Biomod/2012/Titech/Nano-Jugglers/Simulation
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:Δt<sub>d</sub> is defined as the time which is required bubbles to reach its detachment radius R<sub>d</sub>. | :Δt<sub>d</sub> is defined as the time which is required bubbles to reach its detachment radius R<sub>d</sub>. | ||
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:We defined these v<sub>i</sub> and Δt<sub>d</sub> as following formula. | :We defined these v<sub>i</sub> and Δt<sub>d</sub> as following formula. | ||
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Revision as of 20:18, 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 Δtd seconds .
- Bubbles detachments occur when fixed time Δtd passed.
- We defined radius of bubbles changes with time as following formula.
- Δtd is defined as the time which is required bubbles to reach its detachment radius Rd.
- We defined these vi and Δtd as following formula.
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- 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
- 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
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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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