離心機原理

2011-02-24 7:34 pm
離心機的作用是令密度高的沉底...而密度低的浮面

根據公式F = mrw^2 (密度正比體積)
而液體所受的力則是壓強差(P)所造成

這表示在r越大(試管越低)的地方...壓強差(P)相對較大

問題:
可否定量(例出算式)說明...為何壓強差(P)隋r上升而上升?

回答 (2)

2011-02-26 6:19 pm
✔ 最佳答案
The centrifugal force F experienced by a small volume of liquid V in a test-tube of cross-sectional area A in a centrifuge is given by,

F = (pV)r.w^2
where p is the density of liquid and r is the radius of revolution of the volume of liquid.

Hence, pressure P produced = F/A = (pV)r.w^2/A = p(V/A)r.w^2
since V/A = L, the height of liquid in the tes-tube
P = pL.rw^2
Thus, pressure P increases with r

The presure gradient established in the liquid because of centrifugal force
= dP/dr = pLw^2
which is a constant

Hence, for particulates (with higher density p) in suspension in the liquid, they will experience a higher pressure gradient, and hence will be "thrown" to the end of the test tube by the centrifuge.

2011-02-24 7:51 pm
离心机是利用离心力,分离液体与固体颗粒或液体与液体的混合物中各组分的机械。
离心机主要用于将悬浮液中的固体颗粒与液体分开;或将乳浊液中两种密度不同,又互不相溶的液体分开(例如从牛奶中分离出奶油);它也可用于排除湿固体中的液体,例如用洗衣机甩干湿衣服;特殊的超速管式分离机还可分离不同密度的气体混合物;利用不同密度或粒度的固体颗粒在液体中沉降速度不同的特点,有的沉降离心机还可对固体颗粒按密度或粒度进行分级。


收錄日期: 2021-04-29 17:38:57
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110224000051KK00324

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