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. 2019 May 9;21(5):480. doi: 10.3390/e21050480
A Tube cross section area (m2)
cp Specific heat (J/kg·K)
Din Tube inner diameter (µm)
Do Tube outer diameter (µm)
f Darcy friction factor
h Heat transfer coefficient (W/m2·K)
k Thermal conductivity (W/m·K)
l Tube length (cm)
Nu Nusselt number
Δp Pressure drop (N/m2)
Pr Prandtl number
Q Volume flow rate (m3/s)
q Heat flux (W/m2)
Re Reynolds number
S˙ Entropy generation rate (W/m·K)
Twi Inner wall temperature (K)
Two Outer wall temperature (K)
u Bulk fluid velocity (m/s)
Greek Symbols
ρ Density (kg m−3)
µ Dynamic viscosity (N s m−2)
φ Nanoparticles fraction (%)
Subscripts
av Average
bf Base fluid
eff Effective
fr Friction
hy Hybrid nanofluids
nf Nanofluid
np Nanoparticles
th Thermal