# Biomod/2012/Titech/Nano-Jugglers/Simulation

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(→1. Driving forces from Bubble detachment) |
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==1. Driving forces from Bubble detachment== | ==1. Driving forces from Bubble detachment== | ||

+ | ===Speed=== | ||

:'''Bubbles detachment helps Biomolecular Rocket go straightforward.''' | :'''Bubbles detachment helps Biomolecular Rocket go straightforward.''' | ||

:Biomolecular rocket accelerates by a single bubble detachment every Δt<sub>d</sub> seconds . | :Biomolecular rocket accelerates by a single bubble detachment every Δt<sub>d</sub> seconds . | ||

:Bubbles detachments occur when fixed time Δt<sub>d</sub> passed. | :Bubbles detachments occur when fixed time Δt<sub>d</sub> passed. | ||

- | :We defined radius of bubbles | + | :We defined radius changes of bubbles with time as following formula. |

::[[Image:TNJFormula12.png|250px]] | ::[[Image:TNJFormula12.png|250px]] | ||

:Δt<sub>d</sub> is defined as the time which is required bubbles to reach its detachment radius R<sub>d</sub>. | :Δt<sub>d</sub> is defined as the time which is required bubbles to reach its detachment radius R<sub>d</sub>. | ||

::[[Image:TNJFormula13.png|250px]] | ::[[Image:TNJFormula13.png|250px]] | ||

- | :We defined | + | :We defined velocity v<sub>i</sub> produced by single detachment and Δt<sub>d</sub> as following formula. |

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::[[Image:TNJ constant2.png|400px]] | ::[[Image:TNJ constant2.png|400px]] | ||

|} | |} | ||

+ | ===Direction=== | ||

==2. Fluid resistance== | ==2. Fluid resistance== |

## Revision as of 20:39, 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

### Speed

**Bubbles detachment helps Biomolecular Rocket go straightforward.**- Biomolecular rocket accelerates by a single bubble detachment every Δt
_{d}seconds . - Bubbles detachments occur when fixed time Δt
_{d}passed. - We defined radius changes of bubbles with time as following formula.
- Δt
_{d}is defined as the time which is required bubbles to reach its detachment radius R_{d}. - We defined velocity v
_{i}produced by single detachment and Δt_{d}as following formula.

### Direction

## 2. Fluid resistance

**Fluid resistance decreases speed of Biomolecular Rocket.**- Fluid resistance depends on the velocity of Biomolecular Rocket and viscosity of solution.
- Resistance is defined as
- Therefore, acceleration of Biomolecular Rocket is

## 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