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

### From OpenWetWare

(Difference between revisions)

Line 1: | Line 1: | ||

{{Titech/Nano-Jugglers/HEAD}} | {{Titech/Nano-Jugglers/HEAD}} | ||

- | + | =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<sub>d</sub> seconds . | ||

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

+ | :We defined growth of bubbles | ||

+ | :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. | ||

{| | {| | ||

+ | | | ||

+ | ::[[Image:TNJFormula1.png|250px]] | ||

+ | | | ||

+ | ::[[Image:TNJConstant1.png|250px]] | ||

|- | |- | ||

- | |||

| | | | ||

- | + | ::[[Image:TNJFormula10.png|250px]] | |

- | + | | | |

+ | ::[[Image:TNJ_Constant2.png|250px]] | ||

|} | |} | ||

+ | |||

+ | |||

+ | :'''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 | ||

+ | ::[[Image:TNJFormula9.png|200px]] | ||

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

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

+ | :'''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 | ||

+ | {| | ||

+ | | | ||

+ | ::[[Image:TNJFormula7.png|200px]] | ||

+ | | | ||

+ | ::[[Image:TNJFormula8.png|200px]] | ||

+ | |} | ||

+ | ==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 | ||

+ | ::[[Image:TNJFormula5.png|200px]] | ||

+ | ::[[Image:TNJFormula6.png|200px]] | ||

+ | |||

+ | |||

+ | ==Parameters Setting== | ||

+ | |||

+ | |||

+ | ==Methods== |

## Revision as of 18:41, 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
- 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