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

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

:We defined growth of bubbles as | :We defined growth of bubbles as | ||

- | ::[[ | + | ::[[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>. | ||

:We defined these v<sub>i</sub> and Δt<sub>d</sub> as following formula. | :We defined these v<sub>i</sub> and Δt<sub>d</sub> as following formula. |

## Revision as of 20:16, 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 Δt
_{d}seconds . - Bubbles detachments occur when fixed time Δt
_{d}passed. - We defined growth of bubbles as
- Δt
_{d}is defined as the time which is required bubbles to reach its detachment radius R_{d}. - We defined these v
_{i}and Δt_{d}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