MHD flow in a rectangular duct with a perturbed boundary

The unsteady magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid in a rectangular duct with a perturbed boundary, is investigated. A small boundary perturbation $\epsilon$ is applied on the upper wall of the duct which is encountered in the visualization of the blood flow in constricted arteries. The MHD equations which are coupled in the velocity and the induced magnetic field are solved with no-slip velocity conditions and by taking the side walls as insulated and the Hartmann walls as perfectly conducting. Both the domain boundary element method (DBEM) and the dual reciprocity boundary element method (DRBEM) are used in spatial discretization with a backward finite difference scheme for the time integration. These MHD equations are decoupled first into two transient convection–diffusion equations, and then into two modified Helmholtz equations by using suitable transformations. Then, the DBEM or DRBEM is used to transform these equations into equivalent integral equations by employing the fundamental solution of either steady-state convection–diffusion or modified Helmholtz equations. The DBEM and DRBEM results are presented and compared by equi-velocity and current lines at steady-state for several values of Hartmann number and the boundary perturbation parameter.     

Sicherheit der Rohstoffversorgung unter dem Aspekt der nachhaltigen Entwicklung

The security of future supply with natural resources has to comply with objectives towards a sustainable and responsible development. Resources from the geosphere and recycling material from the technosphere may be grouped in a hierarchy the top of which is made up by fossil energy raw materials and of resources from occurrences which were formed by enrichment processes. The base of the hierarchy is made up by bulk raw materials which occur in unlimited amounts in the crust of the Earth and in the sea water and by waste and residues as potential raw materials. Optimising the efficiency of raw materials takes place if material from a lower level substitutes material from a higher level. Highest efficiency is reached if fossil energy from the top of the hierarchy is substituted or consumption is reduced.     

On the anisotropic character of material hardening during loading with partial unloading

Mining Institute, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 6, pp. 57-64, November-December, 1991.