Pitot-probe measurements are taken through a bound- ary layer at the trailing-edge of a flat plate of length L. The freestream velocity is U. The boundary layer is tripped at the leading-edge using a roughness strip to ensure that the flow is turbulent from the leading-edge. The y position of the measurement above the wall (in mm) and measured total pressure Po (in Pa) are given in a .csv file. The static pressure within the wind tunnel is 101325 Pa. The fluid density and kinematic viscosity are measured to be p = 1.225 kg/m³, v = 1.5x 10-5 m²/s. The data is given in file1 pressure.csv (iii) Present a labelled plot of the velocity profile where the distance from the wall (in semi-log x-axis) and the streamwise velocity (in linear y axis) are non- dimensionalised in inner units (skin-friction velocity and kinematic viscosity). Indicate the extent of the viscous sub-layer and the log layer in the plot. (iv) The local skin-friction coefficient is given by Cf Cf.x 0.059, where Re is the Reynolds num- ber based on U and distance from the leading edge of the plate. Using this relationship, determine the length L (in m) of the flat plate. Rel/5, =

Elements Of Electromagnetics
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y (mm) Po (Pa)
0 101325
0.03 101325.153
0.09 101326.378
0.15 101328.828
0.21 101332.503
0.27 101337.403
0.6 101348.887
1.55 101358.839
2.5 101364.528
3.45 101368.634
4.4 101371.895
5.35 101374.629
6.3 101377.002
7.25 101379.115
8.2 101381.03
9.15 101382.793
10.1 101384.435
11.05 101385.978
12 101387.441
12 101387.441
19.091 101396.814
26.182 101404.815
33.273 101412.065
40.364 101418.55
47.455 101424.037
54.545 101428.261
61.636 101432.34
68.727 101432.34
75.818 101432.34
82.909 101432.34
90 101432.34
Pitot-probe measurements are taken through a bound-
ary layer at the trailing-edge of a flat plate of length L.
The freestream velocity is U. The boundary layer is
tripped at the leading-edge using a roughness strip to
ensure that the flow is turbulent from the leading-edge.
The y position of the measurement above the wall (in
mm) and measured total pressure Po (in Pa) are given
in a .csv file. The static pressure within the wind tunnel
is 101325 Pa. The fluid density and kinematic viscosity
are measured to be p = 1.225 kg/m³, v = 1.5×10−5 m²/s.
data is given in file1 pressure.csv
(iii) Present a labelled plot of the velocity profile where
the distance from the wall (in semi-log x-axis) and
the streamwise velocity (in linear y axis) are non-
dimensionalised in inner units (skin-friction velocity and
kinematic viscosity). Indicate the extent of the viscous
sub-layer and the log layer in the plot.
(iv) The local skin-friction coefficient is given by
Cf
where Re is the Reynolds num-
Cf.x
=
=
The
0.059
1/5,
Rex
∞
ber based on U and distance from the leading edge
of the plate. Using this relationship, determine the length
L (in m) of the flat plate.
Transcribed Image Text:Pitot-probe measurements are taken through a bound- ary layer at the trailing-edge of a flat plate of length L. The freestream velocity is U. The boundary layer is tripped at the leading-edge using a roughness strip to ensure that the flow is turbulent from the leading-edge. The y position of the measurement above the wall (in mm) and measured total pressure Po (in Pa) are given in a .csv file. The static pressure within the wind tunnel is 101325 Pa. The fluid density and kinematic viscosity are measured to be p = 1.225 kg/m³, v = 1.5×10−5 m²/s. data is given in file1 pressure.csv (iii) Present a labelled plot of the velocity profile where the distance from the wall (in semi-log x-axis) and the streamwise velocity (in linear y axis) are non- dimensionalised in inner units (skin-friction velocity and kinematic viscosity). Indicate the extent of the viscous sub-layer and the log layer in the plot. (iv) The local skin-friction coefficient is given by Cf where Re is the Reynolds num- Cf.x = = The 0.059 1/5, Rex ∞ ber based on U and distance from the leading edge of the plate. Using this relationship, determine the length L (in m) of the flat plate.
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