# mathematical model

## Mathematical modeling in thermomechanics of electroconductive bodies under the action of the pulsed electromagnetic fields with modulation of amplitude

A mathematical model of description and a method for determining the thermostressed state of non-ferromagnetic electroconductive bodies under the influence of external unsteady electromagnetic fields of pulsed type are proposed.  Such fields have the character of a regime with amplitude modulation under the action of pulse modulated signal and are widely used in technologies of magnetic pulsed processing electroconductive materials.  This model is the development of well-known models for quasi-steady and pulsed electromagnetic fields.  As an example, the results of investigation of the ther

## ACTIVATOR OF CARBON DIOXIDE ABSORPTION BY CHLOROPHYLL- SYNTHESIZING MICROALGAE

The influence of nitrogen oxides on the СО2 uptake rate by chlorophyll-producing microalgae of Chlorella type was investigated. Experimental dependences of microalgae concentration growth over time under certain values of nitrogen oxides concentration in the culture medium were obtained. The mathematical model of microalgae biomass growth depending on nitrogen oxides concentration was developed. Based on the solution of the mathematical model and the obtained experimental data, the concentration of nitrogen oxides for the maximal microalgae growth was determined.

## Intellectual Analysis of Transformation Process of the Algebra Algorithm Formulas

The processes of transforming the algorithm algebra formulas are described. The algorithm for calculation of geometrical parameters of unithrams is given. Synthesized, minimized, built a mathematical model and investigated the algorithm of the transformation process of algebra algorithm formulas.

## INVESTIGATION OF THE INFLUENCE OF ELECTROMAGNETIC RADIATION ON THE INCREASEOF CHLOROPHYLL - PRODUCING MICROALGAE

It is well known that humanity has to deal with a large number of environmental problems. Every year the level of the Earth's electromagnetic field is only increasing, which is associated with human activity. Promising was the solution of the problem of carbon dioxide absorption by chlorophyll synthesizing microalgae under the influence of microwave electromagnetic radiation.

## INVESTIGATION OF THE IMPACT OF NITROGEN OXIDES ON THE CARBON DIOXIDE UPTAKE RATE BY CHLOROPHYLL-PRODUCING MICROALGAE IN THE AQUATIC HABITAT

As of today, humanity has to deal with a large number of environmental problems. Such problems include climate changes on Earth, which makes the worldwide scientific community and today’s world leaders of countries to raise the alarm. The impetus for the drawing of attention was the rapid rise in the earth temperature, threatening to raise the level of the World Ocean and cause catastrophic consequences in general.

## PROCESSES OF HEAT AND MASS TRANSFER IN GAS AND HEAT PROTECTIVE SUIT WITH ICE-WATER COLD-STORAGE ACCUMULATORS

The article dwells on the mathematical model of heat and mass transfer processes in „environment-protective clothing-human” system which takes into account simultaneous penetration of ambient heat and toxic chemicals in the multi-layer membrane of garments with air gap. On the basis of this model, the parameters of a gas and heat protective suit are reasonably defined.

## THE ROLE OF THE WAVELENGTH OF LIGHT IN THE DYNAMICS OF LIGHT IN THE DYNAMICS MICROALGAE DUE TO THE ABSORPTION OF CARBON DIOXIDE

The effect of light wave length on the rate of carbon dioxide absorption by microalgae has been studied. The mechanism of transfer of carbon dioxide from the air into the internal environment of the cells of microalgae has been described. The coefficient of microalgae growth based on the mathematical model has been determined. The analytical dependence of the mentioned coefficient on the light wave length has been obtained. The optimum length of light wave has been determined to design the flow chart for eliminating carbon dioxide from industrial gas emissions by the biological method.

## Інформаційно-розрахунковий метод для визначення теплофізичних характеристик композитних матеріалів

The work is devoted to the development of applied methodology for determination of thermophysical parameters of composite materials.

## Моделювання розпилювання колоди розвальним способом на пиломатеріали з урахуванням її реальної форми

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.

## Математичне моделювання та аналіз деформаційно-релаксаційного стану в деревині у процесі сушіння

The article develops a mathematical model of non-isothermal moisture transfer and viscoelastic deformation of wood during drying, which takes into account the anisotropy and variability of heat-mechanic characteristics. By finite element method was formulated by the implementation of mathematical models for viscoelasticity with regard to the accumulation of irreversible deformation. By object-oriented analysis is designed and implemented software implementation model in the form of documented classes.