thermal conductivity

HIGH-PERFORMANCE COMPUTING METHOD FOR INVESTIGATING HEAT CONDUCTION PROCESSES IN COMPOSITE MATERIALS

This study explores an approach to modeling heat conduction in composite materials using high-performance computing methods. The solution of a complex mathematical problem is decomposed into multiple independent processes through the MPI method to maximize computational efficiency. The model structure accounts for the properties of the composite material and its components. The finite element method (FEM) is applied to study the thermal properties.

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 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 thermoactive elements of digital devices with local internal heating and taking thermosensitivity into account

Linear and non-linear mathematical models for the determination of the temperature field, and subsequently for the analysis of temperature regimes in isotropic spatial heat-active media subjected to internal local heat load, have been developed.

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.

Temperature modes in a heat-sensitive plate with local heating

Nonlinear mathematical models for the analysis of temperature regimes in a thermosensitive isotropic plate heated by locally concentrated heat sources have been developed. For this purpose, the heat-active zones of the plate are described using the theory of generalized functions. Given this, the equation of thermal conductivity and boundary conditions contain discontinuous and singular right parts. The original nonlinear equations of thermal conductivity and nonlinear boundary conditions are linearized by Kirchhoff transformation.

Prediction of Thermophysical Characteristics of Fuel Rods Based on Calculations

The paper analyzes operating conditions, thermophysical characteristics were calculated as applied to WWER-1000 fuel rods in a four-year cycle for unified core. The paper gives a summary of models for calculating gas release, pressure of gases within fuel rod cladding, fuel swelling and thermal conductivity, fuel-cladding gap conductance. The thermophysical condition of fuels in a reactor core is one of the main factors that determine their serviceability.

Analysis of the Possibility of the Polymeric Aggregates Use in the Design of Building Block

Particulate composite was prepared from a mixture of cement, gravel and water with additions of a polyepoxide and/or expanded polystyrene in powder. For consolidation, each mixture was poured into a mold, remaining for a short period and then removed. For complete solidification the specimens were cured with water during the final stage. The weight, compressive strength and thermal conductivity of the composite were determined.