大自然的飛行家--蝴蝶飛行之初部探討

摘要或動機

本研究主要針對蝴蝶之飛行進行探討，研究中主要探討蝴蝶翅膀形狀、身體重量、翅膀面積、展弦比、拍翅頻率及環境溫度對飛行速率之影響，並利用自製之風洞裝置，觀察蝴蝶之翼翅運動，分析通過蝴蝶模型之氣流方向及相關氣動力。研究結果顯示：紋白蝶展翅約4.5~5 cm，平均展弦比(AR)為1.71 ± 0.12，身體重量約為0.06± 0.02 g，翅膀面積約0.0012 ± 0.0003 m²，當紋白蝶身體重量愈重，則翅膀面積愈大(R²=0.9586)。另外，紋白蝶身體重量愈重、展弦比愈小，則飛行速率亦愈快(R²=0.5559、R²=0.4726)。23℃時，紋白蝶飛行速率為1.01±0.24 m/s，當環境溫度愈高(5、16、23℃)，則飛行速率亦愈快(y=0.07x＋0.7733，R²=0.6967)。風洞實驗發現：蝴蝶會逆風而飛，當風洞的風愈強，蝴蝶翅膀拍動角度愈大，且快而持久，仰角也變大(45 度)；蝴蝶翼尖軌跡呈八字形，翼翅運動包含線性平移及旋轉；蝴蝶拍翅時，可在翅上方及前方產生低壓帶，在後方產生高壓帶，以利蝴蝶向前方飛行。另外，翅緣彎曲角度(上反角)愈大，蝴蝶模型之上升高度亦愈高，當上反角60°時，蝴蝶模型之上升高度最高(2.2±0.1cm)。This research approaches the flying ability of butterflies. Our research mainly discusses the weight, aspect –ratio of butterflies, frequency of flapping, and the shape, surface area of butterflies’ wings, and the connection between temperature and flying velocity. More over, we use the wind tunnel which was made by us to observe the movement of butterflies’ wings and analyzed the direction of airflow and aero-elastic which pass through the wind tunnel. Our research shows that Pieris canidia’s length of wings is about 4.5 to 5 cm. The average of aspect –ratio (AR) is 1.71±0.12 . Its weight is about 0.06±0.02 . And its surface area is about
0.0012±0.0003 m ² . The heavier Pieris canidia is, the bigger its surface area will be (R² =0.9586). In addition, the heavier it is, the smaller its aspect –ratio will be (R² =0.5559, R² =0.4726), and the swifter its flying velocity will be. When it is 23°C, the flying velocity of Pieris canidia is 1.01±0.24m/s. The hotter temperature is (5,16,23°C), the swifter it flies (y=0.07x+0.7733,R=0.6967). Accroding to the detect of the wind tunnel’s experiment , the butterflies will fly on luff. When the stronger the wind of the wind tunnel is, the larger the angles of wing’s flap are. And they are fast and
lasting, the elevation also becomes larger (45°). The butterflies’ trochoids of wings mimic the word “eight”, and the movement of wingspan includes parallel movement of linearity and wheel. When butterflies flap, it will amount depression upon and in front of the wings, amounting the high pressure on the back so that butterflies can fly antrorsely. Furthermore, the larger the curvy angle of marginal wings (Dihedral) is, the higher the ascending height of model butterfly will be. When dihedral is 60°, the ascending height of model butterfly is the highest(2.2±0.1 ㎝).

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