Rectangular flat plate#

Using pySailingVLM a rectangular flat plate was modelled with a span of 10 units and a constant chord of 1 unit. The geomery of sail is discretised into 16 spanwise and 8 chordwise panels. The free stream strength is 1 unit and the angle of attack is \(10^\circ\). Then the lift coefficient slope \(C_{L,\alpha}\) was compared with the results derived from [AH13] and analitically derived results (using equation (4)) in the table below.

(4)#\[C_{L,\alpha} = \frac{2\pi}{1+ \frac{2}{e_w AR}}\]

where: AR - aspect ratio \(e_w\) - span efficiency factor

Table 3 Results from pySailingVLM code of the rectangular flat plate of a lift coefficient slope.#

Analitical

[AH13]

pySailingVLM

\(C_{L,\alpha}\)

4.896

4.786

4.846
../../_images/flat_cp.png

Fig. 17 Pressure coefficients for flat plate. Figure generated by pySailingVLM.#

Results#

The results obtained by pySailingVLM are aligned with analitical formula and numerical data [AH13]. The analytically derived results assumes the span efficiency factor of 0.8.