Ultrasonic Scattering by a Spheroidal Suspension Including Dissipative Effects

Hasheminejad, Seyyed M.; Sanaei, R.

doi:10.1080/01932690701524984

Cited by 4 publications

(1 citation statement)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Electromagnetic scattering by buried spheroidal bodies can be found in [45,46,14]. The implication of separation of variables techniques, gives birth to the spheroidal wave functions [41,42] which play an important role to the solution of boundary value problems with spheroidal interfaces [67,26].…”

Section: Introductionmentioning

confidence: 99%

Single and multiple acoustic scattering with applications to bioengineering

Mavrantzas¹,

Μαυρατζάς²

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Single and multiple acoustic scattering with applications to bioengineering

Mavrantzas¹,

Μαυρατζάς²

View full text Add to dashboard Cite

Scattering from two eccentric spheroids: Theory and numerical investigation

Mavratzas¹,

Charalambopoulos²,

Gergidis³

2010

International Journal of Engineering Science

View full text Add to dashboard Cite

Ultrasonic scattering by a fluid cylinder of elliptic cross section, including viscous effects

Hasheminejad

Sanaei

2008

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

View full text Add to dashboard Cite

This paper analyzes acoustic scattering by a viscous compressible fluid cylinder of elliptic cross section submerged in an unbounded viscous nonheat-conducting compressible fluid medium. The classical method of eigenfunction expansion along with the appropriate wave field expansions and the pertinent boundary conditions are used to develop a solution in the form of infinite series involving Mathieu and modified Mathieu functions of complex arguments. The complications arising due to the nonorthogonality of angular Mathieu functions corresponding to distinct wave numbers in addition to the problems associated with the appearance of additional angular-dependent terms in the boundary conditions are all avoided in an elegant manner by expansion of the angular Mathieu functions in terms of transcendental functions and subsequent integration, leading to a linear set of independent equations in terms of the unknown scattering coefficients. A multiprecision code was developed for computing the Mathieu functions of complex argument in terms of complex Fourier coefficients that are themselves calculated by numerically solving appropriate sets of eigen-systems. The numerical results point to the imperative influence of fluid viscosity in notable reduction of pressure amplitudes at intermediate and high frequencies. They also reveal the central role of the cross sectional ellipticity in conjunction with the angle of incidence in altering the pressure directivities. Limiting cases are considered, and fair agreements with well-known solutions are obtained.

show abstract

Ultrasonic Scattering by a Spheroidal Suspension Including Dissipative Effects

Cited by 4 publications

References 57 publications

Single and multiple acoustic scattering with applications to bioengineering

Single and multiple acoustic scattering with applications to bioengineering

Scattering from two eccentric spheroids: Theory and numerical investigation

Ultrasonic scattering by a fluid cylinder of elliptic cross section, including viscous effects

Contact Info

Product

Resources

About