Team:SDU-Denmark/project-m

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[[Image:Team-SDU-Denamrk-Pointforces_notxt.jpg|thumb|center|580px|'''Figure 3''' All 3 images show the flowfield created by a pointforce at (0.000007,0.000007) with an angle of 45 degrees with the x-axis. In the first image there are no walls. In the 2nd a wall is placed at y=0. In the 3rd one wall is placed at y=0 and one at y=0.000015]]  
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[[Image:Team-SDU-Denamrk-Pointforces_notxt.jpg|thumb|center|580px|'''Figure 3''': All 3 images show the flowfield created by a pointforce at (0.000007,0.000007) with an angle of 45 degrees with the x-axis. In the first image there are no walls. In the 2nd a wall is placed at y=0. In the 3rd one wall is placed at y=0 and one at y=0.000015]]  
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As the above figures show, there is quite a difference depending on how many walls you take into consideration. We decided to keep working with both the single-wall and the double-wall flowfields.
As the above figures show, there is quite a difference depending on how many walls you take into consideration. We decided to keep working with both the single-wall and the double-wall flowfields.
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In the following figure we have made many of these runs, but with varying average start-angle </p>
In the following figure we have made many of these runs, but with varying average start-angle </p>
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[[Image:Team-SDU-Denmark--2010-start slut.jpeg|thumb|center|580px|''Figure 5'': Shows the mean end angle as a function of the mean start angle, predicted by the 2D model.]]
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[[Image:Team-SDU-Denmark--2010-start slut.jpeg|thumb|center|580px|'''Figure 5''': Shows the mean end angle as a function of the mean start angle, predicted by the 2D model.]]
<p style="text-align: justify;">As the figure shows a very small deviation in the starting angle will cause a much bigger deviation in the end. The flagella in the systems used for making this graph were all lying down, but to which side the flagella went was highly dependent on the start configuration. When the mean angle was zero corresponding to a vertical flagellum it was pretty much 50-50, but when the start angles were pushed a bit to one side it had a tendency to shift the entire system in that direction. This tells us that if you can control the starting angle, it will go a long way towards creating a uniform flow.
<p style="text-align: justify;">As the figure shows a very small deviation in the starting angle will cause a much bigger deviation in the end. The flagella in the systems used for making this graph were all lying down, but to which side the flagella went was highly dependent on the start configuration. When the mean angle was zero corresponding to a vertical flagellum it was pretty much 50-50, but when the start angles were pushed a bit to one side it had a tendency to shift the entire system in that direction. This tells us that if you can control the starting angle, it will go a long way towards creating a uniform flow.
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The stationary model, does not offer much when it comes to dynamics and interesting behavior, which should not surprise anyone. It does however offer us the opportunity to investigate at which angle the flow in the tube is highest, which could be helpful when planning how to optimize the use of bacteria as a source of flow.</p>
The stationary model, does not offer much when it comes to dynamics and interesting behavior, which should not surprise anyone. It does however offer us the opportunity to investigate at which angle the flow in the tube is highest, which could be helpful when planning how to optimize the use of bacteria as a source of flow.</p>
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[[Image:Team-SDU-Denmark-hastighed-vinkel-2.jpg|thumb|center|550px|''Figure 6'': Shows the mean velocity in the z(perpendicular to the surface) and y(parallel to the surface) direction as a function of the flagella agle, pridicted by the static model.]]
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[[Image:Team-SDU-Denmark-hastighed-vinkel-2.jpg|thumb|center|550px|'''Figure 6''': Shows the mean velocity in the z(perpendicular to the surface) and y(parallel to the surface) direction as a function of the flagella agle, pridicted by the static model.]]
<p style="text-align: justify;">The above figure shows the average flow velocity as a function of the angle of the flagella. In the above case only one wall is taken into account. The one of most importance is the top-one which shows the flow velocity parallel to the tube. According to these figures we get the best velocity at an angle of around 0.7 rad or approximately 40 degrees, where the angle is measured from the axis perpendicular to the wall.
<p style="text-align: justify;">The above figure shows the average flow velocity as a function of the angle of the flagella. In the above case only one wall is taken into account. The one of most importance is the top-one which shows the flow velocity parallel to the tube. According to these figures we get the best velocity at an angle of around 0.7 rad or approximately 40 degrees, where the angle is measured from the axis perpendicular to the wall.
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[5] Reicherta M., Stark H., ''Synchronization of rotating helices by hydrodynamic interactions'', Eur. Phys. J. E 17, 493-500. (2005)
[5] Reicherta M., Stark H., ''Synchronization of rotating helices by hydrodynamic interactions'', Eur. Phys. J. E 17, 493-500. (2005)
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[6] Turner L., Ryu W. S., Berg H.C., [http://www.ncbi.nlm.nih.gov/pubmed/10781548 ''Real-Time Imaging of Fluorescent Flagellar Filaments''], JOURNAL OF BACTERIOLOGY, 2793–2801. (2000)
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[6] Turner L., Ryu W. S., Berg H.C., [http://jb.asm.org/cgi/content/full/182/10/2793?view=long&pmid=10781548 ''Real-Time Imaging of Fluorescent Flagellar Filaments''], JOURNAL OF BACTERIOLOGY, 2793–2801. (2000)
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[7] http://commons.wikimedia.org/wiki/File:Flagellum_base_diagram.svg
[7] http://commons.wikimedia.org/wiki/File:Flagellum_base_diagram.svg
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[8] Uchida N., Golestanian R., ''Synchronization and Collective Dynamics in A Carpet of Microfluidic Rotors''. (2009)
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[8] Uchida N., Golestanian R., [http://prl.aps.org/abstract/PRL/v104/i17/e178103 ''Synchronization and Collective Dynamics in A Carpet of Microfluidic Rotors''], Phys. Rev. Lett. 104 178103 (2009)
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Latest revision as of 20:34, 27 October 2010