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. 2008 Apr 17;8(4):2707–2721. doi: 10.3390/s8042707
m Sensor Mass
xs Sensor Position
b Damping Coefficient
k Spring Constant
Fm Time-Dependent Excitation Force
Ff Time-Dependent Shear Force
Ls Characteristic Length of Sensor
Ly Vertical Penetration Depth of Oscillating Sensor
f Sensor Frequency
xs Sensor Position
b Damping Coefficient
k Spring Constant
Fm Time-Dependent Excitation Force
Ff Time-Dependent Shear Force
Ls Characteristic Length of Sensor
Ly Vertical Penetration Depth of Oscillating Sensor
f Sensor Frequency
a Sensor Amplitude
U Characteristic Flow Velocity Scale
L Characteristic Flow Length Scale
τ0 Mean Wall Shear Stress
ρ Density of Flow
a* Amplitude Ratio
Y* Penetration Depth Ratio
L* Flow/Sensor Length Ratio
ν Kinematic Viscosity
Re Reynolds Number
St Strouhal Number
Hr Hummer Number
x,y Cartesian Coordinates
u,v x and y Velocity Components
u′, v x and y Fluctuating Velocity
x*, y* Normalized Cartesian Coordinates
u*,v* x and y Normalized Fluctuating Velocity Components
u*′, v* x and y Normalized Fluctuating Velocity Components
t Time
μ Dynamic Viscosity
Ue Edge Velocity
X Non-Dimensional Streamwise Coordinate
T Non-Dimensional Time
η Non-Dimensional Vertical Coordinate
P1,P2,P3 Known values in the simplified boundary layer equations
U0 Edge Velocity at t=0
ψ Stream Function
Us Sensor Velocity
P, Q, R Locations Where Differences are Determined in Zig-Zag Scheme
< > Time Average
ω Angular Frequency
Fluctuating Skin Friction
τ Wall Shear Stress
A Peak-to-peak Amplitude of the Sensor
Aτ = 0 Peak-to-peak Amplitude of the Sensor at zero shear stress level