Laminar flow between two parallel rotating discs:
This report investigates the viscous flow between two parallel disks rotating in the same direction with the same velocity. The fluid enters the space between the two disks at a certain radius in the radial direction. Because of the shear forces, it assumes a rotating motion with about the velocity...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
s. l.
Aeronautical Research Laboratory, Wright-Patterson Air Force Base
1962
|
| Schriftenreihe: | Project
701: Task 70347 |
| Schlagworte: | |
| Zusammenfassung: | This report investigates the viscous flow between two parallel disks rotating in the same direction with the same velocity. The fluid enters the space between the two disks at a certain radius in the radial direction. Because of the shear forces, it assumes a rotating motion with about the velocity of the disks. The centrifugal forces then build up a pressure increase in the radial direction. The arrangement corresponds to a centrifugal fluid pump, which may be advantageous if cavitation is a problem The general equations of viscous flow are simplified by the assumption that the pressure difference normal to the disks is negligible (boundary layer assumptions). One obtains a system of parabolic partial differential equations. For large radii the deviation from rigid body rotation (with the angular velocity of the disks) is small. The linearized equations which then result are solved analytically. The velocity profiles depend upon a parameter containing the kinematic viscosity, the angular velocity and the distance of the disks, but not the radius The non-linearized parabolic differential equations are approximated by a difference scheme and solved numerically. The results are given in non-dimensional form with the entrance velocity and the distance of the disks as parameters. Furthermore, the efficiency of the pump is computed from the gain of the total pressure and the torque at the shaft of the rotating disks |
| Beschreibung: | 49 S. zahlr. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Breiter, Mark C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Laminar flow between two parallel rotating discs |c Mark C. Breiter ; Karl Pohlhausen |
| 264 | 1 | |a s. l. |b Aeronautical Research Laboratory, Wright-Patterson Air Force Base |c 1962 | |
| 300 | |a 49 S. |b zahlr. graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Project |v 701: Task 70347 | |
| 520 | 3 | |a This report investigates the viscous flow between two parallel disks rotating in the same direction with the same velocity. The fluid enters the space between the two disks at a certain radius in the radial direction. Because of the shear forces, it assumes a rotating motion with about the velocity of the disks. The centrifugal forces then build up a pressure increase in the radial direction. The arrangement corresponds to a centrifugal fluid pump, which may be advantageous if cavitation is a problem | |
| 520 | 3 | |a The general equations of viscous flow are simplified by the assumption that the pressure difference normal to the disks is negligible (boundary layer assumptions). One obtains a system of parabolic partial differential equations. For large radii the deviation from rigid body rotation (with the angular velocity of the disks) is small. The linearized equations which then result are solved analytically. The velocity profiles depend upon a parameter containing the kinematic viscosity, the angular velocity and the distance of the disks, but not the radius | |
| 520 | 3 | |a The non-linearized parabolic differential equations are approximated by a difference scheme and solved numerically. The results are given in non-dimensional form with the entrance velocity and the distance of the disks as parameters. Furthermore, the efficiency of the pump is computed from the gain of the total pressure and the torque at the shaft of the rotating disks | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Centrifugal force | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Laminar flow |x Mathematical models | |
| 650 | 4 | |a Viscous flow |x Mathematical models | |
| 650 | 0 | 7 | |a Scheibe |0 (DE-588)4052190-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Rotation |0 (DE-588)4178485-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Viskose Strömung |0 (DE-588)4226965-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Laminare Strömung |0 (DE-588)4034181-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Laminare Strömung |0 (DE-588)4034181-1 |D s |
| 689 | 0 | 1 | |a Scheibe |0 (DE-588)4052190-4 |D s |
| 689 | 0 | 2 | |a Rotation |0 (DE-588)4178485-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Viskose Strömung |0 (DE-588)4226965-9 |D s |
| 689 | 1 | 1 | |a Scheibe |0 (DE-588)4052190-4 |D s |
| 689 | 1 | 2 | |a Rotation |0 (DE-588)4178485-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Pohlhausen, Karl |e Verfasser |4 aut | |
| 830 | 0 | |a Project |v 701: Task 70347 |w (DE-604)BV014082978 |9 701 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009646352 | ||
Datensatz im Suchindex
| _version_ | 1804128947571523584 |
|---|---|
| any_adam_object | |
| author | Breiter, Mark C. Pohlhausen, Karl |
| author_facet | Breiter, Mark C. Pohlhausen, Karl |
| author_role | aut aut |
| author_sort | Breiter, Mark C. |
| author_variant | m c b mc mcb k p kp |
| building | Verbundindex |
| bvnumber | BV014082969 |
| classification_rvk | UF 4100 |
| ctrlnum | (OCoLC)495314667 (DE-599)BVBBV014082969 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV014082969 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:57:20Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009646352 |
| oclc_num | 495314667 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 49 S. zahlr. graph. Darst. |
| publishDate | 1962 |
| publishDateSearch | 1962 |
| publishDateSort | 1962 |
| publisher | Aeronautical Research Laboratory, Wright-Patterson Air Force Base |
| record_format | marc |
| series | Project |
| series2 | Project |
| spelling | Breiter, Mark C. Verfasser aut Laminar flow between two parallel rotating discs Mark C. Breiter ; Karl Pohlhausen s. l. Aeronautical Research Laboratory, Wright-Patterson Air Force Base 1962 49 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Project 701: Task 70347 This report investigates the viscous flow between two parallel disks rotating in the same direction with the same velocity. The fluid enters the space between the two disks at a certain radius in the radial direction. Because of the shear forces, it assumes a rotating motion with about the velocity of the disks. The centrifugal forces then build up a pressure increase in the radial direction. The arrangement corresponds to a centrifugal fluid pump, which may be advantageous if cavitation is a problem The general equations of viscous flow are simplified by the assumption that the pressure difference normal to the disks is negligible (boundary layer assumptions). One obtains a system of parabolic partial differential equations. For large radii the deviation from rigid body rotation (with the angular velocity of the disks) is small. The linearized equations which then result are solved analytically. The velocity profiles depend upon a parameter containing the kinematic viscosity, the angular velocity and the distance of the disks, but not the radius The non-linearized parabolic differential equations are approximated by a difference scheme and solved numerically. The results are given in non-dimensional form with the entrance velocity and the distance of the disks as parameters. Furthermore, the efficiency of the pump is computed from the gain of the total pressure and the torque at the shaft of the rotating disks Mathematisches Modell Centrifugal force Differential equations Laminar flow Mathematical models Viscous flow Mathematical models Scheibe (DE-588)4052190-4 gnd rswk-swf Rotation (DE-588)4178485-6 gnd rswk-swf Viskose Strömung (DE-588)4226965-9 gnd rswk-swf Laminare Strömung (DE-588)4034181-1 gnd rswk-swf Laminare Strömung (DE-588)4034181-1 s Scheibe (DE-588)4052190-4 s Rotation (DE-588)4178485-6 s DE-604 Viskose Strömung (DE-588)4226965-9 s Pohlhausen, Karl Verfasser aut Project 701: Task 70347 (DE-604)BV014082978 701 |
| spellingShingle | Breiter, Mark C. Pohlhausen, Karl Laminar flow between two parallel rotating discs Project Mathematisches Modell Centrifugal force Differential equations Laminar flow Mathematical models Viscous flow Mathematical models Scheibe (DE-588)4052190-4 gnd Rotation (DE-588)4178485-6 gnd Viskose Strömung (DE-588)4226965-9 gnd Laminare Strömung (DE-588)4034181-1 gnd |
| subject_GND | (DE-588)4052190-4 (DE-588)4178485-6 (DE-588)4226965-9 (DE-588)4034181-1 |
| title | Laminar flow between two parallel rotating discs |
| title_auth | Laminar flow between two parallel rotating discs |
| title_exact_search | Laminar flow between two parallel rotating discs |
| title_full | Laminar flow between two parallel rotating discs Mark C. Breiter ; Karl Pohlhausen |
| title_fullStr | Laminar flow between two parallel rotating discs Mark C. Breiter ; Karl Pohlhausen |
| title_full_unstemmed | Laminar flow between two parallel rotating discs Mark C. Breiter ; Karl Pohlhausen |
| title_short | Laminar flow between two parallel rotating discs |
| title_sort | laminar flow between two parallel rotating discs |
| topic | Mathematisches Modell Centrifugal force Differential equations Laminar flow Mathematical models Viscous flow Mathematical models Scheibe (DE-588)4052190-4 gnd Rotation (DE-588)4178485-6 gnd Viskose Strömung (DE-588)4226965-9 gnd Laminare Strömung (DE-588)4034181-1 gnd |
| topic_facet | Mathematisches Modell Centrifugal force Differential equations Laminar flow Mathematical models Viscous flow Mathematical models Scheibe Rotation Viskose Strömung Laminare Strömung |
| volume_link | (DE-604)BV014082978 |
| work_keys_str_mv | AT breitermarkc laminarflowbetweentwoparallelrotatingdiscs AT pohlhausenkarl laminarflowbetweentwoparallelrotatingdiscs |