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The Froude number and bipedal locomotion

59 点作者 aidanrocke超过 6 年前

2 条评论

lordnacho超过 6 年前
<a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Buckingham_%CF%80_theorem" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Buckingham_%CF%80_theorem</a><p>If you want to get into how things scale, this is essential. You might have heard someone say &quot;the real equation is dimensionless&quot;. Well there&#x27;s something to it.<p>There&#x27;s a bunch of flow related stuff that ends up being all about dimensional analysis. Basically, things aren&#x27;t as simple as multiplying all the quantities by a constant.<p>Probably the one everybody&#x27;s heard of is &quot;what would happen if animal X were bigger&#x2F;smaller&quot; -&gt; weight goes up ^3, but cross section of legs ^2. Heat escapes ^2 but is generated ^3.
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theothermkn超过 6 年前
The Froude number appears to be a dimensionless parameter. Dimensionless parameters and the Buckingham Pi Theorem are fundamental to physics, and especially fluid flow. It boils (ha!) down to the ideas that 1) A fundamental law of physics must have consistent units, and 2) Dimensionless quantities function as similarity parameters. The Reynolds Number is arguably the most famous of these (alright, Mach number &lt;sighs&gt;), the ratio of inertial to viscous forces in a fluid flow. (&quot;How much like water divided by how much like honey&quot; is a pretty good heuristic.) You can actually <i>derive</i> fundamental physical laws through dimensional analysis. Powerful stuff. One could do far worse than tracking down as much as one can about these principles as early in one’s engineering or scientific career as possible. It’s as big a shortcut in the hard sciences as Latin is for medicine.