# heat transfer

## EFFECTIVE WALL STRUCTURES WITH USE OF FLAX STRAW CONCRETE

The modern building technologies are technologies of green construction, near zero-energy and active buildings with bioclimatic design, optimized energy consumption and CO2 emissions. Prospective enclosing structures of such buildings are structures using available, low cost, and environmentally friendly materials based on plant raw materials.

## Quasi-static problem of thermoelasticity for layered shallow cylindrical shells of irregular structure

For rectangular layered shallow cylindrical shells of irregular structure, the quasi-static problem of unbound thermoelasticity is formulated.  As a mathematical model, the equations of the shear theory of shallow shells of Timoshenko type are used.  The closed solution for the formulated problem is found by the methods of integral transformations.  The distribution of temperature, displacements, forces and moments in a two-layer cylindrical shell under local convective heating is analyzed numerically.

## MHD Nanofluid boundary layer flow over a stretching sheet with viscous, ohmic dissipation

The objective of this research is to examine the steady incompressible two-dimensional hydromagnetic boundary layer flow of nanofluid passing through a stretched sheet in the influence of viscous and ohmic dissipations.  The present problem is obtained with the help of an analytical technique called DTM-Pade Approximation.  The mathematical modeling of the flow is considered in the form of the partial differential equation and is transformed into a differential equation through suitable similarity transformation.  The force of fixed parameters like thermophoresis number

## An improved Levenberg–Marquardt method for nonsmooth equations with application to multi-stream heat exchangers

Systems of nonsmooth equations are very useful in the study of nonlinear complementarity problems, variational inequality problems, bilevel programming problems, and arise in the mathematical modeling of many problems in chemical processing, mechanics and engineering.  In this paper, we introduce a hybrid method for solving systems of nonsmooth equations, which combines the idea of Levenberg–Marquardt–type methods with bundle techniques, while avoiding the hypothesis of differentiability of the least squares merit function.  Some numerical results comparing the proposed method with LP-Newto

## THE ANALYSIS OF WATER SPEED INFLUENCE IN HOT-WATER DISTRIBUTION SYSTEM ON THE AMOUNT OF HEAT LOSS

One of the main tasks around the world is to reduce energy consumption with constant consumer comfort. The hot water supply system uses a significant part of thermal energy and requires no less attention than the heating or ventilation system. The amount of heat loss from hot water distribution systems is of great importance for the energy consumption of buildings. In winter, part of this heat is used for space heating, in summer they are unused and is considered as lost heat.

## MATHEMATICAL MODELS OF HEAT TRANSFER IN ELEMENTS OF TURBO GENERATORS (CONTINUED)

Previously developed  and presented new mathematical models for the analysis of temperature regimes in individual elements of turbo generators, which are geometrically described by isotropic half-space and space with an internal heat source of cylindrical shape. Cases are also considered for half-space, when the fuel-releasing cylinder is thin, and for space, when it is heat-sensitive. For this purpose, using the theory of generalized functions, the initial differential equations of thermal conductivity with boundary conditions are written in a convenient form.

## Estimation of Effective Thermal Parameters of Heating Sources Based on Dynamic Measurements in Smart Home

This work is devoted to the method of determining the effective thermal parameters of heating sources in a smart home, which involves a combination of algorithms for data analysis and the equation of the physical process of heat transfer. The use of such parameters allows one to create software and hardware solutions for modeling the thermal map of the house, as well as to analyze energy consumption using the machine learning models.

## Theoretic substantiation and apparatus design for the energy-saving method during candied fruits drying.

The drying process of candied pears wasresearched. The process is a filtration of a heat agent in the direction of “perforated septum - candied fruit layer”. A kinetic drying curve, based on the differential equation of dynamics heat and mass transfer, was obtained and the heat balance of the process was calculated. The following was proved: the accumulated thermal energy in the lower layers of candied fruit is enough to dry the upper layers. The energy effect is calculated; it is obtained from the introduction of a new drying method.

## STUDY OF THE TEMPERATURE FIELDS IN THERMOTRANSDUCER’S CASE

The choice of ways of obtaining information about the temperature of the surface layers of a moving object is the crucial in determining  the  type of  temperature transducers. This choice depends on  the  row of specific  factors:  the speed of movement of the measured object relative the object, the state of the surface, the presence of related agents in near-surface layers, the presence of disturbing factors - noise, vibration, etc. The major factor seems to be the value of the heat carried out from the diagnosed object with the help of intermediate substance.

## 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.