+44 (0)1509 263171
Please use this identifier to cite or link to this item:
|Title: ||Acoustic propagation in dispersions in the long wavelength limit|
|Authors: ||Pinfield, Valerie J.|
Povey, Malcolm J.W.
|Keywords: ||Helmholtz equation|
|Issue Date: ||2006|
|Publisher: ||© Society for Industrial and Applied Mathematics|
|Citation: ||PINFIELD, V.J., HARLEN, O.G., POVEY, M.J.W. ... et al, 2006. Acoustic propagation in dispersions in the long wavelength limit. SIAM Journal on Applied Mathematics, 66 (2), pp.489-509.|
|Abstract: ||The problem of scattering of ultrasound by particles in the long wavelength limit
has a well-established solution in terms of Rayleigh expansions of the scattered fields. However,
this solution is ill-conditioned numerically, and recent work has attempted to identify an alternative
method. The scattered fields have been expressed as a perturbation expansion in the parameter Ka
(the wavenumber multiplied by the particle radius), which is small in the long wavelength region.
In the work reported here the problem has been formulated so as to be valid for all values of the
thermal wavelength, which varies in order of magnitude, from much smaller to much larger than
the particle size in the long wavelength region. Thus the present solution overlaps the limiting
solutions for very small thermal wavelength (geometric theory) and very large thermal wavelength
(low frequency) previously reported. Close agreement is demonstrated with the established Rayleigh
|Description: ||This journal article was published in the serial, SIAM Journal on Applied Mathematics [© SIAM ] and is also available at: http://epubs.siam.org/journal/smjmap|
|Publisher Link: ||http://epubs.siam.org/journal/smjmap|
|Appears in Collections:||Published Articles (Chemical Engineering)|
Files associated with this item:
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.