тепловий потік | Academic Journals and Conferences

MATHEMATICAL MODELING OF THE ANALYSIS OF TEMPERATURE REGIMES IN ELEMENTS OF ELECTRONIC DEVICES WITH LOCAL EXTERNAL HEATING AND WITH TAKING THERMOSENSITIVITY INTO ACCOUNT

The linear and nonlinear mathematical models for determining the temperature field and subsequently analyzing temperature regimes in isotropic spatial media subjected to external local thermal load are developed. In the case of a nonlinear boundary value problem, the Kirchhoff transform is applied to linearize the nonlinear heat conduction equation and nonlinear boundary conditions, resulting in a linearized second-order partial differential equation with a discontinuous right-hand side and partially linearized boundary conditions.

Моделювання теплового стану в термочутливому елементі потужного світлодіода

Розглянуто стаціонарну нелінійну осесиметричну задачу теплопровідності для термочутливого шару, який нагрівається внутрішніми джерелами тепла і тепловим потоком. Отримано аналітичний розв’язок цієї задачі та виконано числовий аналіз для заданої залежності коефіцієнта теплопровідності матеріалу шару від температури.

Моделювання температурних режимів у термочутливому вузлі мікроелектронних пристроїв

Розглядається стаціонарна нелінійна задача теплопровідності для термочутливої смуги, яка нагрівається внутрішніми джерелами тепла і тепловим потоком. Отримано аналітичний розв’язок цієї задачі та виконано числовий аналіз для заданої залежності коефіцієнта теплопровідності матеріалу смуги від температури.

Mathematical models for the determination of temperature fields in heterogeneous elements of digital devices taking thermo sensitivity into account

Linear and nonlinear mathematical models for determining the temperature field and subsequently analyzing temperature regimes in isotropic spatial media with semi-through foreign inclusions subjected to internal and external thermal loads are developed.

MATHEMATICAL SPATIAL MODELS OF DETERMINATION OF TEMPERATURE FIELD FROM LOCALLY CONCENTRATED THERMAL HEATING

Linear and nonlinear mathematical models for determining the temperature field, and later the analysis of temperature regimes in isotropic spatial inhomogeneous media exposed to internal and external thermal loads have been developed. To do this, the thermal conductivity for such structures is described as a whole using symmetric unit functions, which allows us to consider boundary thermal conductivity problems with one linear and nonlinear differential equation of thermal conductivity with discontinuous coefficients and linear and nonlinear boundary conditions on boundary surfaces.

Mathematical modeling of stationary thermoelastic state in a half plane containing a periodic system of cracks due to periodic local heating by a heat flux

Purpose. To determine the two-dimensional thermoelastic state in a semi-infinite solid (half-plane), weakened by a system of periodic internal cracks under conditions of local heating on the edge of the half plane. Heat flux due to frictional heating on the local area of the body, causes changes in temperature and stresses in the body, which significantly affects its strength, as it can lead to crack growth and local destruction. Therefore, the study of the problem of frictional heat is of a practical interest.

MATHEMATICAL MODELS OF HEAT TRANSFER IN ELEMENTS OF TURBOGENERATORS

Separate mathematical models for determining the temperature distribution in the elements of turbogenerators have been developed, which are described geometrically by an isotropic half-space and a heat-sensitive space with locally concentrated sources of heating. For this purpose, using the theory of generalized functions in a convenient form, we write the initial differential equations of thermal conductivity with boundary conditions.

Technique of determination of thermal loses in a house using thermal imaging camera

The application of infrared thermography as a method of estimation of heat losses of building structures is becoming more popular within the resolve the issues of power resources economy, determination of energy efficiency and increasing of buildings thermal protection. It should be remembered that the output result of buildings thermal imaging research is thermal temperature distribution of the investigated surface on the thermogram.

Geothermal model of the Earth’s crust across the Eastern Carpatians along the seismsc profile Dobre-3 (PANCAKE)

This paper presents two-dimensional numerical models of the thermal structure of the crust and upper mantle in the Carpathians region based on new seismic data along the profile Dobre-3 (PANKACE) from East European Craton to Pannonian basin (PB). Heat flow and temperature distribution in the crust can be explained by lithosphere structure and Cenozoic tectonic and magmatic activity.