|
CF
|
Forchheimer’s constant |
|
c
|
Constant pressure specific heat capacity, J∙kg−1∙K−1
|
|
Dh
|
Hydraulic diameter, mm |
|
G
|
Width of heat sink cell, mm |
|
K
|
Permeability, m2
|
|
k
|
Thermal conductivity, W∙m−1∙K−1
|
|
Lx
|
Length, mm |
|
Ly
|
Width, mm |
|
H
|
Height, mm |
|
N
|
Number of cell |
|
n
|
Normal direction of interface |
|
P
|
Pumping power, W |
|
p
|
Pressure, Pa |
|
Q
|
Total heating power, W |
|
|
Heat flux vector, W∙cm−2
|
|
|
Heat flux, W∙cm−2
|
|
S
|
Bottom area, mm2
|
|
|
Entropy generation rate, W∙K−1
|
|
T
|
Temperature, K |
|
V
|
Velocity vector, m∙s−1
|
|
Vc
|
Volume of a cell, mm3
|
|
Vp
|
Volume of porous medium in a cell, mm3
|
|
Wc
|
Channel width of a cell, mm |
|
Wr
|
Thickness of a rib, mm |
|
Greek Letters
|
|
A
|
Aspect ratio of a cell |
|
|
Length-width ratio of heat sink |
|
|
Density, kg∙m−3
|
|
|
Dynamic viscosity coefficient, Pa∙s |
|
|
Volume proportion of porous medium |
|
ε
|
Porosity |
|
|
Viscous dissipation function per unit volume |
|
Superscripts
|
| ~ |
Dimensionless |
|
Subscripts
|
|
eff
|
Effective |
|
f
|
Fluid |
|
in
|
Inlet |
|
max
|
Maximum |
|
opt
|
Optimal |
|
out
|
Outlet |
|
p
|
Porous medium region |
|
s
|
Solid |
|
Abbreviation
|
|
Be
|
Bejan number |
| DEGR |
Dimensionless entropy generation rate |
| EGM |
Entropy generation minimization |
| EGR |
Entropy generation rate |
| HS |
Heat sink |
| MCHS |
Microchannel heat sink |
| PM |
Porous medium |
|
Re
|
Reynolds number |