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. 2020 Apr 12;11(4):403. doi: 10.3390/mi11040403
a half of the width of the microchannel, μm
Atr total effective convective heat transfer area, m2
b half of the height of the microchannel, μm
cf fluid specific heat capacity, J/kg·°C
Dc distance of two adjacent cavities, μm
Dch hydraulic diameter of microchannel, μm
fapp apparent friction coefficient
fapp,0 friction factor of the straight microchannel
F(a/b) function depended on a/b
h local convective heat transfer coefficient, W/(m2·°C)
hfin fin surface heat transfer coefficient, W/(m2·°C)
Hch height of microchannel, μm
K90 pressure loss coefficient for a 90° bend
Kc sudden contraction coefficient
Ke sudden expansion coefficient
Kim inlet manifold loss coefficient
Kom outlet manifold loss coefficient
Lch length of microchannel, mm
N number of parallel microchannels
Nu Nusselt number
Nu0 Nu number of the straight microchannel
m fin parameter
m˙f fluid mass flux, kg/s
q heat flux, W/m2
ΔPc pressure drop caused by sudden contraction, Pa
ΔPch pressure drop in the microchannel, Pa
ΔPe pressure drop caused by sudden expansion, Pa
ΔPim pressure drop in the inlet manifold, Pa
ΔPloss pressure loss, Pa
ΔPom pressure drop in the outlet manifold, Pa
ΔPtotal total pressure drop between inlet/outlet manifold, Pa
R radius of reentrant cavities, μm
Re Reynolds number
Tave average of the temperature measured by the four thermocouples, °C
Tf fluid characteristic temperature, °C
Tf,in fluid inlet temperature, °C
Tf,out fluid outlet temperature, °C
Tw Wall temperature, °C
V total fluid volumetric flow rate
Vch average velocity in the microchannel, m/s
Vim velocity in the inlet manifold, m/s
Vom velocity in the outlet manifold, m/s
Wch width of microchannel, μm
Greek letters
α dimensionless parameter, (=R/Dch)
β dimensionless parameter, (=R/Dc)
ρf fluid density, kg/m3
μf fluid dynamic viscosity, Pa·s
λf fluid thermal conductivity coefficient, W/m·°C
λSi thermal conductivity coefficient of silicon, W/m·°C
η overall performance factor
ηfin fin efficiency
σ area ratio