On the transient solutions of three acoustic wave equations: van Wijngaarden’s equation, Stokes’ equation and the time-dependent diffusion equation

2008 ◽  
Vol 124 (4) ◽  
pp. 1909-1920 ◽  
Author(s):  
Michael J. Buckingham
Keyword(s):  
Diffusion Equation ◽  
Acoustic Wave ◽  
Stokes Equation ◽  
Wave Equations ◽  
Time Dependent ◽  
Transient Solutions

First-Order Acoustic Wave Equations and Scattering by Atmospheric Turbules.

1997 ◽  
Author(s):  
George H. Goedecke ◽  
Michael DeAntonio ◽  
Harry J. Auvermann
Keyword(s):  
Acoustic Wave ◽  
Wave Equations ◽  
First Order

scholarly journals Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

2015 ◽  
Vol 12 (02) ◽  
pp. 249-276
Author(s):  
Tomonari Watanabe
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Space Time ◽  
Time Dependent ◽  
Nonlinear Wave Equations ◽  
Energy Estimates ◽  
Space Region ◽  
Decay Estimates ◽  
Dissipative Term

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.

THE TEMPERATURE DISTRIBUTION PRODUCED BY ACOUSTIC ABSORPTION: I. MACROSCOPIC TREATMENT

1966 ◽  
Vol 44 (12) ◽  
pp. 3001-3011 ◽  
Author(s):  
S. Simons
Keyword(s):  
Temperature Distribution ◽  
Acoustic Wave ◽  
Numerical Results ◽  
Time Dependent ◽  
Acoustic Absorption ◽  
Space And Time

A calculation is given of the temperature distribution in space and time produced by the absorption of an acoustic wave propagated inside a medium, under conditions in which the situation may be described macroscopically. The problem is considered for various geometries, and for both constant and time-dependent energies of the incident acoustic wave. Numerical results are obtained, and a discussion is given of their relevance to various experiments.

scholarly journals Flexible thin-film acoustic wave devices with off-axis bending characteristics for multisensing applications

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Zhangbin Ji ◽  
Jian Zhou ◽  
Huamao Lin ◽  
Jianhui Wu ◽  
Dinghong Zhang ◽  
...  
Keyword(s):  
Acoustic Wave ◽  
Flexible Electronics ◽  
Wave Equations ◽  
Uv Light ◽  
Theoretical Calculations ◽  
Complex Deformation ◽  
Widespread Application ◽  
Glass Substrates ◽  
Saw Devices ◽  
Acoustic Wave Devices

AbstractFlexible surface acoustic wave (SAW) devices have recently attracted tremendous attention for their widespread application in sensing and microfluidics. However, for these applications, SAW devices often need to be bent into off-axis deformations between the acoustic wave propagation direction and bending direction. Currently, there are few studies on this topic, and the bending mechanisms during off-axis bending deformations have remained unexplored for multisensing applications. Herein, we fabricated aluminum nitride (AlN) flexible SAW devices by using high-quality AlN films deposited on flexible glass substrates and systematically investigated their complex deformation behaviors. A theoretical model was first developed using coupling wave equations and the boundary condition method to analyze the characteristics of the device with bending and off-axis deformation under elastic strains. The relationships between the frequency shifts of the SAW device and the bending strain and off-axis angle were obtained, and the results were identical to those from the theoretical calculations. Finally, we performed proof-of-concept demonstrations of its multisensing potential by monitoring human wrist movements at various off-axis angles and detecting UV light intensities on a curved surface, thus paving the way for the application of versatile flexible electronics.

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