Islamic Azad University - Arak BranchJournal of Solid Mechanics2008-350511220190630Axially Symmetric Vibrations of a Liquid-Filled Poroelastic Thin Cylinder Saturated with Two Immiscible Liquids Surrounded by a Liquid27228066590710.22034/jsm.2019.665907ENBSandhyaraniDepartment of Mathematics, Osmania University, Hyderabad, IndiaJAnand RaoDepartment of Mathematics, Osmania University, Hyderabad, IndiaPMalla ReddyDepartment of Mathematics, Kakatiya University, Warangal, IndiaJournal Article20190201This paper studies axially symmetric vibrations of a liquid-filled poroelastic thin cylinder saturated with two immiscible liquids of infinite extent that is surrounded by an inviscid elastic liquid. By considering the stress free boundaries, the frequency equation is obtained. Particular case, namely, liquid-filled poroelastic cylinder saturated with single liquid is discussed. When the wavenumber is large, the frequency equation is reduced to that of Rayleigh-type surface wave at the plane boundary of a poroelastic half-space. In this case, the asymptotic expressions of Bessel functions and modified Bessel functions are used. In both general and particular cases, the case of the propagation of Rayleigh waves in a poroelastic half-space is obtained. The parameter values of Columbia fine sandy loam saturated with air-water mixture are used for the numerical evaluation. In all the cases, phase velocity as a function of wavenumber is computed and presented graphically. From the numerical results, some inferences are drawn.http://jsm.iau-arak.ac.ir/article_665907_6d0b524ef345a1efe855262d6a4cb71b.pdf