# Centrifuge

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This article is about the scientific device. For the Christian camp, see Centrifuge (camps). For spin direction in quantum mechanics, see Spin (physics)#Spin direction.
A laboratory tabletop centrifuge. The rotating unit, called the rotor, has fixed holes drilled at an angle (to the vertical). Test tubes are placed in these slots and the motor is spun. As the centrifugal force is in the horizontal plane and the tubes are fixed at an angle, the particles have to travel only a little distance before they hit the wall and drop down to the bottom. These angle rotors are very popular in the lab for routine use.

A centrifuge is a piece of equipment, generally driven by an electric motor (or, in some older models, by hand), that puts an object in rotation around a fixed axis, applying a force perpendicular to the axis. A centrifuge is also used to separate the components of blood in blood banks. The centrifuge works using the sedimentation principle, where the centripetal acceleration causes denser substances to separate out along the radial direction (the bottom of the tube). By the same token lighter objects will tend to move to the top (of the tube; in the rotating picture, move to the centre).

## Theory

Protocols for centrifugation typically specify the amount of acceleration to be applied to the sample, rather than specifying a rotational speed such as revolutions per minute. This distinction is important because two rotors with different diameters running at the same rotational speed will subject samples to different accelerations. During circular motion the acceleration is the product of the radius and the square of the angular velocity $\omega$, and the acceleration relative to "g" is traditionally named "relative centrifugal force" (RCF). The acceleration is measured in multiples of "g" (or × "g"), the standard acceleration due to gravity at the Earth's surface, a dimensionless quantity given by the expression:

A 19th-century hand cranked laboratory centrifuge.
$\text{RCF} = \frac{r \omega^2}{g}$

where

$\textstyle g$ is earth's gravitational acceleration,
$\textstyle r$ is the rotational radius,
$\omega$ is the angular velocity in radians per unit time

This relationship may be written as

$\text{RCF} = 1.11824396\, \times 10^{-6}\, r_\text{mm} \, N_\text{RPM}^2$

where

$\textstyle r_\text{mm}$ is the rotational radius measured in millimeters (mm), and
$\textstyle N_\text{RPM}$ is rotational speed measured in revolutions per minute (RPM).

## History and predecessors

Early 20th-century advertising poster for a milk separator.

English military engineer Benjamin Robins (1707–1751) invented a whirling arm apparatus to determine drag. In 1864, Antonin Prandtl invented the first dairy centrifuge in order to separate cream from milk. In first continuous centrifugal separator, making its commercial application feasible.

## Types

There are multiple types of centrifuge, which can be classified by intended use or by rotor design:

Types by rotor design: [1][2][3][4]

• Fixed-angle centrifuges are designed to hold the sample containers at a constant angle relative to the central axis.
• Swinging head (or swinging bucket) centrifuges, in contrast to fixed-angle centrifuges, have a hinge where the sample containers are attached to the central rotor. This allows all of the samples to swing outwards as the centrifuge is spun.
• Continuous tubular centrifuges do not have individual sample vessels and are used for high volume applications.

Types by intended use:

• Ultracentrifuges are optimized for spinning a rotor at very high speeds and are popular in the fields of molecular biology, biochemistry and polymer science. This type may include preparative or analytical, fixed-angle or swing head varieties.[3]
• Haematocrit centrifuges are used to measure the percentage of red blood cells in whole blood.
• Gas centrifuges, including Zippe-type centrifuges

Industrial centrifuges may otherwise be classified according to the type of separation of the high density fraction from the low density one:

## Uses

### Isolating suspensions

Main article: Laboratory centrifuge

Simple centrifuges are used in chemistry, biology, and biochemistry for isolating and separating suspensions. They vary widely in speed and capacity. They usually comprise a rotor containing two, four, six, or many more numbered wells within which the samples, contained in centrifuge tubes, may be placed.

### Isotope separation

Main article: Gas centrifuge

Other centrifuges, the first being the Zippe-type centrifuge, separate isotopes, and these kinds of centrifuges are in use in nuclear power and nuclear weapon programs.

Gas centrifuges are used in uranium enrichment. The heavier isotope of uranium (uranium-238) in the uranium hexafluoride gas tends to concentrate at the walls of the centrifuge as it spins, while the desired uranium-235 isotope is extracted and concentrated with a scoop selectively placed inside the centrifuge.[citation needed] It takes many thousands of centrifugations to enrich uranium enough for use in a nuclear reactor (around 3.5% enrichment),[citation needed] and many thousands more to enrich it to weapons-grade (above 90% enrichment) for use in nuclear weapons.[citation needed]

### Aeronautics and astronautics

Main article: High-G training
The 20 G centrifuge at the NASA Ames Research Center

Human centrifuges are exceptionally large centrifuges that test the reactions and tolerance of pilots and astronauts to acceleration above those experienced in the Earth's gravity.

The US Air Force at Holloman Air Force Base, New Mexico operates a human centrifuge. The centrifuge at Holloman AFB is operated by the aerospace physiology department for the purpose of training and evaluating prospective fighter pilots for high-g flight in Air Force fighter aircraft.[5]

The use of large centrifuges to simulate a feeling of gravity has been proposed for future long-duration space missions. Exposure to this simulated gravity would prevent or reduce the bone decalcification and muscle atrophy that affect individuals exposed to long periods of freefall. [5] [6]

The first centrifuges used for human research were used by Erasmus Darwin, the grandfather of Charles Darwin. The first largescale human centrifuge designed for Aeronautical training was created in Germany in 1933.[7]

### Geotechnical centrifuge modeling

Geotechnical centrifuge modeling is used for physical testing of models involving soils. Centrifuge acceleration is applied to scale models to scale the gravitational acceleration and enable prototype scale stresses to be obtained in scale models. Problems such as building and bridge foundations, earth dams, tunnels, and slope stability, including effects such as blast loading and earthquake shaking.[8]

### Commercial applications

• Centrifuges with a batch weight of up to 2,200 kg per charge are used in the sugar industry to separate the sugar crystals from the mother liquor.[9]
• Standalone centrifuges for drying (hand-washed) clothes – usually with a water outlet.
• Washing machines
• Centrifuges are used in the attraction Mission: SPACE, located at Epcot in Walt Disney World, which propels riders using a combination of a centrifuge and a motion simulator to simulate the feeling of going into space.
• In soil mechanics, centrifuges utilize centrifugal acceleration to match soil stresses in a scale model to those found in reality.
• Large industrial centrifuges are commonly used in water and wastewater treatment to dry sludges. The resulting dry product is often termed cake, and the water leaving a centrifuge after most of the solids have been removed is called centrate.
• Large industrial centrifuges are also used in the oil industry to remove solids from the drilling fluid.
• Disc-stack centrifuges used by some companies in Oil Sands industry to separate small amounts of water and solids from bitumen
• Centrifuges are used to separate cream (remove fat) from milk; see Separator (milk).