Modeling, analysis and design of centrifugal force-driven transient filling flow into a circular microchannel

Kim, Dong Sung; Kwon, Tai Hun

doi:10.1007/s10404-005-0053-8

Cited by 21 publications

(18 citation statements)

References 15 publications

(17 reference statements)

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“…4. It should be noted that the region occupied by fluid is increasing as flow proceeds since l(t) increases with the time, which is a peculiar nature of this transient flow (Kim and Kwon 2006). One might recognize that the domain of z at t = 0 is null so that the velocity field is not defined at t = 0.…”

Section: Governing Equationsmentioning

confidence: 96%

“…It should be noted that the exponent D, in this study, is the most important parameter to govern the centrifugal force driven transient filling flow into the rectangular microchannel as discussed like in Kim and Kwon (2006). D represents an inverse of a characteristic time indicating how fast the filling flow front into the rectangular microchannel advances: the higher D is, the faster flow front advances.…”

Section: Exact Solutionmentioning

confidence: 97%

“…And moreover, it can offer a simple design guide at the first design step so that the design time and cost could be remarkably reduced. In this regard, we have already carried out the physical modeling and analysis for the centrifugal force driven transient filling flow into a circular microchannel and suggested the simple design equations for the circular microchannel (Kim and Kwon 2006). However, the cross-sectional geometry of microchannels which were fabricated by the conventional photolithography is usually rectangular rather than circular in most practical cases.…”

Section: Introductionmentioning

confidence: 98%

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Modeling, analysis and design of centrifugal force driven transient filling flow into rectangular microchannel

Kim

Kwon

2006

Microsyst Technol

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Recently, centrifugal pumping has been discovered to be an excellent alternative method for controlling the fluid flow inside microchannels. In this paper, we have developed the physical modeling and carried out the analysis for the centrifugal force driven transient filling flow into a rectangular microchannel. Two types of analytic solutions for the transient flow were obtained: (1) a pseudo-static approximate solution, and (2) an exact solution. Analytic solutions include expressions for flow front advancement, detailed velocity profile and pressure distribution. The obtained analytical results show that the filling flow driven by centrifugal force is affected by three dimensionless parameters which combine fluid properties, rectangular channel geometry and processing condition of rotational speed. Effects of inertia, viscous and centrifugal forces were also discussed based on the parametric study. Furthermore, we have also successfully provided a simple and convenient analytical design tool for such rectangular microchannels, demonstrating two design application examples.

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Section: Governing Equationsmentioning

confidence: 96%

Section: Exact Solutionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 98%

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Modeling, analysis and design of centrifugal force driven transient filling flow into rectangular microchannel

Kim

Kwon

2006

Microsyst Technol

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“…To demonstrate the Euler force actuation mechanism for siphon valving, the mathematical modeling is implemented based on the extension of the work of Wang et al 17 and Kim et al 18 The Cartesian coordinate system, with the reference frame fixed on the rotating platform, is adopted. The fluid flow in the siphon valve is the typical two-phase flow formed by the common motion of liquid and air.…”

Section: Modelingmentioning

confidence: 99%

Euler force actuation mechanism for siphon valving in compact disk-like microfluidic chips

et al. 2014

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Based on the Euler force induced by the acceleration of compact disk (CD)-like microfluidic chip, this paper presents a novel actuation mechanism for siphon valving. At the preliminary stage of acceleration, the Euler force in the tangential direction of CD-like chip takes the primary place compared with the centrifugal force to function as the actuation of the flow, which fills the siphon and actuates the siphon valving. The Euler force actuation mechanism is demonstrated by the numerical solution of the phase-field based mathematical model for the flow in siphon valve. In addition, experimental validation is implemented in the polymethylmethacrylate-based CD-like microfluidic chip manufactured using CO 2 laser engraving technique. To prove the application of the proposed Euler force actuation mechanism, whole blood separation and plasma extraction has been conducted using the Euler force actuated siphon valving. The newly introduced actuation mechanism overcomes the dependence on hydrophilic capillary filling of siphon by avoiding external manipulation or surface treatments of polymeric material. The sacrifice for highly integrated processing in pneumatic pumping technique is also prevented by excluding the volume-occupied compressed air chamber. V C 2014 AIP Publishing LLC. [http://dx

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“…The permeability of a channel on a microfluidic CD has been calculated and measured [34][35][36][37] to be…”

Section: A Microfluidic Cdsmentioning

confidence: 99%

Invited Review Article: Review of centrifugal microfluidic and bio-optical disks

Nolte

2009

Review of Scientific Instruments

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Spinning biodisks have advantages that make them attractive for specialized biochip applications. The two main classes of spinning biodisks are microfluidic disks and bio-optical compact disks ͑BioCD͒. Microfluidic biodisks take advantage of noninertial pumping for lab-on-a-chip devices using noninertial valves and switches under centrifugal and Coriolis forces to distribute fluids about the disks. BioCDs use spinning-disk interferometry, under the condition of common-path phase quadrature, to perform interferometric label-free detection of molecular recognition and binding. The optical detection of bound molecules on a disk is facilitated by rapid spinning that enables high-speed repetitive sampling to eliminate 1 / f noise through common-mode rejection of intensity fluctuations and extensive signal averaging. Multiple quadrature classes have been developed, such as microdiffraction, in-line, phase contrast, and holographic adaptive optics. Thin molecular films are detected through the surface dipole density with a surface height sensitivity for the detection of protein spots that is approximately 1 pm. This sensitivity easily resolves a submonolayer of solid-support immobilized antibodies and their antigen targets. Fluorescence and light scattering provide additional optical detection techniques on spinning disks. Immunoassays have been applied to haptoglobin using protein A/G immobilization of antibodies and to prostate specific antigen. Small protein spots enable scalability to many spots per disk for high-throughput and highly multiplexed immonoassays.

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Modeling, analysis and design of centrifugal force-driven transient filling flow into a circular microchannel

Cited by 21 publications

References 15 publications

Modeling, analysis and design of centrifugal force driven transient filling flow into rectangular microchannel

Modeling, analysis and design of centrifugal force driven transient filling flow into rectangular microchannel

Euler force actuation mechanism for siphon valving in compact disk-like microfluidic chips

Invited Review Article: Review of centrifugal microfluidic and bio-optical disks

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