Biomod/2012/Titech/Nano-Jugglers/Simulation
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::[[Image:TNJ constant2.png|400px]] | ::[[Image:TNJ constant2.png|400px]] | ||
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| + | ===Directional Calculation=== | ||
| + | :'''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. | ||
| + | :θ is determined by uniformed numbers. | ||
| + | :Bubbles detachment supply the Biomolecular Rocket velocity of opposite direciton. | ||
==2. Fluid resistance== | ==2. Fluid resistance== | ||
Revision as of 02:41, 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 Δtd seconds .
- Bubbles detachments occur when fixed time Δtd passed.
- We defined radius changes of bubbles with time as following formula.
- Δtd is defined as the time which is required bubbles to reach its detachment radius Rd.
- We defined velocity vi produced by single detachment and Δtd as following formula.
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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
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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
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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
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