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

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< Biomod | 2012 | Titech/Nano-Jugglers

# 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

### Calculation for Speed

**Bubbles detachment helps Biomolecular Rocket go straightforward.**- The Biomolecular Rocket is accelerated 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.

### Directional Calculation

**Where bubbles generation occured is determined randomly on the hemisphere surface with catalytic engine.**

- We defined angle θ as bubbles detachment direction.
- θ is determined by uniformed numbers.
- Bubbles detachment supply the Biomolecular Rocket velocity of opposite direciton.

## 2. Fluid resistance

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

## 3. Translational Brownian displacement

**Translational Brownian movement prevents Biomolecular Rocket from going straight forward.**- This is because body of the Biomolecular 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