Four-layer theory for the acoustic shear wave sensor in liquids incorporating interfacial slip and liquid structure

Duncan-Hewitt, Wendy C.; Thompson, Michael

doi:10.1021/ac00025a017

Cited by 110 publications

(62 citation statements)

References 86 publications

(45 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Therefore, different biological systems and measurement conditions should be carefully studied in order to select or to develop the correct sensor model representation. Modeling of the sensor response is an area of ongoing, very active research, and though significant progress has been made in the last several years, many issues still need to be addressed [103], [104]. Among them are the molecular nature of the electro-bio-mechanical boundary conditions, interfacial viscoelasticity, and the development of dedicated computational techniques.…”

Section: ) Acoustic Waves Piezoelectric Transducers and Acoustic Sementioning

confidence: 99%

Emerging biomedical sensing technologies and their applications

2003

View full text Add to dashboard Cite

Abstract-Recent progress in biomedical sensing technologies has resulted in the development of several novel sensor products and new applications. Modern biomedical sensors developed with advanced microfabrication and signal processing techniques are becoming inexpensive, accurate, and reliable. A broad range of sensing mechanisms has significantly increased the number of possible target measurands that can be detected. The miniaturization of classical "bulky" measurement techniques has led to the realization of complex analytical systems, including such sensors as the BioChemLab-on-a-Chip. This rapid progress in miniature devices and instrumentation development will significantly impact the practice of medical care as well as future advances in the biomedical industry. Currently, electrochemical, optical, and acoustic wave sensing technologies have emerged as some of the most promising biomedical sensor technologies. In this paper, important features of these technologies, along with new developments and some of the applications, are presented.

show abstract

Section: ) Acoustic Waves Piezoelectric Transducers and Acoustic Sementioning

confidence: 99%

Emerging biomedical sensing technologies and their applications

2003

View full text Add to dashboard Cite

show abstract

“…20 To create a mathematical relation for a slip boundary condition does not assign a physical origin to the slip parameter. In one sense a slip parameter may be a mechanism to account for a diffuse interface, while in another it may relate directly to a discontinuity of the first molecular layer of the liquid.…”

Section: Introductionmentioning

confidence: 99%

Surface roughness and interfacial slip boundary condition for quartz crystal microbalances

McHale

Newton

2004

Journal of Applied Physics

View full text Add to dashboard Cite

The response of a quartz crystal microbalance ͑QCM͒ is considered using a wave equation for the substrate and the Navier-Stokes equations for a finite liquid layer under a slip boundary condition. It is shown that when the slip length to shear wave penetration depth is small, the first-order effect of slip is only present in the frequency response. Importantly, in this approximation the frequency response satisfies an additivity relation with a net response equal to a Kanazawa liquid term plus an additional Sauerbrey ''rigid'' liquid mass. For the slip length to result in an enhanced frequency decrease compared to a no-slip boundary condition, it is shown that the slip length must be negative so that the slip plane is located on the liquid side of the interface. It is argued that the physical application of such a negative slip length could be to the liquid phase response of a QCM with a completely wetted rough surface. Effectively, the model recovers the starting assumption of additivity used in the trapped mass model for the liquid phase response of a QCM having a rough surface. When applying the slip boundary condition to the rough surface problem, slip is not at a molecular level, but is a formal hydrodynamic boundary condition which relates the response of the QCM to that expected from a QCM with a smooth surface. Finally, possible interpretations of the results in terms of acoustic reflectivity are developed and the potential limitations of the additivity result should vapor trapping occur are discussed.

show abstract

“…This is not surprising because for the thickness-shear mode we are considering the normal impedance should be a higher-order effect. Substituting (10), (15), and (17) into (8) 1 , and retaining terms linear in α n , we obtain an approximate dispersion relation accurate to the second order of the small in-plane wave numbers ξ and ν:…”

Section: And B (2)mentioning

confidence: 99%

Scalar Differential Equation for Slowly-Varying Thickness-Shear Modes in AT-Cut Quartz Resonators With Surface Impedance for Acoustic Wave Sensor Application

Yang

Kosinski

2013

IEEE Sensors J.

View full text Add to dashboard Cite

Abstract-For time-harmonic motions, we generalize a 2-D scalar differential equation derived previously by Tiersten for slowly-varying thickness-shear vibrations of AT-cut quartz resonators. The purpose of the generalization is to include the effects of surface acoustic impedance from, e.g., mass layers or fluids for sensor applications. In addition to the variation of fields along the plate thickness, which is considered in the usual 1-D acoustic wave sensor models, the equation obtained also describes in-plane variations of the fields, and therefore can be used to study the vibrations of finite plate sensors with edge effects. The equation is compared with the theory of piezoelectricity in the special cases of acoustic waves and pure thickness vibrations in unbounded plates. An example of a finite rectangular plate is also given.

show abstract

Four-layer theory for the acoustic shear wave sensor in liquids incorporating interfacial slip and liquid structure

Cited by 110 publications

References 86 publications

Emerging biomedical sensing technologies and their applications

Emerging biomedical sensing technologies and their applications

Surface roughness and interfacial slip boundary condition for quartz crystal microbalances

Scalar Differential Equation for Slowly-Varying Thickness-Shear Modes in AT-Cut Quartz Resonators With Surface Impedance for Acoustic Wave Sensor Application

Contact Info

Product

Resources

About