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第一百二十七章 丹尼尔的流体伯努利方程(流体力学)(1 / 1)

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1912年的秋天,当时世界上最大的轮船之一、远洋货轮“奥林匹克号”正在大海上航行。突然,一艘比它小得多的铁甲巡洋舰“豪克号”从后面追了上来,在离它100m的地方几乎跟它平行地疾驰。就在这时,一件意外的事情发生了:“豪克号”好像着了魔似的,竟然扭转船头朝“奥林匹克号”冲了过来,“豪克号”上的舵手怎么操作也没有用。结果,“奥林匹克号”无可奈何地接受了“豪克号”的亲密接触,并付出了极大的代价——船舷被“豪克号”撞了一个大洞。

在海事法庭审理这件奇案的时候,“奥林匹克号”的船长被判为有过失的一方,法院认为,这是因为他没有发出任何命令给横着撞过来的“豪克号”让路。船长虽然感到自己很冤枉,但没有办法解释,只好蒙冤受屈。案子就这样结束了,但这件事情却引起了一些科学家的注意,他们认为这次事件一定事出有因。

这个原理虽然发现得较早,但一直不被人们重视。出现了“奥林匹克号”被撞事件后,一些科学家突然想到,用丹尼尔的这一原理来解释这次事故是非常合情合理的。于是,自此以后伯努利原理才渐渐得到了它应受的重视。这是一条普遍性的原理,它不仅对于流动的水是适用的,而且对于流动的其他液体甚至气体也适用。

1726年,丹尼尔·伯努利与自己的助手欧拉通信,对欧拉说:“我发现了流体中很诡异的现象。”

欧拉看到丹尼尔信里说:“如果水沿着一条有宽有窄的沟,或粗细不均的管子向前流动,沟的较窄部分就流得快些,但水流对沟壁的压力比较小;反之,在较宽的部分水就流得较慢,压向沟壁的力则会比较大。”

欧拉说:“你要是这样说,我也觉得对。我在旷野上走,感觉风不算太大的时候,突然走入一个小巷里,发现风很大。就跟你说的这个意思一样。”

丹尼尔说:“所以,我开始一次来研究流体,得到一个方程。”

欧拉一看丹尼尔的方程是,动能+重力势能+压力势能=常数

欧拉说:“这样就可以研究出不同粗细管道的流体流速的变化了。”

丹尼尔说:“这里面需要说清几个条件。首先流体的,必须有稳定性,也就是说在流动系统中,流体在任何一点之性质不随时间改变。”

欧拉说:“没错,流体流速变化,就无法准确研究了。”

丹尼尔说:“还有就是液体不能被压缩。”

欧拉说:“流体如果被压缩,也无法很好的研究液体的流动性了。”

丹尼尔说:“流体不能有摩擦,忽略黏性。”

欧拉说:“这个得看情况,有的液体会有黏性,水的黏性只是小了点而已。”

丹尼尔说:“流体流线直接不能相交,如果相交也无法正常研究。”

喜欢数学心请大家收藏:数学心本站更新速度全网最快。

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