全國中小學科展

一等獎

二維顆粒流體崩塌倒序現象之探討

本研究探討斜面上二維顆粒體流動的現象,分析各種變因(軌道盒傾斜角度、軌道盒側壁傾斜角度、軌道盒出口大小、顆粒粒徑)對斜面顆粒流性質的影響: 一、 顆粒流圖形與表層崩塌角 (一)顆粒流圖形: 「V字下滑」 (二)表層崩塌角: ‧正向關係: 軌道盒傾斜角 ‧負向關係: 軌道盒側壁傾斜角、粒徑 ‧ 未知關係: 出口大小 二、 中央線上目標顆粒的落下時間 ‧正向關係: 軌道盒側壁傾斜角度 ‧ 負向關係: 軌道盒傾斜角度、出口大小 ‧未知關係: 粒徑 三、 探討傾斜軌道盒顆粒流中,崩塌以及倒序區域分布圖形 ‧起始位置較高且較遠離中軸線的顆粒將可能發生「起始位置較高的顆粒卻較早落下」的倒序現象; 依照顆粒實際發生的崩塌類型,能將軌道盒分為穩定區、內崩塌區及表層崩塌區。 ‧崩塌區域的分佈受顆粒粒徑與軌道盒側壁傾斜角影響。

鑽石石墨化及氧化速率之研究

廉價取像設備之色彩校正

The applications of digital image are rapidly growing with the developments in computer technology. This enforces digital image industry to produce devices with better quality. Despite the today’s advanced level of technology, it is known that input and output devices somewhat cause color distortions. International Color Consortium suggests that we can use ICC profile to overcome the problem mentioned above. But the related hardwares and softwares are too expensive for the general users. In this study, we base on the ICC profile’s mechanism to develop a color calibration method for low cost image acquisitions. From the theoretical and experimental results, it can be demonstrated that our method appears satisfactory.數位影像的應用隨著電腦資訊科技的快速成長而蓬勃發展,這也促使著數位影像工業的相關產品漸漸地普及與廣泛地使用,時至今日,雖然有著很好的製造技術,但是任何數位影像設備均無法完美無失真地將原有的色彩呈現出來或紀錄下來,或多或少都有色彩偏差的存在,尤其在價格越低廉的設備上更為明顯。雖然可以依據國際色彩協會的建議,使用每項設備的專屬色彩描述檔來克服色差的缺點,但是用來產生色彩描述檔的相關軟硬體均價格昂貴,實非一般使用者所能承受的負擔,本篇研究以色彩描述檔的色彩轉換機制為基礎,發展出針對廉價取像設備的色彩校正程序,無論從理論數據上的探討以及實際影像上的測試看來,我們的校正方法確實有效,讓原有的色彩能精準地重現。

乒乓球彈跳運動研究

為了測量測量乒乓球彈跳,設計了測量的方法,基本構想是將乒乓球在木板上的彈跳(接觸與離開)視為開關的ON與OFF,將訊號產生器所產生的電訊號接到乒乓球上,木板接到電腦錄音輸入端,當乒乓球與木板接觸時,形成通路訊號進入電腦,由錄音程式加以記錄,反之為斷路,記錄停止。但如何將乒乓球、木板由不能導電的絕緣體轉換成可以導電的導體,而又不能影響乒乓球原本彈跳性質?想出了用2B鉛筆(含石墨)將乒乓球、木板塗黑轉變為導體的方法,解決這個問題後,成功測量出以下乒乓球彈跳時各項的記錄:1.彈跳次數2.碰撞作用力3.接觸時間4.飛行時間。最後以力感測器直接測量碰撞作用力,來驗正此實驗正確性。

毛細管內液體流速之探討及黏度測量方法之創新

有一次上實驗課時看到鄰桌的同學正以實驗室的毛細管吸吮一瓶\r 葡萄汁,每當他吞嚥時,毛細管內殘餘的葡萄汁竟然以近似等速的狀\r 態降回果汁瓶裡,這似乎違背了重力加速度的常理,是毛細管的影響\r 嗎?還是葡萄汁特有的現象?這與毛細管插入葡萄汁的深度有關嗎?\r 這一連串的問題皆因升學壓力而無暇深究。\r 升上高中的那年暑假,我參加了學校舉辦的資優科學營,在物理\r 實驗課中恰好遇到了以毛細管測量液體黏度的實驗,使我有機會深入\r 思索毛細管內液體流速的問題。這個實驗很不好做,要調整兩個定高\r 容器,使水平毛細管兩端產生固定的壓差,讓流經管內的液體為等速\r 的流動。大家手忙腳亂地操作了近三小時,測出來的黏度不僅和老師\r 公布的答案差距甚大,而且各組同學所測得之結果也大相逕庭,不過\r 我們都體驗到了液體黏度對流速的影響。\r 實驗的誤差為什麼那麼大?扣除人為操作誤差後儀器本身還有多\r 大改進空間?有否更精簡的方法測量黏度?毛細管中液體的流速真\r 是固定的嗎?把毛細管斜置或是垂直架置,流速還會固定嗎?重力不\r 會影響流速嗎?若流速真為固定的,如何控制或改變流速呢?是否可\r 以利用流速來測出液體黏度?\r 由於我對這個實驗的專注,在學校選修的專題課程中即以此為題\r 目做長期的研究,在老師的指導下,我和同組同學不停地查閱有關書\r 籍及整理資料,漸漸研究清楚原理後定出實驗計畫,並開始購買材料\r 與工具,長期地動手實驗及改進,兩年來我們利用毛細管中液體的等\r 速及不等速流動的特性,發展出了兩種既精簡又準確的液體黏度測量\r 法,以下就是整個研究及創作的過程。\r \r \r The viscosity is one of the most important parameters of the fluids. In conventional viscosity experiments, capillary-based viscometers are widely adopted because of their user-ready devices and moderate prices. However, to accurately measure the viscosity, the fluid velocity must be kept constant; otherwise, the fluctuation may cause the serious deviation. Besides, traditional capillary viscometers often require a long time to make the measurement. This research aims at exploring the capillary fluid mechanics and developing accurate and rapid methods to measure the viscosity. In this study, we developed two creative viscosity-measuring methods, the gravity sloping helical structure and the gradational liquid-level difference, and constructed two cost-effective capillary viscometer prototypes accordingly. The gravity sloping helical structure employs a long helical capillary as the flow channel and utilizes the gravity force to keep the fluid velocity extremely constant. The highlight of this method is that we can see the fluid flow through the capillary directly. On the other hand, the gradational liquid-level difference method uses the pressure sensors to precisely monitor the liquid-level difference, which drives the flow in the capillary, and allows automatic measurement of viscosity. Compared with computer simulation, the experimental results agreed well with the theoretical values. The gravity sloping helical and gradational liquid-level difference methods achieve 0.5% and 0.8% accuracy respectively. In addition, the automation of viscosity sensing also greatly facilitates the viscosity measurement. Furthermore, these two methods are both valuable for incorporating into educational purpose and industrial application.

Synthesis and Characterization of Niobium Nitride Nanowires

This project aims to explore the potential of inexpensive in-situ deposition of niobium nitride nanowires to improve electrical conductivity. Transition metal nitrides are well known for attributes such as superconductivity, high melting point, simple structure as well as excellent electrical and thermal conductivities. In particular, niobium nitride possesses exceptional hardness and high reflectivity, as well as being a stable field emitter, making it well suited to applications as a cold cathode material. Niobium nitrides are formed by the uptake of nitrogen by niobium. This is achieved by the exothermic formation of an interstitial solid solution of nitrogen atoms in the bcc lattice of the niobium. Existing research has established the possibility of preparing niobium nitride by heating niobium in nitrogen or ammonia over a range of temperatures, by heating niobium pentaoxide and carbon in the presence of nitrogen as well as by chemical vapor deposition of other niobium compounds, nitrogen or hydrogen. For the purpose of this study, a two-step process was used for synthesis. The benefits of a two-step process over direct ammonolysis are apparent, from the greater degree of freedom pertaining to parameter determination. Additionally, characterization of niobium pentaoxide nanowires synthesize under similar conditions is also made possible by terminating the reaction earlier. NbN nanowires were synthesized by annealing niobium pentaoxide nanowires at 850 oC for 2 hours. Subsequent characterization was done using Raman Spectroscopy, X-ray Diffraction (XRD) and Scanning Electron Microscopy (SEM). The presence of NbN nanowires via the conversion of Nb2O5 was ascertained by the absence of sharp peaks at 1000 cm-1 for Raman Spectroscopy and XRD plots. Field emission (FE) properties and electrical properties of NbN nanowires were then measured. NbN nanowires were found to have a high turn-on voltage, stable and relatively good field emission characteristics, demonstrating its potential as a cold cathode material. No current saturation was observed for an applied electric field of 0 to 6.0 V/ μm (5). This suggests a low degree of contact resistance for nanowires produced by this method of annealing, since the passage of electrons is not obstructed. Hence there will only be a small voltage drop between the SiO2 substrate and NbN nanowires. Samples containing NbN nanowires were dislodged by ultrasound to form an aqueous suspension of nanowires. A drop of suspension was dripped onto gold-finger substrates, and current-voltage (I-V) measurements of resultant nanowire bridges were taken. NbN nanowire bridges display Ohmic properties, in comparison with Nb2O5 nanowires that are semiconducting. Nanowire bridges obtained by heat-drying were denser and had better electrical properties than those obtained by evaporation to dryness. NbN nanowire bridges display Ohmic properties, in comparison with Nb2O5 nanowires that are semiconducting. Further work would include varying the cooling processes to observe any changes or deformation. Additionally, niobium nitride nanowires can be hybridized with carbon nanotubes (CNTs). A more in-depth comparison between niobium oxide and niobium nitride nanowires is also proposed, along with exploration of the nitrification of other transition metals.

HOW HIGH ARE YOU REALLY JUMPING?

Purpose High-jump athletes are not always aware of the exact height they are jumping. They know that they are clearing the height set by the bar, but not their specific height, which may in fact be a record without them even knowing it. The purpose of this project is thus to design and make a device that will enable high-jump athletes to know exactly how high they are jumping. Procedure Background research was conducted and it was confirmed that no similar products are currently available. Possible types of sensors and micro-controllers were then investigated and then both a prototype and model were built to test the concept. Appropriate changes and adjustments were then made to the design until all func-tions were working accordingly. With the assistance of an experienced software de-veloper, a program was designed to communicate the data collected from the sen-sors into a graphical user interface. Results Many variables, contributing to the accuracy of the obtained results, had to be tak-en into consideration. These variables include interference with the sensors, which resulted in less accurate readings, as well as weather conditions. The latter was found not to have as drastic an effect on the results. Conclusion A device that enables athletes to measure the true height they are clearing was suc-cessfully designed and created. This device will thus be able to help motivate athletes by measuring their true capa-bilities.

Design and Implementation of a Spherical Induction Wheel Motor in Electric Vehicle

本研究提出以「球型感應馬達(Spherical Induction Motor) 」直接作為電動車球型輪胎的想法。四顆球型輪胎以三軸自由度旋轉的方式,將提供電動車更高的靈活性。 本研究聚焦在「球形感應馬達」原型機的開發。透過四個方法:等效電路理論、有限元素分析、實作與實驗,研究了球型感應馬達的四個面向:電機設計、電機實作、電機驅動與電機控制。以電機設計、電機實作證明了構想的可行性,並在建立了球型感應馬達完整的電機機械理論後,進行了電機驅動與電機控制。 最後,本研究實作出一架可運轉的球形感應馬達,並在建立完整的馬達數學模型後,以V/F控制法完成轉速與轉向的開迴路控制。本研究希望這部球型感應馬達,未來將能應用在以球型輪胎為動力裝置的電動載具上。

以彈性體模型評估心血管疾病之新方法初探

我們根據物理學的彈性體振動模型發現:主動脈硬化程度可由測量主動脈相對於心臟運動的延遲時間分析得知。我們除了由樣品之超音波影像分析驗證此一觀念之外,還用一自製模型進行實驗,模擬血管厚度對延遲時間的影響,實驗結果與理論相吻合,證實了彈性體模型之可靠性。在診斷方面,此方法可用目前臨床使用的心臟超音波儀直接進行測量,使得它具有方便、普遍的優點;而且可由體外的胸前超音波掃描(TTE)進行觀測,具有非侵入性、免除受測者的不適及避免副作用,此外,能定量分析、早期診斷、鑑別度高也是此方法重要的優點。According to the elastic oscillation model of physics, we found that the aorta stiffness could be obtained by measuring the delay time of the aorta relative to the cardiac motion. The idea was confirmed by an analysis of the echocardiograph images of several samples. A home-made mechanical model was also employed to simulate the effect of cardiovascular thickness. The experimental results fitted the theory very well, verifying the feasibility of the elastic oscillation model. This measurement could be carried out with the conventional echocardiography instruments, making it convenient and common. Furthermore, the delay time could be measured with TaransThoracic Echo (TTE) instead of TransEsophadeal Echo (TEE). This non-invasion can avoid patients’ discomfort and side effect during medical process. The quantitative measurement also enables that the diagnostics can be progressed in advance.

The unknown gene interacts with dll , abdA,Ubx

We operated the misexpression screen between the EP lines and the pattern lines with the genotypes of eq1>dll, eq1>abdA, eq1>Ubx, eq1-GAL4, ey-GAL4 or dpp-GAL4. After the screening, we found that five of these 1,800 strains of filial generation had special phenotypes. It had shorter antennae and defects in the anterior equatorial region of eyes. We used plasmid rescue and IPCR to sequence the certain target gene, and found that it was escargot, abbreviated as esg. To identify when, where and how the overexpression of escargot induces such phenotype, we operated the staining of eye-antenna disc in third-instar larval period of wild type, eq> esg×UAS-GFP and eq>GFP with anti-dll, anti-caspase3 and anti-esg. The result shows that escargot cannot be detected before puparium formation. But the expression of dll, a gene controls the eye development, was reduced in the eye disc. We except the overexpression cause the defect of distal antennae and the anterior equatorial region of eyes mainly in the 3-day-long pupal life.我們用異位表現法篩選出和eq1>dll、eq1>abdA、eq1>Ubx、eq1-GAL4、ey-GAL4或dpp-GAL4 這些pattern lines有交互作用的EP lines。在這1800種的果蠅子代品系中,有五種具有特殊的性 狀。它們具有觸角短化以及複眼前緣中央區有缺刻的現象(形成心型眼)。我們使用質體救援 法以及IPCR的方法來定序這段未知基因序列,發現這是一個叫做escargot的基因(簡稱esg)。 為了了解過分表現此基因會造成何種分子影響,以至於產生此種性狀,因此我們使用 anti-dll 、anti-caspase3 和anti-esg 進行野生型、eq>esg×UAS-GFP 和eq>GFP 三齡幼蟲的 eye-antenna disc的螢光免疫染色。結果在幼蟲成蛹前都沒有偵測到esg的表現現象;不過在eye disc中,控制眼睛發育的基因dll的表現有被抑制的現象。因此我們推測過分表現esg的過程因 該是發生在為其短短三天的蛹期。也就是說,這種表型應該是在化蛹後形成。