temperature field

Mathematical models for analysis of temperature regimes in vehicle braking systems

         Linear and non-linear mathematical models for the determination of the temperature field, and subsequently for the analysis of temperature regimes in the braking systems of vehicles, which are geometrically depicted as isotropic spatial heat-active media that are subject to internal local thermal heating, have been developed. With the use of classical methods, it is not possible to obtain analytical solutions of linear and nonlinear boundary value problems of mathematical physics in a closed form.

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.

Temperature field of metal structures of transport facilities with a thin protective coating

A study of the temperature field in metal structures of transport facilities with corrosion-resistant coating under the conditions of changes in ambient temperature has been conducted.  The results of experimentally determined temperature distribution in the surface vicinity of a galvanized metal sheet are presented.  The data were obtained over the day at positive and negative surface temperatures.  Given a generalized boundary condition for the heat conduction problem, with a solid heated by a localized heat flow through a thin coating, there has been obtained and ana

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.

Modeling the reinforced concrete shell with a protective structure

The results of the mathematical modeling and experimental studies for the stress-strain state of the annular section of the reinforced concrete shell with the protective structure are presented.  Computer simulation has been formulated as a stationary temperature problem.  The distribution of deformations and stresses is shown using the equations of the elastic theory.  A comparison of theoretical dependences on the results of experimental studies of physical models is given.

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

Previously developed [8] 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.

Optimization of technology of sealing of the output capillary pillar of the ionization chamber

Goal. Investigation of the conditions of formation of operational tightness of the end of the output capillary - the rod of the ionization chamber with simultaneous provision of the temperature regime in the process of formation of the welded joint.