The paper deals with the integral equation approach to steady kinematic dynamo models in finite domains based on Biot-Savart’s law. The role of the electric potential at the boundary is worked out explicitly. As an example, a modified version of the simple spherical α-effect dynamo model proposed by Krause and Steenbeck is considered in which the α-coefficient is no longer constant but may vary...

Shear viscous drag within the thin fluid film at the contact between grains in water-saturated sand is an important loss mechanism for high-frequency sound in the Biot-Stoll plus contact squirt flow and shear viscous drag (BICSQS) model [J. Acoust. Soc. Am. 116, 2011-2022 (2004)]. Couette flow was assumed for the shear drag but it breaks down when inertial effects within the film become signifi...

We begin with the initial-boundary-value problem for a coupled system of partial differential equations which describes the Biot consolidation model in poroelasticity. Existence, uniqueness and regularity theory is developed for the quasi-static case as an application of the theory of linear degenerate evolution equations in Hilbert space, and this leads to a precise description of the dynamics...

We use the lubrication approximation to investigate the unsteady gravity-driven draining of a thin rivulet of Newtonian fluid with temperature-dependent viscosity down a substrate that is either uniformly hotter or uniformly colder than the surrounding atmosphere. First we derive the general nonlinear evolution equation for a thin film of fluid with an arbitrary dependence of viscosity on tempe...

In Ref. [ 1 ] the propagation of a longitudinal slow mode parallel to an applied magnetic field has been observed in a magneto-rheological slurry. This mode has been discussed in terms of a Biot slow compressional wave as it is found in porous fluid-saturated media [ 1-3 ]. The slow mode described in ref. 1 is only observed in the presence of an external magnetic field. This feature all by itse...

As a reaction to the increasing noise pollution, caused by the expansion of airports close to residential areas, porous trailing edges are investigated to reduce the aeroacoustic noise produced by flow around the airframe. Besides mechanical and acoustical investigations of porous materials, the fouling behavior of promising materials is an important aspect to estimate the performance in long-t...

has been verified experimentally when the charge moves inside a magnetic medium for which B is much larger than μ0H [9]. 3 It is sometimes preferable that the force law be given in term of the total magnetic field on the current, in which case it is generally best (in the author’s opinion) to use the Maxwell stress tensor [8]. In 1908 Einstein and Laub [10, 11, 12] argued that the force density...

Many methods for the computation of edge-diffraction impulse responses are based on the Biot-Tolstoy solution, an explicit, continuous-time expression for diffraction by an infinite wedge. This expression contains two singularities at the onset of the impulse response: one which is present for all source-receiver combinations, and a second which occurs only when a receiver moves across a specul...