Conditions of a refraction of a shock wave are considered, at interaction of a flat shock wave with a free surface dividing gas and Gas-liqiud (bubble) medium. The analysis of fluxions with the help of the asymptotic theory of the short waves using locally fixed-ratio thermodynamic model газожидкостной of a medium, reduces in an establishment of fields of existence of conditions of a refraction: non-regular, the regular with a suction wave; the regular, education of the shock wave closing a zone of underpressure; the regular with the reflected shock wave.
Microcirculation is a key element of human metabolism. Every pathological condition of human organism causes different changes in blood flow. And vice versa, many of the microcirculatory disorders appear before and stay longer after then other disease symptoms. Modelling of microcirculation help us to understand complex interconnected metabolic processes, to find out causes of different diseases and to offer ways of their treatment.
There has been examined a mathematical model of item obtaining from the oxidized graphite powder by means of exfoliating at heating in a metal mould. Temperature equaling discovered in a numerical experiment by the ultimate stage of the process allows to build asymptotic expansion of the solution in one-dimensional case. Temperature- and speeds fields in two-dimensional axisymmetric case are numerically defined by the shock-capturing method.
The review exact (described by algebraic functions) solutions of a transonic set of Karman–Falkovitch equations is given. Self-similar solutions and two classes of the polynomial-parametrical solutions associated with self-similar at indexes n = 2 and n = 3 are considered. Connection with local exposition of singularities of transonic flows is specified , in particular in Laval nozzles.
A fluid-solid interaction problem of a pulsation of the human carotid bifurcation was solved using finite element method. Hyperelastic orthotropic wall model that accounts for the carotid histological structure and in-vivo vessel geometry obtained from the CT-imaging were utilized. In-vivo blood flow boundary conditions for the problem were determined using Doppler Ultrasound.
The equations of the one-dimensional theory of dynamics of a blood-groove in arterial systems of large blood vessels are formulated most. Analytic solution of the formulated system of equation and some variants of edge and contact conditions are proposed.
Let Λψ,p[0, 1)d be a near to L∞[0, 1)d Lorentz space. We find the function ψ˜ for which the multiple Vilenkin–Fourier of any f ∈ Λψ,p[0, 1)d converge to f in the norm of Lorentz space Λ ˜ [0, 1)d.
