Centrifuge: Difference between revisions
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{{CZ:Cornell University 2010 BEE 4640 Bioseparation Processes/EZnotice}} | |||
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'''Centrifuge''' - a mechanical device that decreases [[sedimentation]] time through the use of [[centripetal acceleration]]. | |||
==Types of Centrifuges== | |||
Centrifuges fall into three different categories based on size: laboratory, industrial, and human-sized. Laboratory centrifuges are the smallest of the three and are primarily used for cell sedimentation and purification. Industrial sized centrifuges are significantly larger than laboratory centrifuges and are utilized for large separation processes. Yet the largest centrifuges are human-sized and are scientifically utilized by space agencies and biomedical research to simulate high gravity conditions. | |||
===Laboratory Centrifuges=== | |||
Laboratory Centrifuges are frequently used in various scientific protocols such as DNA and protein purification. The most common laboratory centrifuge is the bench top centrifuge because they are multipurpose and have removable rotors. Laboratory centrifuges can spin up to about 20,000 rpm. | |||
For more information: | |||
[[Gas Centrifuge]] | |||
[[Sucrose Gradient Centrifuge]] | |||
[[Micro Centrifuge]] | |||
[[Ultra Centrifuge]] | |||
[[Clinical Centrifuge]] | |||
[[Bench top Centrifuge]] | |||
===Process Scale Centrifuges=== | |||
Biological and chemical processing plants use large-scale centrifuges for separation and sedimentation. The two most common separation centrifuges are tubular bowl centrifuges and disk stack centrifuges. | |||
====Tubular Bowl Centrifuge==== | |||
The tubular bowl centrifuge operates by allowing fluid to enter the bottom of the centrifuge and exit out the top. Particles separated from the centrifuge are collected on the side of the bowl and need to be cleaned after processing. Fortunately, the bowl is usually easy to remove and wash. Another application for the tubular bowl centrifuge is the separation of a light liquid from a heavy liquid because of the density difference. | |||
====Disk Stack Centrifuge==== | |||
The disk stack centrifuge is fed from the top into a basin and the clarified liquid is removed from the top after passing through a series of disks. Similar to the tubular bowl centrifuge, the dense particles are captured on the side of the centrifuge. Some disk stack centrifuges have solid discharge valves that can clean the sides and prevent buildup. | |||
===Human-sized Centrifuge=== | |||
Moving to a larger scale, human-sized centrifuges are used for high gravity training by NASA and entertainment value in carnival rides such as the Gravitron. Human sized centrifuges spin much slower than their smaller counter parts as sedimentation is undesired. | |||
For more information: | |||
[[NASA]] | |||
[[Gravitron|http://www.ride-extravaganza.com/intermediate/gravitron/]] | |||
==Equations Governing Centrifuges== | |||
===Sedimentation Velocity (V<sub>g</sub>)=== | |||
*The speed at which a particle falls out of solution in Earth’s gravitational field. | |||
<math>V_g=(πd_p∆ρg)/18μ</math> | |||
Where: d<sub>p</sub> - diameter of the particle (cm), ∆ρ – the difference in densities between the particle and the solvent (g/cm<sup>3</sup>), g – gravitational constant (cm/s<sup>2</sup>), μ - viscosity of the solvent (g/cm*s) | |||
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Where: r – radius of the centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (cm/s<sup>2</sup>) | Where: r – radius of the centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (cm/s<sup>2</sup>) | ||
===Particle Velocity (V<sub>r</sub>)=== | |||
*The speed at which the particle falls out of solution in the centrifuge | |||
<math>V<sub>r</sub>=V<sub>g</sub>*RCF</math> | |||
===Retention Flow Rate (Q<sub>ret</sub>)=== | |||
*In an process scale centrifuge, the flow rate at which all the particles will sediment out of solution. | |||
<math>Q_ret=V<sub>g</sub>*∑</math> | |||
Where: V_g - sedimentation velocity (cm/s), ∑ - sigma factor (cm<sup>2</sup>) | |||
===Sigma Factor (∑)=== | |||
*The operation constant representing the geometry and speed of the centrifuge. | |||
====For Tubular Bowl Centrifuge:==== | |||
<math>∑=(πL(r<sub>o</sub><sup>2</sup>-r<sub>i</sub><sup>2</sup>) ω<sup>2</sup>)/gln(r<sub>o</sub>/r<sub>i</sub>)</math> | |||
Where: L – length of the column (m), r<sub>o</sub> - outer radius of centrifuge (cm), r<sub>i</sub> - inner radius of centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (m/s<sup>2</sup>) | |||
====For a Disk Stack Centrifuge:==== | |||
<math>∑=(2πn(r<sub>o</sub><sup>3</sup>-r<sub>i</sub><sup>3</sup> ) ω<sup>2</sup>)/(3gtan(θ))</math> | |||
Where: ω – angular velocity (cm*rad/s), n – number of discs, r<sub>o</sub> - outer radius of disks (cm), r<sub>i</sub> - inner radius of disks (cm), θ - angle between disc and vertical (rad), g – gravitational constant (cm/s<sup>2</sup>) | |||
==References== | |||
<references/> | |||
===Particle Velocity (V<sub>r</sub>)=== | ===Particle Velocity (V<sub>r</sub>)=== |
Revision as of 15:05, 9 December 2010
For the course duration, the article is closed to outside editing. Of course you can always leave comments on the discussion page. The anticipated date of course completion is 21 December 2010. One month after that date at the latest, this notice shall be removed. Besides, many other Citizendium articles welcome your collaboration! Note to course participants: Looking forward to some insightful and useful articles from your collaborations. |
Centrifuge - a mechanical device that decreases sedimentation time through the use of centripetal acceleration.
Types of Centrifuges
Centrifuges fall into three different categories based on size: laboratory, industrial, and human-sized. Laboratory centrifuges are the smallest of the three and are primarily used for cell sedimentation and purification. Industrial sized centrifuges are significantly larger than laboratory centrifuges and are utilized for large separation processes. Yet the largest centrifuges are human-sized and are scientifically utilized by space agencies and biomedical research to simulate high gravity conditions.
Laboratory Centrifuges
Laboratory Centrifuges are frequently used in various scientific protocols such as DNA and protein purification. The most common laboratory centrifuge is the bench top centrifuge because they are multipurpose and have removable rotors. Laboratory centrifuges can spin up to about 20,000 rpm.
For more information: Gas Centrifuge Sucrose Gradient Centrifuge Micro Centrifuge Ultra Centrifuge Clinical Centrifuge Bench top Centrifuge
Process Scale Centrifuges
Biological and chemical processing plants use large-scale centrifuges for separation and sedimentation. The two most common separation centrifuges are tubular bowl centrifuges and disk stack centrifuges.
Tubular Bowl Centrifuge
The tubular bowl centrifuge operates by allowing fluid to enter the bottom of the centrifuge and exit out the top. Particles separated from the centrifuge are collected on the side of the bowl and need to be cleaned after processing. Fortunately, the bowl is usually easy to remove and wash. Another application for the tubular bowl centrifuge is the separation of a light liquid from a heavy liquid because of the density difference.
Disk Stack Centrifuge
The disk stack centrifuge is fed from the top into a basin and the clarified liquid is removed from the top after passing through a series of disks. Similar to the tubular bowl centrifuge, the dense particles are captured on the side of the centrifuge. Some disk stack centrifuges have solid discharge valves that can clean the sides and prevent buildup.
Human-sized Centrifuge
Moving to a larger scale, human-sized centrifuges are used for high gravity training by NASA and entertainment value in carnival rides such as the Gravitron. Human sized centrifuges spin much slower than their smaller counter parts as sedimentation is undesired.
For more information: NASA http://www.ride-extravaganza.com/intermediate/gravitron/
Equations Governing Centrifuges
Sedimentation Velocity (Vg)
- The speed at which a particle falls out of solution in Earth’s gravitational field.
Failed to parse (syntax error): {\displaystyle V_g=(πd_p∆ρg)/18μ}
Where: dp - diameter of the particle (cm), ∆ρ – the difference in densities between the particle and the solvent (g/cm3), g – gravitational constant (cm/s2), μ - viscosity of the solvent (g/cm*s)
For the course duration, the article is closed to outside editing. Of course you can always leave comments on the discussion page. The anticipated date of course completion is 21 December 2010. One month after that date at the latest, this notice shall be removed. Besides, many other Citizendium articles welcome your collaboration! Note to course participants: Looking forward to some insightful and useful articles from your collaborations. |
Centrifuge - a mechanical device that decreases sedimentation time through the use of centripetal acceleration.
Types of Centrifuges
Centrifuges fall into three different categories based on size: laboratory, industrial, and human-sized. Laboratory centrifuges are the smallest of the three and are primarily used for cell sedimentation and purification. Industrial sized centrifuges are significantly larger than laboratory centrifuges and are utilized for large separation processes. Yet the largest centrifuges are human-sized and are scientifically utilized by space agencies and biomedical research to simulate high gravity conditions.
Laboratory Centrifuges
Laboratory Centrifuges are frequently used in various scientific protocols such as DNA and protein purification. The most common laboratory centrifuge is the bench top centrifuge because they are multipurpose and have removable rotors. Laboratory centrifuges can spin up to about 20,000 rpm.
For more information: Gas Centrifuge Sucrose Gradient Centrifuge Micro Centrifuge Ultra Centrifuge Clinical Centrifuge Bench top Centrifuge
Process Scale Centrifuges
Biological and chemical processing plants use large-scale centrifuges for separation and sedimentation. The two most common separation centrifuges are tubular bowl centrifuges and disk stack centrifuges.
Tubular Bowl Centrifuge
The tubular bowl centrifuge operates by allowing fluid to enter the bottom of the centrifuge and exit out the top. Particles separated from the centrifuge are collected on the side of the bowl and need to be cleaned after processing. Fortunately, the bowl is usually easy to remove and wash. Another application for the tubular bowl centrifuge is the separation of a light liquid from a heavy liquid because of the density difference.
Disk Stack Centrifuge
The disk stack centrifuge is fed from the top into a basin and the clarified liquid is removed from the top after passing through a series of disks. Similar to the tubular bowl centrifuge, the dense particles are captured on the side of the centrifuge. Some disk stack centrifuges have solid discharge valves that can clean the sides and prevent buildup.
Human-sized Centrifuge
Moving to a larger scale, human-sized centrifuges are used for high gravity training by NASA and entertainment value in carnival rides such as the Gravitron. Human sized centrifuges spin much slower than their smaller counter parts as sedimentation is undesired.
For more information: NASA http://www.ride-extravaganza.com/intermediate/gravitron/
Equations Governing Centrifuges
Sedimentation Velocity (Vg)
- The speed at which a particle falls out of solution in Earth’s gravitational field.
Failed to parse (syntax error): {\displaystyle V_g=(πd_p∆ρg)/18μ}
Where: dp - diameter of the particle (cm), ∆ρ – the difference in densities between the particle and the solvent (g/cm3), g – gravitational constant (cm/s2), μ - viscosity of the solvent (g/cm*s)
RCF: “Relative Centrifugal Force” or G’s
- The strength of the centrifugal acceleration in multiples of gravitational acceleration
Failed to parse (syntax error): {\displaystyle RCF= (r*(2πω))^2/g}
Where: r – radius of the centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (cm/s2)
Particle Velocity (Vr)
- The speed at which the particle falls out of solution in the centrifuge
Retention Flow Rate (Qret)
- In an process scale centrifuge, the flow rate at which all the particles will sediment out of solution.
Failed to parse (syntax error): {\displaystyle Q_ret=V<sub>g</sub>*∑}
Where: V_g - sedimentation velocity (cm/s), ∑ - sigma factor (cm2)
Sigma Factor (∑)
- The operation constant representing the geometry and speed of the centrifuge.
For Tubular Bowl Centrifuge:
Failed to parse (syntax error): {\displaystyle ∑=(πL(r<sub>o</sub><sup>2</sup>-r<sub>i</sub><sup>2</sup>) ω<sup>2</sup>)/gln(r<sub>o</sub>/r<sub>i</sub>)}
Where: L – length of the column (m), ro - outer radius of centrifuge (cm), ri - inner radius of centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (m/s2)
For a Disk Stack Centrifuge:
Failed to parse (syntax error): {\displaystyle ∑=(2πn(r<sub>o</sub><sup>3</sup>-r<sub>i</sub><sup>3</sup> ) ω<sup>2</sup>)/(3gtan(θ))}
Where: ω – angular velocity (cm*rad/s), n – number of discs, ro - outer radius of disks (cm), ri - inner radius of disks (cm), θ - angle between disc and vertical (rad), g – gravitational constant (cm/s2)
References
Particle Velocity (Vr)
- The speed at which the particle falls out of solution in the centrifuge
Retention Flow Rate (Qret)
- In an process scale centrifuge, the flow rate at which all the particles will sediment out of solution.
Failed to parse (syntax error): {\displaystyle Q_ret=V<sub>g</sub>*∑}
Where: V_g - sedimentation velocity (cm/s), ∑ - sigma factor (cm2)
Sigma Factor (∑)
- The operation constant representing the geometry and speed of the centrifuge.
For Tubular Bowl Centrifuge:
Failed to parse (syntax error): {\displaystyle ∑=(πL(r<sub>o</sub><sup>2</sup>-r<sub>i</sub><sup>2</sup>) ω<sup>2</sup>)/gln(r<sub>o</sub>/r<sub>i</sub>)}
Where: L – length of the column (m), ro - outer radius of centrifuge (cm), ri - inner radius of centrifuge (cm), ω – angular velocity (cm*rad/s), g – gravitational constant (m/s2)
For a Disk Stack Centrifuge:
Failed to parse (syntax error): {\displaystyle ∑=(2πn(r<sub>o</sub><sup>3</sup>-r<sub>i</sub><sup>3</sup> ) ω<sup>2</sup>)/(3gtan(θ))}
Where: ω – angular velocity (cm*rad/s), n – number of discs, ro - outer radius of disks (cm), ri - inner radius of disks (cm), θ - angle between disc and vertical (rad), g – gravitational constant (cm/s2)