and today we're going to show you some pretty cool

和今天我們'要告訴你一些很酷的

high speed, and it has nothing to do with all those assault rifles.

高速，這與那些突擊步槍無關。

It's actually much sweeter than that, literally.

它'其實比這更甜，從字面上看。

Check this out. It is a

看看這個。這是一個

jar of honey.

罐子裡的蜂蜜。

So, I know this sounds a little strange

所以，我知道這聽起來有點奇怪

but we've got a high speed camera setup, and we are going to show you

但我們已經得到了一個高速攝影機的設置， 我們將向您展示

something called the liquid rope coil effect. This is how it works.

叫做液體繩圈效應的東西。這就是它的工作原理。

You just put some of the honey on this chopstick here,

你就在這根筷子上放點蜂蜜吧。

and just drip it down. And look at this.

並只是滴下來。看看這個。

Check out that. How cool is that.

看看這個。多麼酷的是。

It has to do with the viscosity of the fluid, and basically the liquid is piling

這和液體的粘度有關，基本上液體都是堆積的。

up. So I think this is really really neat, so we're gonna get a little bit of

了。所以我覺得這真的很整潔，所以我們'會得到一點點的

high speed of it, and then after that we're going to discuss

的高速，然後在這之後我們'要討論。

this in more detail. Fluid dynamics are awesome.

這個比較詳細。流體動力學很厲害。

It's tempting to think that this would be an easy math problem but it turns out people have been studying

它'的誘惑，認為這將是一個簡單的數學問題，但事實證明，人們一直在研究'。

this for fifty years. To explain, let me show you the variables.

這五十年來。解釋一下，讓我給你看看變量。

This section is call the coil, and this section is called the tail.

這一段叫線圈，這一段叫尾巴。

The coil and the tail together make up the total height, H. The mass flow rate of the material

卷材和尾部共同構成總高度H。

is Q, and the initial radius at the top of the tail is called

為Q，尾部頂部的初始半徑稱為

"a sub zero". We'll call the radius at the bottom "a sub one".

"一個子零"。我們'將底部的半徑稱為"一個子一"。

And the exciting part is the angular coiling frequency, which is omega.

而令人興奮的是角卷頻率，也就是歐米伽。

The fluid itself also has internal properties that we have to consider. Density is rho

流體本身也有我們要考慮的內部特性。密度為rho

and the surface tension coefficient is gamma. The kinematic viscosity is nu.

而表面張力係數為gamma。運動粘度為μ。

OK simply put, viscosity is

好吧，簡單來說，粘度就是

the measure of the thickness of a fluid. Viscosity is the measure of a fluid to

粘度是衡量流體厚度的標準。 粘度是衡量流體對

resist a sheer or tensile stress. Dynamic viscosity is measured in

抵抗剪切或拉伸應力。動態粘度的測量組織、部門是

Poise, whereas kinematic viscosity is measured in Stokes.

坡度，而運動粘度則以斯托克斯為組織、部門。

Kinematic viscosity is also referred to as the Diffusivity of Momentum.

運動粘度又稱動量擴散性。

And that makes sense if you think about it, to diffuse momentum throughout a fluid.

而如果你仔細想想，在流體中擴散動量也是有道理的。

As you can see here, obviously the molasses honey mixture is the most viscous.

從這裡可以看出，顯然糖蜜的混合物是最粘稠的。

OK if these big words are boring you, just wait. There's a shower scene for you.

好吧，如果這些大詞讓你覺得無聊，就等著吧。有'的洗澡場景給你。

But if you're like me and you want to understand what's going on and you want to know the math, let's do this.

但如果你'像我一樣，你想了解什麼'是怎麼回事，你想知道的數學，讓我們'這樣做。

What you're looking at here are the four different types of flow that scientists can describe

你在這裡看到的是科學家們可以描述的四種不同類型的流動。

using the variables that we defined earlier. Let's start here with this one.

依照我們前面定義的變量。讓我們從這個開始吧。

This is the viscous flow regime. The way it works is as H, or the height that the

這就是粘性流動體制。它的工作方式是H，或稱為高度，即

fluid is dropped from is relatively small, the flow has to

流體的落差相對較小，流量必須要大。

naturally go into a spiral because the fluid has to get out of the way of itself.

自然而然地進入了螺旋狀態，因為流體要離開自己。

Now the interesting thing about the equation used to define the coiling frequency is

現在，關於定義卷繞頻率的方程的有趣之處在於

that it doesn't even include the kinematic viscosity of the fluid. That's interesting

它甚至不包括流體的運動粘度。這很有趣

seeing how it's called the viscous flow regime. OK the second condition we're talking about

看到它是如何被稱為粘性流動制度。好了，第二個條件，我們說的是

here is called the gravitational flow regime. Basically the way it works is

這裡叫做引力流體制。基本上它的工作方式是

as that height increases, gravity begins to take over and stretch

隨著高度的增加，重力開始接管和伸展

the fluid. So basically the viscosity of the fluid is resisting that

的流體。所以，基本上流體的粘度是抵制了這一點。

stretching, and that's why the equation there shows that kinematic viscosity starts to

拉伸，這就是為什麼那裡的方程顯示運動粘度開始下降的原因。

come into play. And that's where the coiling becomes uniform and stable.

來發揮作用。而這也是卷繞變得均勻穩定的地方。

That's the exact condition that we were filming with the high speed camera earlier.

這正是我們之前用高速攝影機拍攝的狀況。

The third condition we're gonna talk about is called the intertial regime. Now as height

第三個條件，我們'要談的是所謂的際制度。現在作為高度

gets very very long what happens is that fluid becomes very fast

變得非常長 會發生的事情是，流體變得非常快。

and very very skinny. Now you noticed in the equation that the radius of

而且非常非常瘦。現在你注意到在方程中，半徑為

the coil at the bottom is factored into the denominiator and raised to the tenth power.

底部的線圈被計入面額，並提高到十次方。

Now if you think about it, that means the smaller the radius gets

如果你仔細想一想，那就意味著半徑越小

the higher the coiling frequency, which makes sense. OK the fourth regime

卷繞頻率越高，這是有道理的。好了，第四種制度

is why I love science. All we know is that somewhere between the gravitational

是我熱愛科學的原因。我們所知道的是，在引力之間的某處

regime and the intertial regime, everything goes out the window. All of a sudden

體制和國際體制，一切都不復存在。突然間

you'll go from a steady state coil to some erattic figure eight pattern or something stranger

你會從一個穩定的狀態線圈到一些 erattic數字8模式或一些更奇怪的東西。

but if you raise it just a little bit more, all of a sudden you're steady state again.

但如果你再提高一點點，突然間你'又變成了穩態。

Even more, and you're back on stable. Everything is erratic. The frequency

甚至更多，你'又回到了穩定上。一切都是不穩定的。頻率

is varying wildly, but it seems to have some sort of pattern but we don't know why.

是變化很大，但它似乎有某種模式，但我們不知道為什麼。

It's very interesting and there has been a very complex study done on it and I'll leave the link in the

很有趣，而且關於這個有一個非常複雜的研究，我會把連結放在

description too that so you can check it out yourself. I think it's amazing that we as humans can

影片描述欄，所以你可以自己看看。我認為這是驚人的，我們作為人類可以

conquer so many things about the world around us but we still struggle with the smallest of things.

征服了周圍世界那麼多的東西，但我們還是在小事上掙扎。

If you're interested in knowing why I did this video I'll leave that info in the description as well.

如果你'有興趣知道我為什麼要做這個視頻，我'會把這個資訊也留在描述中。

Boy that got weird in a hurry didn't it. Every single day

天啊，一下子就變得很奇怪了，不是嗎'。每一天

you can check out the liquid rope coil effect in your own shower. It's pretty easy. Just take your

你可以在自己的淋浴房裡檢查出液體繩圈效果。它'很容易。只要把你的

shampoo, which is a pretty viscous fluid, and throttle the flow rate

洗髮水，這是一個相當粘稠的液體，和節流的速度。

and the height until you get the right combination and then boom.

和高度，直到你得到正確的組合，然後轟。

You lock in on the liquid rope coil effect. It's pretty cool.

你鎖定液繩線圈效果。很酷

You can change things and see how the variables effect it's action. Anyway,

你可以改變東西，看看變量如何影響它'的行動。總之。

I'm not responsible for any extra shampoo you end up using.

我'我不負責任何額外的洗髮水，你最終使用。

I'm Destin. You're getting Smarter Every Day. Have a good one.

我是Destin你每天都在變得更聰明。 有一個好的。

[ Captions by Andrew Jackson ]

[安德魯-傑克遜的字幕]