# Temperature Field

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Temperature Field

the set of temperature values at all points in a given space at a given instant. Mathematically, an unsteady-state three-dimensional temperature field may be described by an equation that expresses the dependence of the temperatures on the three spatial coordinates and time. For steady-state conditions, the temperature field is independent of time. In many cases the dependence of the temperature field on two coordinates—and occasionally on one coordinate—may be considered. A temperature field is represented graphically by means of isothermal surfaces, each of which connects all points of the field having the same temperature. A two-dimensional field is represented by means of a family of isotherms. The distance between isotherms is inversely proportional to the temperature gradient; in this case, the scalar temperature field is associated with the vector field of the temperature gradients.

References in periodicals archive ?
where: T(x, y, z, t) is temperature field at t moment; [rho], c and [lambda] are density, specific heat and thermal conductivity coefficient of the material respectively, which are correlation with the temperature and other factors; The T [[beta].sup.ij] [[gamma].sub.ij] term is the amount of heat caused by the deformation work; [[beta].sup.ij] is material property coefficient; [[gamma].sub.ij] = 1/2 ([u.sub.i,j] + [u.sub.j,i]), [u.sub.i] is the change rate of displacement, this term represents the influence of the stress field (displacement field) on the temperature field, called coupling term; [Q.sub.laser] is the laser heat source [14], which may be expressed as:
The finite element method is used to analyze the wellbore, casing, and formation as a whole and to establish the wellbore and formation temperature field calculation model at home.
Applying the boundary conditions in function of length of the chip in contact with the tool, respectively with cutting edge we change temperature field inside the tool.
And the temperature field in the graphite moderator was calculated by the three-dimensional heat conduction equation on a structured mesh.
It is well known that the thermal model and the relevant parameters of concrete are the basic conditions for studying the space-time character of the temperature field and also are the prerequisite for accurate calculation of the temperature stress.
The multifield coupling of the AESA antenna is primarily the sequential coupling among the temperature field, the structural displacement field, and the electromagnetic field.
To this end, a new model coupling mechanical field with a temperature field of a deployable structure with scissor-like elements (SLEs) based on ANCF is presented.
Current research methods for the temperature field in asphalt pavement can be divided into two categories.
Therefore the temperature field can be improved by a proper burial depth of heat pipe.
Analysis of Coil Temperature Field of Electromagnetic Proportional Directional Control Valve
To let the system reach the present-day anomalous temperature field, the simulation covers a period of 1 million years.

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