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Revision as of 20:24, 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

::	::Image:TNJConstant14.png

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

Methods