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Some Physical Systems Based on 2-D Granular Model: From Locomotive Organs to Asteroid Construction
1. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 1
Some Physical Systems Based on 2-D
Granular Model: From Locomotive Organs to
Asteroid Construction
S. Viridi1,2,*
, A. Purqon1
, R. Mauludin3
, N. Nuraini4
, V. Suendo5
, F. Haryanto1
,
B. Dermawan6
, S. N. Khotimah1
, Widayani1
, M. A. Martoprawiro5
, Suprijadi1,2
,
M. Abdullah1,
L.Hendrajaya1
1
Phyiscs Department, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
2
Research Center for Nanosciences and Nanotechnology, Jalan Ganesa 10, Bandung 40132, Indonesia
3
School of Pharmacy, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
4
Mathematics Department, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
5
Chemistry Department, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
6
Astronomy Department, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
*dudung@fi.itb.ac.id
2. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 2
Outline
• Molecular dynamics method
• Some physical systems:
Locomotive organ, Tablet dissolution,
Particle deposition, Yeast colony development,
Tree vibration model, Rotary kiln,
Asteroid construction
• Summaries
3. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 3
Molecular dynamics method
4. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 4
Molecular dynamics method
• Newton’s second law of motion
• Euler algorithm
( )
( ) ( ) ( ) ( )[ ] ( ) ( )[ ]
∑≠
+
=
ij i
iiijijiij
i
m
tvtrFtvtvtrtrF
ta
,,,,
( ) ( ) ( ) ttatvttv iii ∆+=∆+
( ) ( ) ( ) tttvtrttr iii ∆∆++=∆+
5. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 5
Locomotive organ
6. Motion based on pressure
• Force due to cell swelling and shrinking
• Systems of cells: 1, 2, and 3
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
6
S. Viridi, N. Nuraini, "Self-Motion Mechanism of Chained Spherical Grains Cells", in Symposium on Biomathematics-2013, edited by H. Arimura et
al., AIP Conference Proceedings 1587, American Institute of Physics, Melville, NY, 2014, pp. 123-126.
∫=
i
i ApdF
7. Results
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 7
no displacement
8. Motion based on friction
• Spring force for "muscle“
• Drag force from fluid environment
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 8
( ) ijijijijij rlrkS ˆ−−=
( )
fi
fi
dfi
vv
vv
CAD
−
−
=
2
2
1
ρ
S. Viridi, N. Nuraini, "Simulation of Single Microorganism Motion in Fluid based on Granular Model", in Symposium on Biomathematics-2015,
edited by Y. Takeuchi and M. Apri, AIP Conference Proceedings 1723, American Institute of Physics, Melville, NY, 2016, pp. 030022.
9. In phase or out of phase?
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 9
http://www.uky.edu/Classes/ENT/574/insects/
soybean_insects/gcw/gcw_images.htm
in phase with muscle
oscillation
out of phase with muscle oscillation
10. Results (φD – φS = π/2)
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
10
11. Multiple locomotive organ
• How about multiple organ?
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
11
N. Nuraini, S. Viridi, F. Haryanto, S. N. Khotimah, "Molecular Dynamics Simulation of Microorganism Motion in Fluid Based on Granular Model in
the Case of Multiple Simple Push-Pull filaments", in Symposium on Biomathematics-2016, edited by B. Benyamin and Kasbawati, AIP Conference
Proceedings 1825, American Institute of Physics, Melville, NY, 2017, pp. 020016.
12. Results: Δφj,j+1 = 2π/M
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
12
13. Re..: M = 4, φj/T = 0.3, 0.4, 0.5, 0.6
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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14. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 14
Tablet dissolution
15. Osaka University, Japan, 9 August
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Quantum Engineering Design Workshop on Materials Design and
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Model
• Cluster of particles
>
≤−
=
,,0
,,ˆ2
Gij
Gijij
ij
ji
G
ij
Rr
Rrr
r
mm
k
G
S. Viridi, Suprijadi, R. Mauludin, H. Hertiasa, "Modeling of Two-Dimension Solid Dissolution Based on Granular Particle Interaction: A Simple
Approach for Tablet Dissolution Simulation in 2-D", ICPAPS, Yogyakarta, Indonesia, 7-8 September 2015, viXra:1510.0403 | 2015-10-27.
16. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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Model (cont.)
• Interaction between
clusters of particles
ij
ij
NijijNij v
dt
d
rkN ˆˆ
ξ
γξ −=
17. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
17
Dissolution mechanism
• Fluid particles erode the aggregate (tablet)
18. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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Results
19. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 19
20. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 20
Particle deposition
21. Model
• Sudden "sticky" force >> other forces
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 21
S. Viridi, Suprijadi, V. Suendo, "Simulasi Deposisi Berdasarkan Penumbuhan Butiran Menggunakan Dinamika Molekular", Research and
Development on Nanotechnology in Indonesia 2 (2), 68-79 (2015).
22. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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Results
23. Results (cont.)
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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24. Porosity of (3-d) particle system
• Short range repulsive force between grains
• Gravitation
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 24
R. R. Septiawan, S. Viridi, Suprijadi, "The Effect of Particle Size Ratio on Porosity of a Particles Deposition Process", Key Engineering Materials
675-676 (6), 647-650 (2016).
ij
ij
NijijNij v
dt
d
rkN ˆˆ
ξ
γξ −=
gmG ii
=
25. Results: Binary mixture
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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26. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 26
Yeast colony development
27. Model
• Similar attractive force as previous
• repulsion force
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2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 27
D Aprianti, S. N. Khotimah, S. Viridi, "Budding Yeast Colony Growth Study Based on Circular Granular Cell", Journal of Physics: Conference Series
739 (1), 012026 (2016).
ij
ij
ji
Gij r
r
mm
kG ˆ2
−=
ij
ij
NijijNij v
dt
d
rkN ˆˆ
ξ
γξ −=
28. Model (cont.)
• also viscous force
• and new
cell birth
and growth
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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ii vDD
ηπ3−=
29. Results
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2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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30. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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D. Aprianti, F. Haryanto, A. Purqon, S. N. Khotimah, S. Viridi, "Study of Budding Yeast Colony Formation and its Characterizations by using Circular
Granular Cell", Journal of Physics: Conference Series 694 (1), 012079 (2016).
θ1=π/4, θ2=0, π/4, θ3=π/2, 5π/4, π,
θ4=0, π/2, π, 3π/2
31. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 31
Tree vibration model
32. Tree model
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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S. Viridi, P. Patana, S. A. Subrata, H. Hertiasa, M. Abdullah, "In Searching of Trees Natural Vibration Frequency Based on Granular Particles
Interactions and Vibration", Proceedings of International Seminar on Biological Sciences (ISBS 2015), Eds. P. Paton et al., Medan, Indonesia, 17
October 2015, pp. 113-122.
33. Forces
• Gravitation
• Drag force from wind
• Bending force among
three particles
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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gmG ii
=
( )wii vvDD
−−= ηπ3
( ) ( )ijkijjkij
ij
B
ijkij
ij
B
ijk rrr
r
c
r
r
c
B θτ ˆˆ1ˆ
2
ˆ ⋅−×−=×=
34. Results
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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35. Results (cont.)
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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36. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 36
Rotary kiln
37. Model
• Normal force
• Gravitation
• Rotating liner
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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R. Sari, P. M. Widartiningsih, M. A. Martoprawiro, L. Hendrajaya, S. Viridi, "Simulation of Semi-Autogenous Grinding (SAG) Mill using Circular-
Disks-based Model", ICCSE 2017, Indonesia, Bandung, 10-12 July 2017.
ij
ij
NijijN
N
ij v
dt
d
rkF ˆˆ
ξ
γξ −=
gmG ii
=
38. Results
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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39. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 39
Asteroid construction
40. Model
• Attractive force (similar as previous)
• and repulsion force
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications 40
S. Viridi, B. Dermawan, "Cluster compaction of two-dimension spherical particles binary mixture as model of forming process of an asteroid",
Journal of Physics: Conference Series 771 (1), 012028 (2016).
ij
ij
ji
G
G
r
r
mm
kFij ˆ2
−=
ij
ij
NijijN
N
ij v
dt
d
rkF ˆˆ
ξ
γξ −=
41. Forces range
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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42. Results
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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43. Monodispersed system
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S. Viridi, B. Dermawan, "Tumbukan Tak-Elastik Partikel sebagai Model Terbentuknya Asteroid", Spektra: Jurnal Fisika dan Aplikasinya 2 (1), 53-60
(2017).
44. Attractive force between intruder?
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
Instrumentation for Clean Energy Applications
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P. M. Widartiningsih, S. N. Khotimah, B. Dermawan, S. Viridi, "Simulasi Pembentukan Asteroid dengan Variasi Massa dan Ukuran Partikel", SENFA
2017, Indonesia, Jatinangor, 22 Juli 2017.
45. Evolution
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Quantum Engineering Design Workshop on Materials Design and
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46. Final distance between intruders
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47. Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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Summaries
48. Summaries
• A (2-d) granular based model can be used in
some of physical systems with different scales
• But it is still lack of experiment confirmation
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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49. Acknowledgment
• Visit to Osaka University is supported by
research scheme PUPT from Kemenristekdikti
of Republik Indonesia in year 2017 with
principal investigator Prof. Bobby Eka Gunara
Osaka University, Japan, 9 August
2017
Quantum Engineering Design Workshop on Materials Design and
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50. Osaka University, Japan, 9 August
2017
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Thank you