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題名 | 以柴比雪夫有限差分數值分析在磁流中連續移動平板之熱傳=Chebyshev Finite Difference Method for Heat Transfer in a Hydromagnetic Flow Over an Moving Surface |
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作 者 | 黃桂勳; | 書刊名 | 親民學報 |
卷期 | 13 2007.07[民96.07] |
頁次 | 頁47-53 |
分類號 | 440.12 |
關鍵詞 | 柴比雪夫有限差分法; 熱傳; 磁流; 非定值熱傳導系數; |
語文 | 中文(Chinese) |
中文摘要 | 本文以數值分析二維、穩態、黏滯性、在磁場影響下的不可壓縮導電性流體,通過一存在熱源之連續水平移動多孔性平板之熱傳遞情形。流體透過可滲透性壁面被吸入或吹出,平板表面溫度與速度根據冪次方式,同時考慮隨著溫度改變的非定值流體熱傳導係數,假設為溫度的線性函數。邊界層方程式經相似性分析轉換為非線性常微分方程式,以柴比雪夫有限差分法近似,再以牛頓法迭代求解。在各種不同條件下的分析結果以圖、表方式顯現。數值結果顯示磁影響數、可變熱傳導係數、壁面質量傳遞參數、普郎特數、壁面溫度參數及熱源對流場與溫度場有重之影響。 |
英文摘要 | The text with numerical study of the two-dimensional boundary layer flow of a steady, viscous, incompressible and electrically fluid was due to a porous plate with internal heat generation/absorption stretching in the presence of a transverse magnetic field. The surface is assumed to be permeable to allow for possible fluid wall blowing or suction. The surface velocity and temperature were assumed to vary according to power-law. Also, the variable thermal conductivity is assumed to vary as a linear function of temperature. The boundary layer equations are solved numerically by Chebyshev finite difference methods. Numerical results for the velocity and temperature are obtained and reported graphically for various parameters. The numerical results show that magnetic influence parameter, variable thermal conductivity, wall mass transfer coefficient and Prandtl number have significant influences on the velocity and temperature profiles. |
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