In this paper we present and analyze a fully-mixed formulation for the coupled problem arising in interaction between free fluid poroelastic medium. The flows regions are governed by Stokes Biot equations, respectively, transmission conditions given mass conservation, balance of stresses, Beavers-Joseph-Saffman law. We apply dual-mixed formulations both domains, where symmetry stress tensors is...

The Ampère theorem and the Biot–Savart law are well known tools used to calculate magnetic fields created by currents. Their use is not limited to the case of magnetostatics; they can also be used in time-dependent problems. We show in this paper that the highly classical example of a straight wire,generally treated as a simple magnetostatics problem, should be considered in the framework of ti...

Three-dimensional flow of non-Newtonian fluid induced by a stretching surface has been studied. The constitutive equations of Maxwell fluid are used. The surface possesses convective boundary conditions. Computations have been carried out for the non-linear problem. Convergence of the obtained solutions is discussed. Impact of the influential parameters involved in the heat transfer analysis is...

The onset of square convective cells in fluid layers heated from below is investigated. Amplitude equations are deduced from the Boussinesq equations and a standard stability analysis is performed. Square cells are shown to be preferred when the instability is mainly capillarity driven. The influence of the Prandtl and Biot numbers are examined. At small Pr, the Biot number has not very much in...

The author has shown that measured shear wave speed dispersion and attenuation in water-saturated silica sand can be predicted by using a gap stiffness model incorporated into the Biot model (the BIMGS model) [Kimura, J. Acoust. Soc. Am. 134, 144-155 (2013)]. In this study, the grain-size dependence of shear wave speed dispersion and attenuation in four kinds of water-saturated silica sands wit...

A variant of the Biot–Johnson model of a poroelastic material is investigated to see if the viscosity of the interstitial fluid is significant in the ultrasound insonification of non-defatted cancellous bone. The equations of motion are derived using a Lagrangian formulation. Numerical experiments are performed on various bone samples. It is shown that the viscosity of the interstitial fluid do...

The Rayleigh wave propagation problem in the elastic halfspace — viscoelastic layer interface was analysed in the paper. The problem was formulated in the Fourier–Laplace space using the Biot viscoelastic solid model. The characteristic equation has taken the Rayleigh equation form with correction term describing viscoelastic layer properties influence on the wave velocity. The approach present...

In a 1836 publication on astronomical refractions, Biot (1774–1862) introduced change of variable, which would become classical, in order to numerically calculate the refraction integral. This renders well-behaved integral, case when celestial body is seen horizon. also proves beautiful theorem, giving local vertical angular magnification such addition, he comments various atmospheric models.