Team:SDU-Denmark/project-m

From 2010.igem.org

(Difference between revisions)
(6. A stationary 2-D model)
(3. Description of model)
Line 59: Line 59:
Here R is the vector from the mirrorpoint of the force to the point where the flow is to be calculated.
Here R is the vector from the mirrorpoint of the force to the point where the flow is to be calculated.
-
The two formulas above are based on [[https://2010.igem.org/Team:SDU-Denmark/project-m#Litterature 8]]
+
The two formulas above are based on [[https://2010.igem.org/Team:SDU-Denmark/project-m#Litterature 8]].
-
 
+
-
In our case the system we are trying to describe is a microtube. This means that the width of the tube is so small, that the forces created by the flagella are not only close to the wall to which the flagella are stuck, but also close to the opposite wall. This presents an interesting problem. Since the Oseen-Blake tensor works by creating a mirrorpoint of the real force on the opposite side of the wall, we will need a mirrorpoint behind the other wall if we are to uphold the no-slip condition. But the mirror forces also affect the flow near the other wall. In order to cancel this effect one could create another mirrorforce, corresponding to each of the mirror forces, but of course these would obstruct each other to, requirering yet more mirror forces. In the end we decided, to see how precise the system would be for one mirrorpoint behind each wall. This corresponds to taking the above equation and adding the three last terms once more, but with the mirrorvector corresponding to the other wall.
+
-
 
+
 +
In our case the system we are trying to describe is a microtube. This means that the width of the tube is so small, that the forces created by the flagella are not only close to the wall to which the bacteria are stuck, but also close to the opposite wall. This presents an interesting problem. Since the Oseen-Blake tensor works by creating a mirrorpoint of the real force on the opposite side of the wall, we will need a mirrorpoint behind the other wall if we are to uphold the no-slip condition. But the mirror forces also affect the flow near the other wall. In order to cancel this effect one could create another mirrorforce, corresponding to each of the mirror forces, but of course these would obstruct each other to, requirering yet more mirror forces. In the end we decided to see how precise the system would be for one mirrorpoint behind each wall. This corresponds to taking the equation above and adding the three last terms once more, but with the mirrorvector corresponding to the other wall.<br>
The flowfield corresponding to this is shown below.
The flowfield corresponding to this is shown below.

Revision as of 14:49, 24 October 2010