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格拉晓夫数

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格拉晓夫数Grashof numberGr数)為一無量綱純量,常用在流體力學熱傳導中。格拉晓夫数可以視為流体浮力粘性力的比值,是研究自然對流時重要的參數。格拉晓夫数的命名是源自德國工程師弗朗茨·格拉晓夫

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其中下標的L及D表示格拉晓夫数參考長度的來源。

g = 重力加速度
β = 体积热膨胀系数(若是理想流體,可近似為絕對溫度T的倒數1/T)
Ts = 表面溫度
T = 環境溫度
L = 長度
D = 直徑
ν = 動粘度
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格拉晓夫数
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