首页|20℃的静止空气中直径5 mm的雨滴的自由下落运动研究

20℃的静止空气中直径5 mm的雨滴的自由下落运动研究

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文章采用球形雨滴模型,利用空气阻力系数CD的较严格的表达式即Wallis公式,计算出直径5 mm的雨滴在20 ℃的静止空气中自静止开始自由下落时的v~t图像.文章又在CD统一取作0.44的近似下,解出解析的、普适的v(t)函数,并作出相应的v~t图像.结果显示这两条v~t曲线几乎完全重合,这就意味着近似处理是完全合适的.文章解释了其中的原因,并指出实测极限速率比球形雨滴模型下的理论值小2.00 m/s的原因在于实际雨滴的形状呈现汉堡状,其实际的空气阻力系数经计算约为0.52.文章认为球形雨滴模型从总体上看是比较实用的.
A study on the free falling motion of raindrops with a diameter of 5 mm in still air at 20℃
The article adopts the spherical raindrop model and uses the strict expression of the air resistance coefficient CD,namely the Wallis formula,to calculate the v~t image of a raindrop with a diameter of 5 mm when it freely falls from rest in still air at 20 ℃.The article also solves the analytical and universal v(t)function under the approximation of CD being uniformly taken as 0.44,and produces the corresponding v~t image.The results show that these two v~t curves almost completely coincide,indicating that the approximate treatment is completely appropriate.The article explains the reason for this and points out the reason for the limit rate measured in the ex-periment is 2.00 m/s lower than the theoretical value under the spherical raindrop model is the actual raindrop shape presents a Hamburg shape,and its actual air resistance coefficient is calculated to be about 0.52.We be-lieve that the spherical raindrop model is generally practical.

spherical raindrop modelstill airfree falling motionair resistance coefficientapproximate treatment

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南京晓庄学院电子工程学院,江苏南京 211171

球形雨滴模型 静止空气 自由下落运动 空气阻力系数 近似处理

2024

大学物理
中国物理学会

大学物理

影响因子:0.333
ISSN:1000-0712
年,卷(期):2024.43(4)
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