By D. S. Ballantine, Jr.,Robert M. White,S. J. Martin, et al.Elsevier|Elsevier Science||Academic PressAdult NonfictionScience, TechnologyLanguage(s): EnglishOn sale date: 13.05.2011Street date: 21.10.1996
Written through an interdisciplinary crew of specialists from either and academia, Acoustic Wave Sensors presents an in-depth examine the present nation of acoustic wave units and the scope in their use in chemical, biochemical, and actual measurements, in addition to in engineering purposes. end result of the inherent interdisciplinary functions of those units, this publication can be worthy for the chemist and biochemist attracted to the use and improvement ofthese sensors for particular functions; engineer considering the layout and development of those units; the chemical engineer and the biotechnologist drawn to utilizing those units for procedure tracking and keep an eye on; and the sensor neighborhood at large.
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Additional info for Acoustic Wave Sensors. Theory, Design, & Physico-Chemical Applications
2 (b). 16) A dispersion relation such as this allows one to calculate the phase velocity 5of the waves, given by v= ω/k. 14 indicate that v2=v3= (c44/ρ)1/2. 4 Calculate the compressional and shear wave velocities in aluminum and polyethylene. 11 reduced to equations for three uncoupled modes capable of propagating along the x axis of a cubic crystal. Under such conditions, the propagation direction is referred to as a pure-mode direction. In general, pure modes result when waves are propagating along a symmetry plane of a crystal and have polarization perpendicular to or parallel to this plane.
41) is used. 7. 39 is ∂u3/∂x1= −jku3. 43) As mentioned previously, the energy stored in crystal deformation becomes kinetic energy one quarter of a cycle later. Thus, an energy conservation principle (known as the Rayleigh principle) applies to waves propagating in a lossless medium: peak strain energy density must equal peak kinetic energy density. One can apply this concept to calculate the wave velocity: an acoustic wave propagates at the velocity for which peak kinetic energy density exactly equals peak strain energy density.
Since Δα/k and Δv/v0 are orthogonal components of Δγ′, parametric representation is a means of displaying the perturbation in the complex plane, a strategy that often yields a simpler and/or more distinctive form than is characteristic of individual plots of Δv/v0 or Δα/k. References 1. Auld, B. A. Acoustic Fields and Waves in Solids. New York: Wiley, 1973. 2. Ch. 1 Landau, L. , Lifshitz, E. M. 3rd ed.. Theory of Elasticity. Pergamon, New York, 1986. 3. , Goncharov, V. Mechanics of Continua and Wave Dynamics.
Acoustic Wave Sensors. Theory, Design, & Physico-Chemical Applications by D. S. Ballantine, Jr.,Robert M. White,S. J. Martin, et al.Elsevier|Elsevier Science||Academic PressAdult NonfictionScience, TechnologyLanguage(s): EnglishOn sale date: 13.05.2011Street date: 21.10.1996