In the article number 2200357 Tomonaga Ueno, and co-workers report an ultralight single-walled carbon nanotube (SWCNT) aerogel for low-frequency sound absorption, with a hierarchical porous structure high-modulus framework. The Biot–Johnson–Champoux–Allard model indicates significant effect of high elastic modulus SWCNT on absorption.

Biot’s theory of porous media is discussed in detail and critically. It is pointed out that the use of two and only two displacement fields has a certain arbitrariness, and that models with additional displacement fields are possible. Biot’s expression for the strain-energy per unit volume is justified in part, but it is pointed out that additional terms might be included. The theory in the low...

A mathematical model for the startup period of a fixed-bed reactor with first-order reaction kinetics, axial dispersion and film mass transfer resistance was formulated and solved analytically using Laplace transform. The solution can be used to correlate or predict the reactant concentration profiles in the effluent of the reactor. The effects of both the Peclet number and Biot number on the e...

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...

iii Abstract The goal of this research is to provide a framework for vibro-acoustical analysis and design of a multiple-layer constrained damping structure. The existing research on damping and viscoelastic damping mechanism is limited to the following four mainstream approaches: modeling techniques of damping treatments/materials; control through the electrical-mechanical effect using the piez...

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.

We present three fast adaptive vortex methods for the 2D Eu-ler equations. All obtain long-time accuracy at almost optimal cost by using four tools: adaptive quadrature, free-Lagrangian formulation, the fast multipole method and a nonstandard error analysis. Our error analysis halves the diierentiability required of the ow, suggests an eecient new balance of smoothing parameters , and combines ...