Biomod/2012/Titech/Nano-Jugglers/Simulation
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==1. Driving forces from Bubble detachment== | ==1. Driving forces from Bubble detachment== | ||
| - | ===Calculation for Speed=== | + | ===1.1. Calculation for Speed=== |
:'''Bubbles detachment helps Biomolecular Rocket go straightforward.''' | :'''Bubbles detachment helps Biomolecular Rocket go straightforward.''' | ||
:The Biomolecular Rocket is accelerated by a single bubble detachment every Δt<sub>d</sub> seconds . | :The Biomolecular Rocket is accelerated by a single bubble detachment every Δt<sub>d</sub> seconds . | ||
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::[[Image:TNJFormula10.png|250px]] | ::[[Image:TNJFormula10.png|250px]] | ||
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| - | ::[[Image:TNJ constant2.png| | + | ::[[Image:TNJ constant2.png|275px]] |
| + | |} | ||
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| + | ===1.2. 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 in the area where catalytic engines are still attacched. | ||
| + | :Bubbles detachment supply the Biomolecular Rocket velocity of opposite direciton. | ||
| + | |width="30px"| | ||
| + | <br> | ||
| + | | | ||
| + | [[Image:Directional.jpg|180px]] | ||
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::::::>back to [[Biomod/2012/Titech/Nano-Jugglers/Results#2.2._Numerical_estimation_of_the_speed_of_the_Biomolecular_Rocket|Results 2.2. Numerical estimation of the speed of the Biomolecular Rocket]] | ::::::>back to [[Biomod/2012/Titech/Nano-Jugglers/Results#2.2._Numerical_estimation_of_the_speed_of_the_Biomolecular_Rocket|Results 2.2. Numerical estimation of the speed of the Biomolecular Rocket]] | ||
::::::>back to [[Biomod/2012/Titech/Nano-Jugglers/Results#3.3._Directional_control_of_the_Biomolecular_Rocket_by_the_photo-switchable_DNA_system|Results 3.3 Directional control of Biomolecular Rocket by the photo-switchable DNA system]] | ::::::>back to [[Biomod/2012/Titech/Nano-Jugglers/Results#3.3._Directional_control_of_the_Biomolecular_Rocket_by_the_photo-switchable_DNA_system|Results 3.3 Directional control of Biomolecular Rocket by the photo-switchable DNA system]] | ||
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| + | =Tools= | ||
| + | *Scilab | ||
| + | =References= | ||
| + | *J. G. Gibbs and Y.-P. Zhao (2009) ''Autonomously motile catalytic nanomotors by bubble propulsion.'' University of Georgia, Athens, Georgia 30602, USA, American Institute of Physics. | ||
| + | *V. A. KiriUov and V. P. Patskov (1979) ''SOME REGULARITIES OF BUBBLE GROWTH UNDER CHEMICAL REACTION.'' Institute of Catalysis, Novosibirsk, USSR, React. Kinet. Catal. Lett., Vol. 11, No. 1, 15-19 (1979) | ||
Current revision
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
1.1. 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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1.2. Directional Calculation
- Where bubbles generation occured is determined randomly on the hemisphere surface with catalytic engine.
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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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Tools
- Scilab
References
- J. G. Gibbs and Y.-P. Zhao (2009) Autonomously motile catalytic nanomotors by bubble propulsion. University of Georgia, Athens, Georgia 30602, USA, American Institute of Physics.
- V. A. KiriUov and V. P. Patskov (1979) SOME REGULARITIES OF BUBBLE GROWTH UNDER CHEMICAL REACTION. Institute of Catalysis, Novosibirsk, USSR, React. Kinet. Catal. Lett., Vol. 11, No. 1, 15-19 (1979)
