3.1. CFD Aerodynamic Results
In the first CFD simulations, the clean wing versions — LSHE and HSLR — were analyzed to obtain all aerodynamic coefficients and lift-to-drag,
L/
D ratios, a direct measure of aerodynamic efficiency.
Figure 9 shows the results for the clean wing versions of the aircraft. The lift coefficients show expected trends, where the LSHE has a lift-curve slope of 0.078, which is greater than the HSLR slope of 0.070. That is associated with their difference in aspect ratio, LSHE having a slender wing with smaller sweep. The stall angle of attack for the HSLR variant is approximately 11 degrees, with a very smooth stall behavior, as expected in low aspect ratio wings. Meanwhile, the LSHE variant shows an interesting behavior at
α = 8°. Lift grows linearly up to that point, after which there is a sudden loss in lift and recovery at
α = 9°. Past this angle, lift grows non-linearly, a trend shown in other aerodynamic coefficients; there is great increase in drag generated for the LSHE variant and drastic change in pitching moment. The maximum
L/
D ratio is 19.68 for LSHE, at
α = 6° and 17.86 for HSLR, at
α = 6° as well. The base drag coefficient for both variants isvery similar, approximately 0.014 for LSHE and 0.013 for HSLR.
To investigate the reason for the loss in lift seen in the low-speed variant, pressure fields were plotted for the clean wing at
α = 8°, where the lift coefficient is still within the linear portion of the graph, and
α = 9° for comparison. The results are shown in
Figure 10. The pressure plot shows that at the higher angle of attack, the pressure distribution at the interface between the wing panel and the center body becomes more homogeneous, increasing the pressure closer to the leading edge of the wing. Such a phenomenon is an indication that flow separation occurs in this condition, which is revealed in the turbulence plot shown in
Figure 11.
While at α = 8°, the turbulence intensity does not reach above approximately 3%. However, at α = 9° it surpasses the 5% mark, indicating a highly turbulent state. This may be caused by the change in curvature between the center body and the wing at that location 3on the UAV.
The second set of simulations involved analyzing the more detailed versions of the wings, with winglets and motor nacelles. The nacelles are expected to add drag penalties to the aircraft, and it was uncertain whether the first winglet designs created during the conceptual design phase would provide a perceivable benefit in aerodynamic efficiency. The first simulations were run with the LSHEWN model, with the lowest cell count. The results show good agreement with the data previously obtained for the clean wing, achieving the same lift curve slope at the linear section of the graph and similar lift decrease past that section. However, for the LSHEWN version this drop in lift is smoother than what is observed for the LSHE.
The CFD analysis for the high-speed variant with winglet and nacelle revealed similar trends in the aerodynamic coefficients associated with flow separation facilitated by the nacelle. However, in this case the change in lift generation was not as abrupt as seen in the low-speed variant. There is no decrease in lift coefficient value with angle of attack, but rather a change in lift curve slope. These results are also shown in
Figure 9. The drag coefficients and drag buckets of all wings are very similar up to
CL = 0.4, then there is a significant change in drag as seen in the drag polar. For the same lift coefficient, the drag on the HSLRWN wing is much higher than for the LSHEWN wing, due to the flow separating earlier on the former. These differences are reflected on the lift-to-drag ratios seen on both variants. While the maximum
L/
D for HSLRWN is approximately 16.5, at
α = 5°, LSHEWN attains an
L/
D of 19.0, at
α = 6°, or 15.1% higher aerodynamic efficiency. The lift coefficients for the cruise condition for LSHE and HSLR are 0.412 and 0.204, respectively, which indicates that the LSHE variant operates very near its optimal point. The HSLR variant, however, is operating approximately at a
L/
D ratio of 12.5, which is 24.3% less than desired. Considering this, it is necessary to further reduce the wing dimensions and planform area accordingly. The pitch moment coefficients in
Figure 9 show even greater difference between variants, because the aerodynamic center location of the wing with the center body was uncertain, having been estimated with the simple graphic method [
29]. The complex geometry of the center body, as well as the use of 3 different airfoils across total span of the aircraft makes it difficult to estimate the correct aerodynamic center location accurately. Wind tunnel experiments were used later to find this location.
Similar to the analysis done on the clean wing low-speed geometry, pressure plots for the detailed wings were created to show what causes the changes in lift production on the top suction surface of the aircraft.
Figure 12 presents those results. The low-speed variant shows a big region of homogeneous pressure around the motor nacelle at
α = 9°. When comparing this pressure plot with
Figure 10, it is suspected that the addition of the nacelle results in two separation regions: one associated with the wing - center body interface and the other associated with the nacelle alone. On the high-speed variant, however, the pressure change region is much smaller at
α = 6°. This difference may be due to the smaller aspect ratio of this wing, which produces flow re-circulation from the wing tips to reduce separation.
Figure 13 shows turbulence intensity plots at certain wing span locations where the pressure change is significant. They indicate that high turbulence occurs in the low-speed, high- endurance aircraft, with values of 6% and 5% at
y/
b = 14% and
y/
b = 43%, respectively. For the high-speed, long-range aircraft, turbulence levels can reach 9%.
Observing the CFD results, it is necessary to make further changes to the high-speed variant in order to operate near its maximum efficiency point. Flow separation occurring past the linear portion of the lift coefficient graphs was investigated further, using wind tunnel experiments to confirm aerodynamic results and to determine if flow behavior is similar. The simulations did not include propeller downwash effects, which can have a very important role in energizing the flow, keeping it attached to the wing.
3.2. FEA Results
Results were obtained for maximum load factor conditions: at corner speed with maximum
CL angle of attack, and for dive speed, or the highest speed that the aircraft should experience.
Figure 14 (a) and (b) show the Factor of Safety (FoS) plots for LSHE at corner speed and HSLR at dive speed, respectively. Computing factors of safety based on the Tsai-Wu failure criterion for each of the cases revealed that LSHE is very close to its strength limit in both conditions, with FoS being 1.09 and 1.16 for corner and dive speeds, respectively. The HSLR variant presents much higher FoS due to its lower aspect ratiowing, despite the higher operating flight speeds. The FoS for that variant is 2.61 for cornerspeed and 2.48 for dive speed.
It was found that in all load cases studied, the minimum factor of safety occurs in the same region of the aircraft, the front spar where it meets the nacelle. Due to its printing orientation, the internal structure is stiffer than the wing skin in the
Y direction, which explains the higher stresses in the spar. In addition, the rounded nacelle contour in the spar acts as a stress concentration, contributing to peak stress at one of either sides of the nacelle.
Figure 15 shows the plot of the stress component
S1 in the internal structure for LSHE corner speed and HSLR dive speed cases. Corresponding maximum stresses are summarized in
Table 6. The maximum wing tip displacements,
δtip are 25.4 mm for the low-speed and 8.8 mm for the high-speed variant. The higher displacement on the lowspeed aircraft was expected, given its greater wingspan, although higher speed operation would subject the aircraft to excessive deformation and stresses leading to a prohibitive factor of safety.
The reaction forces were computed to check the accuracy of the imported load in each case, since it consists of the pressure data interpolated from the CFD mesh into the FEA mesh. These reaction forces can be converted into the lift being produced in the condition under analysis, as shown in
Table 6.
LR is the lift calculated from the reaction forces
RX and
RZ, and
Ltrue refers to the actual lift in the flight condition, calculated from aerodynamic coefficients in
Figure 9. The reaction lift is 8.3% higher than actual lift in the LSHE dive case, and 6.2% higher in the HSLR corner speed case.
3.3. Experimental Results
The aerodynamic results are shown in
Figure 16. The lift coefficient curves in (a) indicate the LSHE variant produces more lift than its counterpart. The maximum lift coefficient,
CLmax for this variant is 0.97, at
α = 13°, whereas for the HSLR variant it is 0.91, at
α = 14°, a 6.1% smaller
CLmax. The design lift coefficients for cruise speed on HSLR is 0.21, at an angle of attack of
α = 2.0°, while on LSHE it is 0.42, at
α = 4.0°. The difference in shape of the lift coefficient curves is in accordance with wings that have different aspect ratios, with the lower aspect ratio HSLR variant having a smoother stall region, as well as higher stall angle of attack.
The drag polars in
Figure 16 (b) show both variants produce similar drag up to
CL = 0.48. For higher
CL, where induced drag effects predominate, the LSHE variant produces less drag due to its higher aspect ratio. The base drag coefficients for LSHE and HSLR are 0.016 and 0.015, respectively. The lift-to-drag ratio curves in
Figure 16 (c) indicate the LSHE variant has a maximum
L/
D of 18.2, or 12.6% higher than HSLR, with
L/
D = 16.2. At its cruise speed, LSHE operates with
L/
D = 15.9, which is 29.9% more aerodynamically efficient than HSLR at its cruise speed, with
L/
D = 12.3. Due to its higher cruise speed, the high-speed variant operates further from its maximum
L/
D, around % less than optimal, which indicates the aircraft should have its wing area reduced accordingly. The low-speed variant operates closer to maximum
L/
D, although 12.5% less than optimal.
The pitching moment coefficients are shown in
Figure 16 (d). For the HSLR variant, it does not change considerably with angle of attack for the linear range in the lift curve. Past
α = 13°,
CM decreases abruptly due to stall propagation effects throughout the wing. This behavior shows the aircraft pitches down during stall, which is a desirable tendency. The LSHE variant presents considerable change in
CM with angle of attack due to the point of measurement lying behind the aerodynamic center of the aircraft. This is demonstrated by the positive slope of the
CM vs
α curve.
When comparing experimental and computational results at cruise angles of attack, HSLR and LSHE produce 26.9% and 18.8% higher
CL than predicted with CFD. This difference increases at higher angles, with
CL for HSLR and LSHE being 52.6% and 57.7% higher at
α = 12°. The drag coefficient remains very similar at the lower
CL region of
Figure 16 (b), with HSLR showing 19.0% higher
CD than CFD results at cruise condition, whereas LSHE experimental results show 33.6% higher drag. Above
CL = 0.4 for HSLR and approximately 0.6 for LSHE, the drag from experiments is much smaller, since the early separation shown in the CFD model does not occur. This causes the lift-to-drag ratio of the variants to diverge past
α = 5° (HSLR) and 7° (LSHE).
The experimental aerodynamic coefficients show a considerable difference from the CFD results, which can be attributed to the challenges in modeling turbulence accurately–particularly in transitional flow. The reduction in lift slope predicted from CFD is not present in the experimental data, which points to the k-
ω SST model’s tendency to over- predict flow separation regions [
30]. The inlet boundary condition assumptions and flow domain size in the CFD analysis also contribute to the difference in results. The decay of turbulence from the inlet to the aircraft results in very low turbulence intensity at the free-stream close to the aircraft, as opposed to real conditions experienced in the wind tunnel [
31]. The CFD incoming flow, as shown in
Figure 11 and
Figure 13, is perfectly laminar upon reaching the aircraft geometry, while recent measurements from a different workhave shown stream wise turbulence intensity at the center of the test section is 1.2% at an average flow velocity of 10.85
m/
s [
32]. Higher-than-expected turbulence intensity delays flow separation in the wind tunnel model, leading to higher lift coefficients for both variants and separation phenomena of different behavior from the CFD results. Wind tunnel experiments on a 2-D wind turbine blade have shown higher inlet turbulence intensity can result in lift increase of up to 46.2% [
33], suggesting that this effect is at play in the wind tunnel tests, in combination with increased 3-D effects from the finite wings, leading to higher
CL and
CD.
Control surface effectiveness in trimming is shown in
Figure 17. The elevon deflection angle is defined as positive for a pitch-up attitude. For the HSLR variant, the elevon is capable of trimming the aircraft with a deflection of
δe = 3°, and it can provide a wide range of
CM, from approximately 0.10 at
δe = 19° to 0.08 at
δe = 25°. For the LSHE variant, since its neutral point could not be found, a positive pitching moment exists at
δe = 0. Trimming the aircraft in this condition would require a deflection of
δe =2.4°. The elevon is capable of providing a minimum
CM of -0.03, which is not as low as with the HSLR variant. However, it is believed that the pitch-down moment would be higher if measured at the adequate location. In future experiments, the center body must be altered to allow more travel for load cell adjustment.
The thrust experiment shows that the installed thrust is lower than available data measured for the same propeller in [
34], with the difference being up to 23% at
J = 0.6. Assuming the difference in thrust is due to installation effects and the wind tunnel environment, the experimental data was used as a starting point for propeller efficiency estimates. Due to limitations in the setup, higher advance ratios were not tested. To evaluate the installed thrust at higher advance ratios,
CT was considered to be 23% lower than the available data. An extensive experimental database on small propellers is found in [
35].
Figure 18.
Thrust coefficient vs advance ratio, comparison with available data [
35].
Figure 18.
Thrust coefficient vs advance ratio, comparison with available data [
35].
At cruise, the thrust coefficient required from the aircraft and the advance ratio are given by,
substituting the advance ratio into
CT and writing drag as a coefficient lead to,
Using this equation is an iterative process, since choosing a value for advance ratio
J allows for calculation of the thrust coefficient at cruise, but not necessarily will
CT match the real performance of the propeller at such advance ratio. Moreover, each Switchblade variant has a different cruise drag, wing area, and advance ratio due to different cruise speeds, which will result in different propeller efficiencies
ηp. Using this equation for HSLR,
J = 0.74 and
CT = 0.013; for LSHE,
J = 0.68 and
CT = 0.023. Propeller efficiencies at those conditions are 58% and 68%, respectively.
The aircraft performance was evaluated in terms of the endurance and range for both variants by using the equation for electric propulsion derived in [
36]:
Where
E is the endurance in hours,
Rt is the battery hour rating,
m is a discharge parameter,
V is the voltage and
C is the battery capacity in Ampere-hour, where a capacity of 10 Ampere-hours is used on the Switchblade and calculations. The results from equation 8 are 528 shown in
Table 7.
The low-speed, high-endurance variant has an endurance of 1.8
h, enabling it to attain a range of 131
km. The high-speed, long-range aircraft has reduced endurance due to its lower propeller efficiency and suboptimal
L/
D ratio at cruise. At a higher speed, the power drawn from the battery is higher, thus reducing operating time. In this case, the endurance and range are 0.49
h and 59
km. Despite the lower endurance, the HSLR variant is capable of operating outside of the flight envelope of the LSHE, as shown previously in
Figure 7. This signifies it can sustain a 66.7% higher cruise speed for time-critical tasks without exceeding load limits established in the maneuver diagram. Additionally, to obtain better performance from higher-speed flight, the HSLR variant must be further modified to bring its operating point closer to the maximum
L/
D ratio. This could be attained by resizing its wing, causing it to fly at higher angles of attack, therefore at higher efficiency.