A version of the discrete-ordinates method is used to solve in a unified manner some classical flow problems based on the Bhatnagar, Gross and Krook model in the theory of rarefiedgas dynamics. In particular, the thermal-creep problem and the viscous-slip (Kramers’) problem are solved for the case of a semi-infinite medium, and the Poiseuille-flow problem, the Couetteflow problem and the therma...

This paper deals with the analysis of an unsteady mixed convection flow of a fluid saturated porous medium adjacent to heated/cooled semi-infinite stretching vertical sheet in the presence of heat source. The unsteadiness in the flow is caused by continuous stretching of the sheet and continuous increase in the surface temperature. We present the analytical and numerical solutions of the proble...

We study electromagnetic waves localized near a surface of a semi-infinite dielectric medium covered by a layer of graphene in the presence of a strong external magnetic field. We demonstrate that a novel type of hybrid TE–TM polarized surface plasmons can propagate along the graphene layer. We analyze the effect of the Hall conductivity on the polarization properties of these hybrid surface wa...

We describe the imbibition process from a point source into a homogeneous semi-infinite porous material. When body forces are negligible, the advance of the wetting front is driven by capillary pressure and resisted by viscous forces. With the assumption that the wetting front assumes a hemispherical shape, our analytical results show that the absorbed volume flow rate is approximately constant...

doubling the corresponding displacements for an infinite medium. The vertical component Uz is much disturbed by the free surface. (2) The SP wave has an appreciable amplitude comparable to that of P wave as pointed out for a point source case by KAWASAKI et al. (1973). Especially in such cases as shallow sources propagate upward, the SP wave becomes a remarkably marked phase. Hence, careful exa...

and Applied Analysis 3