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. 2021 Nov 17;23(11):1528. doi: 10.3390/e23111528
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
q Heat flux vector, W∙cm−2
q″ Heat flux, W∙cm−2
S Bottom area, mm2
S˙g 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
β Length-width ratio of heat sink
ρ Density, kg∙m−3
μ Dynamic viscosity coefficient, Pa∙s
ϕ Volume proportion of porous medium
ε Porosity
Φ‴ 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