Difference between revisions of "Biomod/2012/Titech/Nano-Jugglers/Simulation"

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(1. Driving forces from Bubble detachment)
(Speed)
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==1. Driving forces from Bubble detachment==
 
==1. Driving forces from Bubble detachment==
===Speed===
+
===Calculation for Speed===
 
:'''Bubbles detachment helps Biomolecular Rocket go straightforward.'''
 
:'''Bubbles detachment helps Biomolecular Rocket go straightforward.'''
 
:Biomolecular rocket accelerates by a single bubble detachment every Δt<sub>d</sub> seconds .  
 
:Biomolecular rocket accelerates by a single bubble detachment every Δt<sub>d</sub> seconds .  
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::[[Image:TNJ constant2.png|400px]]
 
::[[Image:TNJ constant2.png|400px]]
 
|}
 
|}
 +
 
===Direction===
 
===Direction===
  

Revision as of 18:18, 27 October 2012


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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.
Biomolecular rocket accelerates by a single bubble detachment every Δtd seconds .
Bubbles detachments occur when fixed time Δtd passed.
We defined radius changes of bubbles with time as following formula.
File:TNJFormula12.png
Δtd is defined as the time which is required bubbles to reach its detachment radius Rd.
File:TNJFormula13.png
We defined velocity vi produced by single detachment and Δtd as following formula.
File:TNJFormula1.png
File:TNJconstant1.png
File:TNJFormula10.png
File:TNJ constant2.png

Direction

2. Fluid resistance

Fluid resistance decreases speed of Biomolecular Rocket.
Fluid resistance depends on the velocity of Biomolecular Rocket and viscosity of solution.
Resistance is defined as
File:TNJFormula9.png
Therefore, acceleration of Biomolecular Rocket is
File:TNJFormula4.png
File:TNJConstant5.png

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
File:TNJFormula7.png
File:TNJFormula8.png
File:TNJconstant3.png

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
File:TNJFormula5.png
File:TNJFormula6.png
File:TNJconstant4.png


Methods