Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube

Win Jet Luo, Jia Kun Chen, Ruey-Jen Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A backwards-Euler time-stepping numerical method is applied to simulate the transient response of electroosmotic flow in a curved microtube. The velocity responses of the flow fields induced by applied sinusoidal AC electric fields of different frequencies are investigated. The transient response of the system is fundamentally important since both the amplitude and the time duration of the transient response must be maintained within tolerable or prescribed limits. When a sinusoidal AC electric field is applied, the transient response of the output velocity oscillates in the time-domain. However, after a certain settling time, the output velocity attains a sustained oscillation with the same amplitude as the driving field. In this study, the transient response of the electroosmotic flow is characterized by the time taken by the velocity response to reach the first peak, the peak of the sustained oscillation, the maximum overshoot, the settling time, and the bandwidth of the sustained oscillations in the time-domain. Meanwhile, the performance of the system is identified by plotting the output velocity response and the output velocity phase-shift against the frequency of the applied signal. A finite time is required for the momentum to diffuse fully from the walls to the center of the curved microtube cross-section. As the applied frequency is increased, the maximum overshoot and the bandwidth and peak of the sustained oscillations gradually decrease since insufficient time exists for the momentum to diffuse fully to the center of the microtube. Additionally, the phase-shift between the applied electric field and the output velocity response gradually increases as the frequency of the applied signal is increased.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Conference on Microchannels and Minichannels, 2005
Pages377-384
Number of pages8
VolumePART B
Publication statusPublished - 2005
Event3rd International Conference on Microchannels and Minichannels, ICMM2005 - Toronto, ON, Canada
Duration: 2005 Jun 132005 Jun 15

Other

Other3rd International Conference on Microchannels and Minichannels, ICMM2005
CountryCanada
CityToronto, ON
Period05-06-1305-06-15

Fingerprint

Frequency domain analysis
Time domain analysis
Electric fields
Transient analysis
Phase shift
Momentum
Bandwidth
Numerical methods
Flow fields

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Luo, W. J., Chen, J. K., & Yang, R-J. (2005). Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube. In Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005 (Vol. PART B, pp. 377-384). [ICMM2005-75033]
Luo, Win Jet ; Chen, Jia Kun ; Yang, Ruey-Jen. / Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube. Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005. Vol. PART B 2005. pp. 377-384
@inproceedings{aadb011c4ead43fa9d96a1e036068445,
title = "Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube",
abstract = "A backwards-Euler time-stepping numerical method is applied to simulate the transient response of electroosmotic flow in a curved microtube. The velocity responses of the flow fields induced by applied sinusoidal AC electric fields of different frequencies are investigated. The transient response of the system is fundamentally important since both the amplitude and the time duration of the transient response must be maintained within tolerable or prescribed limits. When a sinusoidal AC electric field is applied, the transient response of the output velocity oscillates in the time-domain. However, after a certain settling time, the output velocity attains a sustained oscillation with the same amplitude as the driving field. In this study, the transient response of the electroosmotic flow is characterized by the time taken by the velocity response to reach the first peak, the peak of the sustained oscillation, the maximum overshoot, the settling time, and the bandwidth of the sustained oscillations in the time-domain. Meanwhile, the performance of the system is identified by plotting the output velocity response and the output velocity phase-shift against the frequency of the applied signal. A finite time is required for the momentum to diffuse fully from the walls to the center of the curved microtube cross-section. As the applied frequency is increased, the maximum overshoot and the bandwidth and peak of the sustained oscillations gradually decrease since insufficient time exists for the momentum to diffuse fully to the center of the microtube. Additionally, the phase-shift between the applied electric field and the output velocity response gradually increases as the frequency of the applied signal is increased.",
author = "Luo, {Win Jet} and Chen, {Jia Kun} and Ruey-Jen Yang",
year = "2005",
language = "English",
isbn = "0791841855",
volume = "PART B",
pages = "377--384",
booktitle = "Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005",

}

Luo, WJ, Chen, JK & Yang, R-J 2005, Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube. in Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005. vol. PART B, ICMM2005-75033, pp. 377-384, 3rd International Conference on Microchannels and Minichannels, ICMM2005, Toronto, ON, Canada, 05-06-13.

Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube. / Luo, Win Jet; Chen, Jia Kun; Yang, Ruey-Jen.

Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005. Vol. PART B 2005. p. 377-384 ICMM2005-75033.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube

AU - Luo, Win Jet

AU - Chen, Jia Kun

AU - Yang, Ruey-Jen

PY - 2005

Y1 - 2005

N2 - A backwards-Euler time-stepping numerical method is applied to simulate the transient response of electroosmotic flow in a curved microtube. The velocity responses of the flow fields induced by applied sinusoidal AC electric fields of different frequencies are investigated. The transient response of the system is fundamentally important since both the amplitude and the time duration of the transient response must be maintained within tolerable or prescribed limits. When a sinusoidal AC electric field is applied, the transient response of the output velocity oscillates in the time-domain. However, after a certain settling time, the output velocity attains a sustained oscillation with the same amplitude as the driving field. In this study, the transient response of the electroosmotic flow is characterized by the time taken by the velocity response to reach the first peak, the peak of the sustained oscillation, the maximum overshoot, the settling time, and the bandwidth of the sustained oscillations in the time-domain. Meanwhile, the performance of the system is identified by plotting the output velocity response and the output velocity phase-shift against the frequency of the applied signal. A finite time is required for the momentum to diffuse fully from the walls to the center of the curved microtube cross-section. As the applied frequency is increased, the maximum overshoot and the bandwidth and peak of the sustained oscillations gradually decrease since insufficient time exists for the momentum to diffuse fully to the center of the microtube. Additionally, the phase-shift between the applied electric field and the output velocity response gradually increases as the frequency of the applied signal is increased.

AB - A backwards-Euler time-stepping numerical method is applied to simulate the transient response of electroosmotic flow in a curved microtube. The velocity responses of the flow fields induced by applied sinusoidal AC electric fields of different frequencies are investigated. The transient response of the system is fundamentally important since both the amplitude and the time duration of the transient response must be maintained within tolerable or prescribed limits. When a sinusoidal AC electric field is applied, the transient response of the output velocity oscillates in the time-domain. However, after a certain settling time, the output velocity attains a sustained oscillation with the same amplitude as the driving field. In this study, the transient response of the electroosmotic flow is characterized by the time taken by the velocity response to reach the first peak, the peak of the sustained oscillation, the maximum overshoot, the settling time, and the bandwidth of the sustained oscillations in the time-domain. Meanwhile, the performance of the system is identified by plotting the output velocity response and the output velocity phase-shift against the frequency of the applied signal. A finite time is required for the momentum to diffuse fully from the walls to the center of the curved microtube cross-section. As the applied frequency is increased, the maximum overshoot and the bandwidth and peak of the sustained oscillations gradually decrease since insufficient time exists for the momentum to diffuse fully to the center of the microtube. Additionally, the phase-shift between the applied electric field and the output velocity response gradually increases as the frequency of the applied signal is increased.

UR - http://www.scopus.com/inward/record.url?scp=27744485984&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27744485984&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0791841855

VL - PART B

SP - 377

EP - 384

BT - Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005

ER -

Luo WJ, Chen JK, Yang R-J. Time- and frequency- domain analysis of transient electroosmotic flow induced by sinusoidal ac electric field in a curved microtube. In Proceedings of the 3rd International Conference on Microchannels and Minichannels, 2005. Vol. PART B. 2005. p. 377-384. ICMM2005-75033