter, metre*
m
mass
kilogram
kg
time
second
s
electric current
ampere
A
temperature
kelvin**
K
amount of substance
mole
mol
luminous intensity
candela
cd
* See About Editing Geometry Length and Angular Units
**See About Temperature Units
TABLE 3-9: SI DERIVED UNITS IN COMSOL
DERIVED QUANTITY
NAME
SYMBOL
absorbed dose
gray
Gy
capacitance
farad
F
conductance
siemens
S
dose equivalent
sievert
Sv
electric charge
coulomb
C
electric resistance, impedance, reactance
ohm*
Ω
electric potential difference, voltage
volt
V
energy, work, heat
joule
J
force, weight
newton
N
frequency
hertz
Hz
inductance
henry
H
magnetic flux
weber
Wb
magnetic flux density, magnetic induction
tesla
T
plane angle
radian
rad
power
watt
W
pressure
pascal
Pa
* See the additional notes following the next table.
TABLE 3-10: ADDITIONAL UNITS IN COMSOL
QUANTITY
NAME
SYMBOLS
VALUE
acceleration
galileo
Gal
0.01 m/s2
acoustic impedance
rayl*
rayl, rayl_cgs
1 Pa·s/m (rayl), 10 Pa·s/m (rayl_cgs)
dimensionless value
percent
%
0.01
dimensionless value
partspermillion (parts per million)
ppm
10-6
dipole moment
debye
D
3.33564095·10-30 C·m
dynamic viscosity
poise
P
0.1 Pa·s
electric charge
amperehour
Ah
3600 C
energy
British thermal unit*
BTU, Btu
1055.05585 J
energy
calorie*
cal
4.184 J
energy
electronvolt
eV
1.6021765314·10-19 J
energy
erg
erg
10-7 J
energy
watthour
Wh
3600 J
force
dyne
dyn
10-5 N
force
kilopond*
kp, kpf
9.80665 N
force
poundal
pdl
0.138254954376 N
force
pound-force
lbf
4.4482216152605 N
frequency
rpm
RPM
1/60 Hz
length
angstrom
Å
10-10 m
length
inch
in
0.0254 m
length
foot
ft
0.3048 m
length
mile*
mi
1609.344 m
length
microinch
uin
0.0254·10-6 m
length
milliinch
mil, thou
0.0254·10-3 m
length
nautical mile*, nautimile
nmi
1852 m
length
yard
yd
0.9144 m
magnetic field strength
oersted
Oe
103/(4·π) A/m
magnetic flux density
gauss
G
10-4 T
mass
atomic mass unit, dalton
u, amu, Da
1.660538782·10-27 kg
mass
gram
g
0,001 kg
mass
ounce
oz
0.028349523 kg (1/16 lb)
mass
pound, pound-mass
lb, lbm
0.45359237 kg
mass
stone
st
6.35029318 kg
mass
slug
slug
approx. 14.5939 kg
mass
ton, tonne
t
1000 kg
molar concentration (molarity)
molar
M
1000 mol/m3
permeability
millidarcy*
mD
9.869233·10-16 m2
plane angle
arcminute
arcmin
π/10800
plane angle
arcsecond
arcsec
π/648000
plane angle
degree
deg
π/180
pressure
atmosphere
atm
101325 Pa
pressure
bar
bar
100000 Pa
pressure
barye
ba
0.1 Pa
pressure
kilopound per square inch*
ksi
6.894757·106 Pa (1000 psi)
pressure
psi
psi
6.894757·103 Pa
pressure
torr
Torr, mmHg
133.322 Pa
pressure
inches water*
inAq, inH2O
249.089 Pa
pressure
millimeters water*
mmH2O
9.0866 Pa
speed
mph, MPH
mph
0.44704 m/s
speed
knot*
knot
1852 km/h (approx. 0.614 m/s)
temperature
Celsius**
degC
T+273.15
temperature
Fahrenheit**
degF
5/9·T+459.67
temperature
Rankine**
R, Ra
5/9·T
time
year*
a, yr
31556952 s
time
day
d
86400 s
time
hour
h
3600 s
time
minute
min
60 s
volume
fluid ounce*
fl_oz
2.8413063·10-5 m3
volume
gallon*
gal
0.003785411784 m3
volume
imperialgallon
impgal
0.00454609 m3
volume
liter, litre
L, l
0.001 m3
volume
pint*
pt
0.000473176473 m3
volume
quart*
qt
0.000946352946 m3
volumetric flow rate
cubic feet per minute
CFM, cfm
4.719474·10-4 m3/s
* See the additional notes following this table.
** See About Temperature Units
 
ADDITIONAL NOTES ABOUT UNITS IN Table 3-9 AND Table 3-10
UNIT NAME
NOTE
British thermal unit
An energy unit defined as the amount of heat required to raise the temperature of one pound (pound-mass) of water by one degree from 60° to 61° Fahrenheit at a constant pressure of one atmosphere. Refer to the British thermal unit using the symbol only (Btu or BTU): for example, 0.28[Btu/(h*in*degF)] for a thermal conductivity.
calorie
Small calorie or gram calorie, which equals 4.184 J. A large calorie or kilogram calorie is 1000 calories (4.184 kJ). Use [kcal] for large calories.
fluid ounce
The fluid ounce is equal to 1/160 of an imperial gallon: 2.8413063·10-5 m3; that is, an imperial fluid ounce. You can refer to this unit using fluid_ounce (as the unit) or fl_oz (as the symbol).
kilopond
The kilopond (kp) or kilogram-force (kpf) is a gravitational metric unit of force. Refer to this unit using kilopond, kp, or kpf only.
kilopound per square inch
The kilopound per square inch (ksi) is a scaled pressure unit derived from psi (1 ksi is equal to 1000 psi). Refer to this unit using the symbol only (ksi).
millidarcy (mD)
Widely used for permeability in petroleum engineering. Typical values for the permeability of porous media are in the range of a few to a few hundred mD. The symbol D represents the debye, a unit for the magnetic dipole moment, and not the darcy unit.
mile
The international statute mile, which equals 1609.344 m.
nautimile
The nautical mile equals 1852 m.
ohm
To declare the SI unit for electric resistance, ohm, use [ohm]. The COMSOL Multiphysics software then displays this as Ω .
inches water
The value of 1 inch of water is defined as the pressure exerted by one inch of water for a pure water density of 1000 kg/m3 at 4 degrees Celsius and standard gravity of 9.80665 m/s2. Refer to this unit using the symbol only (inH2O or inAq).
millimeters water
Millimeters water or millimeters, water gauge, is defined as the pressure exerted by one millimeter of water for a pure water density of 1000 kg/m3 at 4 degrees Celsius and standard gravity of 9.80665 m/s2. Refer to this unit using the symbol only (mmH2O).
knot
The same as nautical miles per hour.
year
A Gregorian year, which equals 365.2425 days.
gallon (gal)
This is the U.S. liquid gallon which equals 0.003785411784 m3; the Imperial (UK) gallon (imperialgallon, impgal) is equal to 0.00454609 m3.
pint and quart
The U.S. liquid pint and U.S. liquid quart, respectively.
rayl and rayl_cgs
The rayl (Rayl, Rayleigh) is a unit for the specific acoustic impedance. There are two variants, rayl, for MKS units, and rayl_cgs, for CGS units, where 1 rayl_cgs = 10 rayl. Refer to this unit the symbols only (rayl and rayl_cgs).
TABLE 3-11: EXAMPLES OF SI DERIVED UNITS WITHOUT SPECIAL NAMES
DERIVED QUANTITY
NAME
SYMBOL
acceleration
meter per second squared
m/s2
amount-of-substance concentration
mole per cubic meter
mol/m3
area
square meter
m2
current density
ampere per square meter
A/m2
heat capacity, specific heat
joule per kilogram kelvin
J/(kg·K)
magnetic field strength
ampere per meter
A/m
mass density
kilogram per cubic meter
kg/m3
permeability
henry per meter
H/m
speed, velocity
meter per second
m/s
wave number
reciprocal meter
m-1
volume
cubic meter
m3