моделювання

A model of hydro-erosion wear of sealing elements was constructed taking into account a set of parameters that reflect the physical properties of the fluid and the material of the sealing elements, as well as the design parameters of the valves. To determine the dependence of the rate of erosion wear on a complex of parameters, we use the π-theorem of similarity and the method of dimension analysis. An expression is given that determines the change in the thickness of the erosive fracture of the sealing surfaces in time.

In the article a hydrodynamic flow model for microfluidic MEMS is presented. Methods and tools for design automation of microfluidic flows were applied. The possibilities of modern CAX tools for the simulation and optimization of fluid flow in microchannels were analyzed.

Mathematical model of log sawing to parallel of linear regressive axis by through-andthrough method into lumber with consideration of surface shape of real logs based on results of scanning for surface shape of log cross sections was developed. The features of calculation for mathematical model of sawing pattern taking account log rotation or sawing pattern around log axis at the fixed angle under cutting (sawing) by vertical and horizontal cutting planes were validated.

The work presents an algorithm of synthesis of SPICE equivalent circuits for galvanomagnetic sensors based on Hall devices. By means of typical library elements circuits were composed in order to take into account magnetic values and sensor’s orthogonal coordinates that are not supported by SPICE. The obtained modeling results fit the results of experimental investigations and form the basis of the sensor’s calibration procedure.

Accurate evaluation of possible safe operation of thermowells essentially depends on the accuracy of the maximum stresses in them during operation. These stresses are generally determined from simple engineering formulas for bulk of canonical shape, mostly cylindrical shells or beams for the relevant boundary conditions. Thus the general solution is obtained step by step. First the tangential stresses are obtained from relations for cylinder subjected to external pressure.

The paper contains the description of the feasible approach to modeling of environmental processes, namely abnormal tidal (tsunami). The suggested mathematical apparatus is based on the statistical methods and comprises hidden Markov models, linguistic modeling and similar trajectories method.

The results of seismic wave field modeling on the cross-section model of the crust (for Drobyshivske gas-condensate field example) were presented. Complicated cut of the crust, resulting geophysical study, represented as a reservoir model. When modeling, seismic wave field features of two-dimensional cross section were taken into account: longitudinal, transverse and exchange waves received on seismograms of longitudinal and transverse vibrations as a result of default distribution of velocities of longitudinal, transverse waves and the density in half-space medium.