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

### From OpenWetWare

(Difference between revisions)

(→2. Fluid resistance) |
(→2. Fluid resistance) |
||

Line 36: | Line 36: | ||

:Therefore, acceleration of Biomolecular Rocket is | :Therefore, acceleration of Biomolecular Rocket is | ||

{| | {| | ||

- | |::[[Image:TNJFormula4.png|200px]] | + | | |

- | |::[[Image:TNJConstant14.png|300px]] | + | ::[[Image:TNJFormula4.png|200px]] |

+ | | | ||

+ | ::[[Image:TNJConstant14.png|300px]] | ||

|} | |} | ||

:'''It decreases speed of Biomolecular Rocket.''' | :'''It decreases speed of Biomolecular Rocket.''' |

## Revision as of 20:25, 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 radius of bubbles changes 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 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