I'm doing a wind tunnel experiment and I'm trying to plot the pressure coefficient distribution for the upper and the lower surfaces of an airfoil based on experimental data. The airfoil chord is 150 mm.
I have the pressure static ports located at:
Upper static port #: 1 3 5 7 9 11 13 15 17 19
X-coord [mm]: 0.76 3.81 11.43 19.05 38.00 62.00 80.77 101.35 121.92 137.16
Lower static port #: 2 4 6 8 10 12 14 16 18 20
X-coord [mm]: 1.52 7.62 15.24 22.86 41.15 59.44 77.73 96.02 114.30 129.54
And the pressure readings for each static port are the following:
Static port #: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Pressure [kPa]: -0.034 -0.113 -0.087 -0.172 -0.136 -0.168 -0.148 -0.17 -0.15 -0.156 -0.133 -0.15 -0.124 -0.139 -0.12 -0.13 -0.13 -0.13 -0.117 -0.12
I also have Pitot velocity reading: $U_\infty=12.26$ m/s, density: $\rho=1.225$ kg/$m^3$ and $p_\infty=101.3$ kPa.
I know that to compute the pressure coefficient for each static port, I have to use: $$c_p(x,z(x)) = \dfrac{p(x,z(x))-p_\infty}{1/2\cdot \rho_\infty \cdot U_\infty^2 }$$
I coded a MATLAB script that allows me to compute this equation for the upper part of the airfoil using the odd static ports readings, and for the lower part of the airfoil by using the even static ports readings of pressure.
But I'm having two problems that are a bit strange,
Pressure coefficient must be dimensionless. I have the pressure values in "kPa" and the problem is that if I convert them into "Pa" by multiplying a 1000 factor. The pressure coefficients values will not be around 1, which is what I'm used to seeing in the Cp-chord graphs. How can I fix this? I'm not sure it's correct to use a dividing 1000 factor to compensate this effect.
When I plot the the result I obtain the following result, which is not very similar to the typical Cp-chord plots I have seen in experiments. Am I doing something wrong? Or is it a problem of the experiment in which I obtained bad data?
Could you help me solve my doubts by giving me a little help based on your experience? I'm not asking to get the problem solved, I just want to know how to do it properly.