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 |
|
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 (%) |