The present paper is concerned with the analysis of inherent irreversibility in hydromagnetic boundary layer flow of variable viscosity fluid over a semi-infinite flat plate under the influence of thermal radiation and Newtonian heating. Using local similarity solution technique and shooting quadrature, the velocity and temperature profiles are obtained numerically and utilized to compute the e...

A. A. Dubkov, B. Spagnolo, and V. V. Uchaikin ♯ Radiophysics Faculty, Nizhniy Novgorod State University 23 Gagarin Ave., 603950 Nizhniy Novgorod, Russia∗ ⋆ Dipartimento di Fisica e Tecnologie Relative and CNISM-INFM, Group of Interdisciplinary Physics†, Università di Palermo, Viale delle Scienze, I-90128, Palermo, Italy‡ and ♭ Department of Theoretical Physics, Ulyanovsk State University 42 L. ...

We simulate wave propagation in a partially saturated porous medium, where the novel feature is the presence of a second slow wave due to capillary forces. The pores are filled with a wetting fluid and a non-wetting fluid, and the model, based on a Biot-type three-phase theory, predicts three compressional waves and one shear wave. Moreover, the theory models the realistic attenuation levels ob...

Magnetic tomography investigates the reconstruction of currents from their magnetic fields. Here, we will study a number of projection methods in combination with the Tikhonov regularization for stabilization for the solution of the Biot-Savart integral equation Wj = H with the Biot-Savart integral operator W : (L(Ω)) → (L(∂G)) where Ω ⊂ G. In particular, we study the role of a priori knowledge...

We investigate the influence of the thermal properties of the boundaries in turbulent Rayleigh-Bénard convection on analytical bounds on convective heat transport. Using the Doering-Constantin background flow method, we systematically formulate a bounding principle on the Nusselt-Rayleigh number relationship for general mixed thermal boundary conditions of constant Biot number η which continuou...

The theory of the acoustics of patchy-saturation in porous media is used to analyze experimental data on wave velocity and attenuation in partially water saturated limestones. It is demonstrated that the theory can be used to deduce the value of V /A, the ratio of the volume to area of the water patch, and l f , the Poisson size of the water patch. One can " hear " the shape of a patch if the p...