全國中小學科展

2025年

非對稱反摺溝槽陣列過熱表面之液滴自推性能及冷卻效率

工業中時常會運用噴霧冷卻,以液滴的潛熱變化冷卻高溫表面。因此為了提升高溫噴霧冷卻的效率,本研究基於過往文獻與(Hsu, 2023)共同研究微奈米結構表面ARG上液滴的碰撞運動,並由實驗推論高溫表面蒸氣層和氣泡推力的作用。接著由單一液滴碰撞實驗推導實驗和理論受力模型並進行比較。最後進行單一液滴冷卻實驗並推論連續液滴冷卻實驗結果。本研究發現ARG表面的各運動特性均優於文獻,且利用液滴的受力更全面地了解液滴運動和冷卻效率的關係,更在最後驗證其冷卻效率優於對照組,並發想探討連續液滴冷卻的實驗方法,以更貼合工業上實際的噴霧冷卻。經過此研究,ARG表面能夠實際應用於工業上高溫表面的噴霧冷卻。

利用體外測試方法探討生醫水凝膠與材料表面附著性質之關聯 Investigation of the relationship between biomedical hydrogels and surface adhesion properties using in vitro testing methods

醫療級水凝膠在注入人體後容易因運動行為而產生位移,因此需要體外測試方法來評估水凝膠的附著性,以製備適合不同部位使用的水凝膠。本研究設計兩種測試方法來模擬水凝膠在人體的斜角流動狀態和旋轉流動狀態的位移,藉此推斷水凝膠施打入體內後的變化。本研究採用兩種不同黏性的水凝膠和不同粗糙度表面如人工皮、陶瓷和金屬來模擬人體部位的接觸面,探討水凝膠的附著性質。斜角流動測試下,黏性高的水凝膠在陶瓷和金屬 30°、45°及90°的斜角下幾乎不會流動,黏性低的水凝膠則會隨著角度的增加而流速加快。陶瓷粗糙度最高,水凝膠在其表面上附著性質較強。旋轉流動測試下,高黏性的水凝膠在模擬跑步時都具穩定性,而低黏性則只適用於較穩定的步行狀況。體外測試方法能區分不同黏性水凝膠的附著性質,說明此方法可作為篩選適用的水凝膠的依據。

麩醯胺酸誘導阿拉伯芥的受體表現

自然界中,植物以NO₃⁻和NH4+作為主要氮源,在吸收後轉化為麩胺酸(Glu)和麩醯胺酸(Gln)作為第一產物進行基本生理反應,在我們實驗室先前的研究中,發現Gln會誘導阿拉伯芥側根生長、壓力反應和抗病性,所以提出了一種假說「細胞外的Gln是營養氮源,也是一種“危險訊號”」,藉由可能存在的Gln的受體表現。目前我進行了其中三組受體的測試,分別是wall-associated kinase2(WAK2)、wall-associated kinase3(WAK3)和EF-Tu受體(EFR),WAK家族是穩定細胞壁果膠的受體激酶,然而我們實驗中發現WAK3在wak3 muntant的表現是不穩定的。EFR為接收EF-Tu(elongation factor thermal unstable)的模式辨識受體(PRR),參與活化植物防禦及PAMP-triggered immunity (PTI),efr muntant在Gln的誘導下表現了防禦相關基因與水楊酸生成之相關基因。本研究將有助於深入理解Gln在植物防禦和側根生長中的功能及其調控機制,並為未來的作物改良和病害防治提供理論基礎。

短期睡眠剝奪對小鼠免疫系統的影響

現代社會中,睡眠剝奪已成為普遍問題,人們對其對免疫系統及整體健康的負面影響愈加關注。本研究使用特製的旋轉鼠籠讓小鼠連續72小時保持清醒,探討急性睡眠剝奪對小鼠免疫反應的影響。研究發現NK細胞與脾臟中的記憶CD8 T細胞比例明顯減少,顯示細胞毒性功能受損或記憶免疫反應下降。與此同時,抗炎細胞因子的表達增加,而促炎細胞因子和相關基因的表達則有顯著下調。此外,雖然觀察到B細胞比例有所增加,這可能是免疫系統在細胞免疫功能受損時,維持免疫穩態的反應。這些發現揭示了睡眠剝奪可能抑制免疫系統造成損害。本研究強調適量睡眠對維持免疫平衡的重要性,並指出睡眠不足可能促進慢性免疫問題的發展。在此基礎上,後續研究可探討短期睡眠剝奪與腫瘤及免疫系統的關聯,並延伸至長期剝奪的影響。

Application of Carbon Aerogels in Lithium-Air Batteries

One of the main challenges with today’s batteries is their relatively low volumetric and specific capacities. The highest specific capacity can be achieved with lithium-air batteries, which use metallic lithium as the anode and typically some form of porous carbon as the cathode. To enhance performance, aerogels—among the world’s lightest solid materials—are ideal candidates for cathodes. Resorcinol-formaldehyde (RF)-based carbon aerogels, for example, serve this purpose well. In my work, I utilized two types of carbon aerogels as cathode materials: one derived from pyrolyzed resorcinol-formaldehyde polymer and the other a graphene-oxide-modified version of this carbon gel. I integrated the carbon aerogels I had pyrolyzed into lithium-air batteries to improve the cell’s performance, energy density, and capacity compared to cells using activated carbon. In my research, I examined the pore structure and surface properties of these materials in aqueous media using NMR (nuclear magnetic resonance) relaxometry and cryoporometry, exploring their impact on battery efficiency. I found that the graphene-oxide-containing sample's pores filled with water in a layered manner, indicating a more hydrophilic surface, which suggests a denser arrangement of oxygen-containing functional groups compared to the unmodified carbon aerogel. The pore sizes were reduced after adding graphene oxide, resulting in an increased specific surface area for the sample. Incorporating the reduced graphene-oxide-containing carbon aerogel enabled the creation of a more efficient, higher-capacity battery than with the RF carbon aerogel. This improved performance is likely due to the aerogel’s higher oxygen content and altered morphology. The increased oxygen content provides more active sites for oxygen reduction, meaning that a greater specific power output can be obtained from the battery.

探討手性有機硒催化劑合成與性質

研究指出⼿性有機硫催化劑能催化反應合成出⾼立體選擇性的產物,並有相關的研究指出以同族的硒取代⽽成的催化劑也有類似的性質,我們好奇兩者之間催化能⼒的差異處。本研究探討⼿性有機硒催化劑THSeOBn的合成,並將其應用催化形成氮環丙烷化物及環氧化物以探討其性質。本研究發現相較⼿性有機硫催化劑THTOBn催化,其催化形成氮環丙烷反應的dr 值及反應速率皆有顯著的上升,但其催化形成環氧化物的反應儘管反應速率有上升,但是dr值卻下降。最後本研究提出了關於THSeOBn催化形成氮環丙烷及環氧化物的反應機構。

連續兩個未知數相加減再相乘的極值問題

本研究從2022年APMO第五題的代數題目出發,題目為a1,a2,a3,a4∈ℝ,(4∑k=1)ak2=1,試求出(a4-a1)(3∏k=1)(ak-ak+1)的最小值。我們希望將原問題的四個未知數,希望推廣到n個未知數的通解。我們首先用算幾不等式及其他幾何性質算出了n=2~4的解,其中包括了偏微分求切平面的方法。在研究n的未知數的通解時,我們利用實數的完備性說明最小值一定存在,接著我們利用舉例以及反證法,發現到n個未知數時其最小值會小於0,以及最小值成立時各項相加會等於0,我們運用這些特別的性質,並且使用了各種不等式得出n=2(mod4)的通解。最後我們用拉格朗日乘數可以求出n=k(mod2k)的局部最小值,還有部分相加與相減的關聯性,未來希望能求出絕對的最小值和最大值。

開發共聚凝膠應用於金屬離子之富集吸附與回收

水凝膠被廣泛應用於生醫材料方面,其特性可用來吸收大量溶劑、生物流體,或是吸附水樣中的物質,其中應用於吸附金屬離子以淨水為最具發展潛力。本計畫將N-異丙基丙烯醯胺與幾丁聚醣反應形成共聚物NIPAAm-g-chitosan水凝膠,此合成水凝膠具有 生物可降解性、溫度敏感性,探討不同嫁接程度之共聚物對金屬離子之吸附效率。目前研究從FTIR確認已成功合成出NIPAAm-g-chitosan水凝膠,且膨潤率可高達約900%。此NC水凝膠比幾丁聚醣更具廣泛的pH溶脹範圍,且在150℃高溫下不會熱裂解,顯示其穩定性佳。對於金屬離子的吸附,NC水凝膠的吸附率皆較幾丁聚醣 為佳,對於鈷離子的吸附率更可高達75%,應用在工業廢水的檢測會是一大效益。

臺灣西南部古亭坑層泥岩之古水深變化

二仁溪剖面因受到小滾水逆斷層截切 ,而分為東、西剖面兩部分,東剖面的地層較老西剖面的地層較年輕,故推測該地區東剖面古水深較西剖面深。本研究利用微體化石有孔蟲比例(%P)進行研究,希望能夠探討臺灣西南部沉積盆地的演化,以及二仁溪剖面地區的古水深變化與粗顆粒含量的相關性。但由於本研究使用的樣本並沒有採樣於每一沉積岩層,故臺灣西南部沉積盆地的沉積物供應量與構造抬升的因素仍需進一步的研究。

Wetting Tracing Paper—Fiber Porous Media Curling Behavior and Mechanisms

This research presents a novel approach to understanding the curling and uncurling behavior of tracing paper when exposed to water, identifying limitations in traditional diffusion-based models like Fick’s second law. While Fick's model adequately represents the uncurling phase, where water content is stable, it falls short during the curling phase due to its inability to account for dynamic changes in diffusivity. Our study identifies capillary action, modeled through Richards' equation, as the primary mechanism in the curling phase, where diffusivity varies with water content due to capillary-driven water movement through the paper's porous structure. Experimental data align well with the Richards' equation model, highlighting a saturation point where curvature peaks, governed by evaporation's impact on moisture balance. To simulate this phenomenon, we developed a finite difference approximation scheme based on Richards' equation, discretizing the spatial domain for detailed control over moisture dynamics and incorporating the Robin boundary condition with virtual points. This approach, combined with evaporation considerations, produces simulation results consistent with observed data, emphasizing evaporation’s role in steady-state moisture gradients and the subsequent deformation mechanics. Our findings further reveal that factors like paper thickness, temperature, and salt concentration significantly influence curling behavior. We established linear correlations between peak time and thickness reciprocal, as well as between peak curvature and thickness squared, supporting theoretical models. Temperature affects both peak curvature and curling rate due to changes in viscosity and surface tension, and higher temperatures prevent full uncurling due to sustained evaporation effects. Increased salt concentration heightens peak curvature without altering expansion ratio, suggesting additional variables in play.