Biomedical Engineering Reference
In-Depth Information
Interfacial heat transfer coecient (W/m
2
K)
h
f
h
sf
Latent heat of solidification (W/kg)
k
Thermal conductivity (W/mK)
Permeability tensor (m
2
)
K
ij
Met
Dimensionless number associated with metabolic reaction rate
n
j
Unit vector pointing outward from the fluid side to solid side (
−
)
p
Pressure (Pa)
r
Radial coordinate (m)
R
i
Radius of the freezing front (m)
R
lim
Limiting radius (m)
S
m
Metabolic reaction rate (W/m
3
)
Ste
Stephan number (-)
T
Temperature (K)
t
∗
Fourier number (-)
T
0
Body temperature (K)
T
i
Phase change tempearture (K)
T
p
Probe temperature (K)
u
i
Velocity vector (m/sec)
Representative elementary volume (m
3
)
V
x, y
Cartesian coordinates (m)
Thermal diffusivity (m
2
/sec)
α
ε
Porosity (-)
Kinematic viscosity (m
2
/sec)
ν
Density (kg/m
2
)
P
ω
Perfusion rate (1/sec)
ω
Net filtration rate (1/sec)
ω
∗
Dimensionless perfusion rate (-)
ω
eff
Effective perfusion rate (1/sec)
Special symbols
φ
Deviation from intrinsic average
φ
Volume average
f,s,a,v
φ
Intrinsic average
Subscripts and superscripts
a
Artery
c
Unfrozen tumor
dis
Dispersion
f
Fluid
i
Ice interface
p
Cryoprobe
s
Solid
v
Vein
∗
Dimensionless
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