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Phone:
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Fax:
cetin@clarkson.edu
(315) 268-6514
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Photo-Acoustics Research Laboratory
Photo-Acoustics Research Laboratory
Dept. of Mechanical and Aero. Engineering
Clarkson University
Potsdam, New York 13699-5725
Microspheres in Acoustic
Fields:
Rolling Moment Resistance and
Work-of-Adhesion
Measurements
Çetin Çetinkaya
1
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
Photo-Acoustics Research Laboratory
M. D. M. Peri and C. Cetinkaya, Applied Physics Letters, Vol. 86, 2005.
Microspheres in Acoustic Fields:
Rolling Moment Resistance and
Work-of-Adhesion
2
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
Substrate
Transducer
Laser
Spot
21.4 mm PSL
Photo-Acoustics Research Laboratory
Excitation Pulse
Coupling
Gel
Interferometer Head
Output Signal
Laser
Spot
Laser
Spot
Vibrational Motion of Particles in Acoustic Fields
3
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
β
1
r3 2 δ 3 2 −
β
2α
r3 4 δ 3 4
M = 6πW A ( D / 2) 2 θ
• Measured work of adhesion: 18.4 mJ/m2
• Measured rocking frequency: 64.1 kHz
• Rocking frequency (calculated): 72.4 kHz
• Axial resonance frequency: 1.83 MHz
• Work of adhesion (literature): 23.5 mJ/m2
• PSL on Si substrate
M. D. Murthy Peri and C. Cetinkaya, Journal of Colloid and Interface Science, Vol. 288, 2005.
M. D. Murthy Peri and C. Cetinkaya, Philosophical Magazine
A, Vol.Research
85, No. Laboratory
13, 2005.
Photo-Acoustics
FA =
Axial Vibration vs. Rocking Motion
4
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
Displacement(nm)
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
0
50
100
150
200
T im e ( µ s e c )
P 1 75kH z 400V
250
300
350
400
-6
0
50 52
1
2
3
4
5
x 10
54
56
58
60 62
64
66
68
70 72
74
76
Photo-Acoustics Research Laboratory
78
80 82
84
M u ltip lic a t io n F a c t o r (4 .3 3 )-P 1 7 5 k H z 4 0 0 V
F re q (k H z )
M. D. Murthy Peri and C. Cetinkaya, under review for publication in Applied Physics Letters.
-6
-4
-2
0
2
4
6
6
7
8
86
88
90 92
94
96
98 100
W a fe r
P a rtic le
5
• Further Research: Shifts of resonance frequencies indicate
nonlinearity and/or dissipation (capillary effect)
• Measured work of adhesion: 26.16 mJ/m2
• Measured rocking frequency: 76.5 kHz
• Measured rocking amplitude: θmax~ 0.06 deg
• The rocking frequency is calculated as 72.4 kHz
• Air-coupled excitation at 75kHz
Air-Coupled Excitation of Rocking Motion
(amplitude)
Photo-Acoustics Research Laboratory
W. Ding, A. Howard, M.D. Peri and C. Cetinkaya, under review for publication in Philosophical Magazine .
6
• Detachment force is much larger
than rolling force;
• Particle has to be glued to a
cantilever;
• Adhesion measurement based on
detachment is difficult;
Contact Experiments: Rolling Moment Resistance
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007
Work-of-adhesion of PSL particles on silicon substrates are measured in a noncontact manner;
Acoustic excitation of PSL particle has been demonstrated;
A contact method work-of-adhesion measurement method that does not require any
size information prior to testing has been developed and presented; Critical rolling
distances are reported.
Reference papers are listed in this document for further examination.
•
•
•
•
Photo-Acoustics Research Laboratory
Experimental evidence on existence of rolling resistance moment in a non-contact
way, for the first time, has been presented;
•
Conclusions and Remarks
7
Dept. of Mechanical and Aeronautical Engineering, Clarkson University – February 7, 2007