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. 2023 Feb 23;16(5):1838. doi: 10.3390/ma16051838
PIV particle image velocimetry
SHS superhydrophobic surface
RS riblet surface
SS smooth surface
Re Reynolds number
u flow velocity (m⋅s−1)
L length (m)
ν kinematic viscosity (m2⋅s−1)
‖‖F Frobenius two-norm of the matrix
τxy+ dimensionless Reynolds shear stress
ρ water density (kg⋅m−3)
u′ fluctuation velocity of streamwise (m⋅s−1)
B antisymmetric tensor
A symmetric tensor
ε a positive parameter
Q max maximum value of the Q vortex method
U dimensionless flow velocity
S Ω total number of a strength vortex
S total number of all strength vortices
u + dimensionless velocity
y + normal dimensionless position
κ Karman constant
u* wall friction velocity (m⋅s−1)
y normal distance (m)
τ frictional resistance of the microstructured surface (N⋅m−2)
τ 0 frictional resistance of the smooth surface (N⋅m−2)
v′ fluctuation velocity of normal (m⋅s−1)
u free flow velocity (m⋅s−1)
DR drag reduction rate (%)