Transient Propagation of Spherical Waves in Porous Material: Application of Fractional Calculus
نویسندگان
چکیده
A fractional-order wave equation is established and solved for a space of three dimensions using spherical coordinates. An equivalent fluid model used in which the acoustic propagates only saturating porous medium; this special case Biot’s theory obtained by symmetry Lagrangian (invariance translation rotation). The basic solution time domain analytically calculating Green’s function medium properties Laplace transforms. Fractional derivatives are to describe, domain, fluid–structure interactions, inertial, viscous, thermal kind. represents radiation field emitted point source. important result study that fractional expressed recurrence relations consequence modified Bessel third kind, physical equation. This theoretical work with analytical results opens up prospects resolution forward inverse problems allowing characterization waves.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2022
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym14020233