Biomod/2012/Titech/NanoJugglers/Simulation
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(→1. Driving forces from Bubble detachment) 
(→Directional Calculation) 

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:'''Where bubbles generation occured is determined randomly on the hemisphere surface with catalytic engine.'''  :'''Where bubbles generation occured is determined randomly on the hemisphere surface with catalytic engine.'''  
+  {  
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:We defined angle θ as bubbles detachment direction.  :We defined angle θ as bubbles detachment direction.  
:θ is determined by uniformed numbers.  :θ is determined by uniformed numbers.  
:Bubbles detachment supply the Biomolecular Rocket velocity of opposite direciton.  :Bubbles detachment supply the Biomolecular Rocket velocity of opposite direciton.  
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+  [[Image:Directional.jpg130px]]  
+  }  
==2. Fluid resistance==  ==2. Fluid resistance== 
Revision as of 02:46, 28 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
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.

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