Biomod/2012/Titech/Nano-Jugglers/Simulation: Difference between revisions
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{{Titech/Nano-Jugglers/HEAD}} | {{Titech/Nano-Jugglers/HEAD}} | ||
=Simulation Models= | =Simulation Models= | ||
::[[Image:Simulation models.png|800px]] | |||
==Physical principles for simulations== | ==Physical principles for simulations== | ||
:We confirm the movement of rocket on 2D plots in simulation. | :We confirm the movement of rocket on 2D plots in simulation. | ||
Line 8: | Line 8: | ||
==1. Driving forces from Bubble detachment== | ==1. Driving forces from Bubble detachment== | ||
:Biomolecular | ===1.1. Calculation for Speed=== | ||
:'''Bubbles detachment helps Biomolecular Rocket go straightforward.''' | |||
:The Biomolecular Rocket is accelerated by a single bubble detachment every Δt<sub>d</sub> seconds . | |||
:Bubbles detachments occur when fixed time Δt<sub>d</sub> passed. | :Bubbles detachments occur when fixed time Δt<sub>d</sub> passed. | ||
:We defined | :We defined radius changes of bubbles with time as following formula. | ||
::[[ | ::[[Image:TNJFormula12.png|250px]] | ||
: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>. | ||
:We defined | ::[[Image:TNJFormula13.png|250px]] | ||
:We defined velocity v<sub>i</sub> produced by single detachment and Δt<sub>d</sub> as following formula. | |||
{| | {| | ||
| | | | ||
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::[[Image:TNJFormula10.png|250px]] | ::[[Image:TNJFormula10.png|250px]] | ||
| | | | ||
::[[Image:TNJ constant2.png| | ::[[Image:TNJ constant2.png|275px]] | ||
|} | |} | ||
===1.2. 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 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]] | |||
|} | |||
==2. Fluid resistance== | ==2. Fluid resistance== | ||
:Fluid resistance depends on the velocity of Biomolecular Rocket and viscosity of solution. | :'''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 | :Resistance is defined as | ||
::[[Image:TNJFormula9.png|200px]] | ::[[Image:TNJFormula9.png|200px]] | ||
:Therefore, acceleration of Biomolecular Rocket is | :Therefore, acceleration of the Biomolecular Rocket is | ||
{| | |||
| | |||
::[[Image:TNJFormula4.png|200px]] | ::[[Image:TNJFormula4.png|200px]] | ||
: | | | ||
::[[Image:TNJConstant5.png|300px]] | |||
|} | |||
==3. Translational Brownian displacement== | ==3. Translational Brownian displacement== | ||
:'''Translational Brownian movement prevents Biomolecular Rocket from going straight forward.''' | :'''Translational Brownian movement prevents Biomolecular Rocket from going straight forward.''' | ||
:This is because body of | :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 | :Translational displacement by Brownian movement is described as | ||
{| | {| | ||
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::[[Image:TNJFormula8.png|200px]] | ::[[Image:TNJFormula8.png|200px]] | ||
| | | | ||
::[[Image:TNJconstant3.png| | ::[[Image:TNJconstant3.png|300px]] | ||
|} | |} | ||
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::[[Image:TNJconstant4.png|400px]] | ::[[Image:TNJconstant4.png|400px]] | ||
|} | |} | ||
::::::>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]] | |||
=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) |
Latest revision as of 01:29, 28 October 2012
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} </style> </head> <BODY> <div id="biomodlink"> <<a href="http://openwetware.org/wiki/Biomod">BIOMOD</a>|<a href="http://openwetware.org/wiki/Biomod/2012">2012</a>|Titech Nano-Jugglers </div> <div id="header"> <div id="navigation"> <div id="menu"> <ul> <li><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers"><br>Home<br><br></a></li> <li><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Team/Students"><br>Team<br><br></a></li> <li><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Project"><br>Project<br><br></a></li> <li><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Results">Results<br>&<br>Methods</a></font></li> <li class="ach"><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Achievements"><br>Achievements<br><br></a> <li class="sup"><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Protocols"><br>Suppl. Info.<br><br></a></li> <li class="none"><a href="http://openwetware.org/wiki/Biomod/2012/Titech/Nano-Jugglers/Acknowledgement"><br>Acknowledgements<br><br></a></li> </ul> </div> </div> </div> </BODY> </html>
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.
1.2. 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
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)