Biomod/2012/Titech/Nano-Jugglers/Simulation
From OpenWetWare
(Difference between revisions)
(→1. Driving forces from Bubble detachment) |
|||
| Line 17: | Line 17: | ||
::[[Image:TNJFormula1.png|250px]] | ::[[Image:TNJFormula1.png|250px]] | ||
| | | | ||
| - | ::[[Image: | + | ::[[Image:TNJconstant1.png|250px]] |
|- | |- | ||
| | | | ||
::[[Image:TNJFormula10.png|250px]] | ::[[Image:TNJFormula10.png|250px]] | ||
| | | | ||
| - | ::[[Image: | + | ::[[Image:TNJ constant2.png|250px]] |
|} | |} | ||
Revision as of 19:42, 27 October 2012
Simulation Models
Physical principles for simulations
- We confirm the movement of rocket on 2D plots in simulation.
- We assumed that movement of biomolecular rocket is affected by following four forces and dynamics in simulation.
1. Driving forces from Bubble detachment
- Biomolecular rocket accelerates by a single bubble detachment every Δtd seconds .
- Bubbles detachments occur when fixed time Δtd passed.
- We defined growth of bubbles
- Δtd is defined as the time which is required bubbles to reach its detachment radius Rd.
- We defined these vi and Δtd as following formula.
|
|
|
|
|
|
- It helps Biomolecular Rocket go straightforward.
2. Fluid resistance
- Fluid resistance depends on the velocity of Biomolecular Rocket and viscosity of solution.
- Resistance is defined as
- Therefore, acceleration of Biomolecular Rocket is
- It decreases speed of Biomolecular Rocket.
3. Translational Brownian displacement
- Translational Brownian movement prevents Biomolecular Rocket from going straight forward.
- This is because body of rocket is so small and smaller particles can't be controlled under Brownian Movement.
- Translational displacement by Brownian movement is described as
|
|
|
4. Rotatory Brownian changes
- Rotatory Brownian movement decreases the directional controllability of Biomolecular Rocket.
- Movement of Biomolecular Rocket is also much influenced by Rotatory Brownian Movement
- Rotatory changes by Brownian movement is described as
