• 作者： Lee, K.C.; Huang, C.C.
• 中文摘要： 本研究利用假光譜法(pseudo-spectral method)對兩同心旋轉球體間牛頓流體之流動現象做分析,並特別著重於與別種數值方法間優劣之比較。研究結果發現本方法可正確地預測流體複雜之流動現象---例如渦流之產生,並可準確地計算出內外球殼所受力矩之數值。尤有進者,與文獻上發表之其他數值方法比較,本方法以較少之節點卻獲致更高之準確度,顯見本法之優越性。本研究可進一步拓展至非牛頓流體力學之領域。
• 英文摘要： The steady laminar flow of an incompressible viscous fluid contained between two rotating concentric spheres is analyzed. A pseudo-spectral method based on chebyshev polynomials is used to solve the resulted governing differential equations. Our results of the computation agree with the data available in the literature excellently. Moreover higher accuracy is obtained with fewer nodal points in our approach, indicating the superiority of the pseudo- spectral method in the rotating flow systems. The effect of Coriolis force on the flow field is discussed and it is very revealing.
• 中文關鍵字： 旋轉球體; 假光譜法; 渦流; 穩定態牛頓流體
• 英文關鍵字： Rotating Spheres; Pseudo-Spectral Method; Vortex Flow; Steady Newtonian Fluid