Difference between revisions of "Biomod/2012/Titech/Nano-Jugglers/Simulation"

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(Calculation for Speed)
 
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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.'''
: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 .  
 
:Bubbles detachments occur when fixed time Δt<sub>d</sub> passed.
 
:Bubbles detachments occur when fixed time Δt<sub>d</sub> passed.
 
:We defined radius changes of bubbles with time as following formula.
 
:We defined radius changes of bubbles with time as following formula.
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::[[Image:TNJFormula10.png|250px]]
 
::[[Image:TNJFormula10.png|250px]]
 
|
 
|
::[[Image:TNJ constant2.png|400px]]
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::[[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 decreases speed of Biomolecular Rocket.'''
+
:'''Fluid resistance decreases speed of the Biomolecular Rocket.'''
:Fluid resistance depends on the velocity of Biomolecular Rocket and viscosity of solution.
+
: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
 
{|
 
{|
 
|
 
|
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==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 rocket is so small and smaller particles can't be controlled under Brownian Movement.
+
: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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::::::>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]]
 +
 +
=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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