Scientific Journal Problems of Emergency Situations — L. Kutsenko, A. Kalinovsky, E. Sukharkova, S. Bordiuzhenko, M. Zhuravskij. Determination based on the Nusselt method heat flow from surface rotation. С. 348-368.

An approximate method for the numerical determination of the heat flux, which is radiated by a surface of revolution, and which reaches a figure of a given shape on the coordinate plane, is considered. The method is based on a graphical-analytical method for an approximate estimate of the heat flux (the Nusselt method or the unit-radius sphere method). Graph-analytical actions consist in the construction and description of a radial-parallel projection of the radiation source, directed to the figure of the heat receiver. As a result, we obtain a projection of the radiation source, the area of which must be compared with the area of a circle of unit radius that envelops it. The numerical value of the ratio of these areas will determine the measure of heat that will reach a certain point in the figure of the heat sink (local angular coefficient of radiation). But the application of the Nusselt method in such a "natural" interpretation in practice is associated with difficulties in calculating the indicated areas. The reason is the incomparable distances between the nodal points of the radial-parallel projection and the distances to the surface of revolution. To implement the Nusselt method in practice, it is necessary to generalize the scheme for describing and constructing a radially parallel projection of a radiation source. In the paper, a description of the radially parallel projection of coaxial circles located on the level planes of the surface of revolution, a description of the radially parallel projection of the axial vertical section of the surface of revolution, as well as formulas for calculating the integral angular coefficients of radiation for the considered case of surfaces are found. This problem was solved by using a projection relationship between an object and its radial-parallel projection. The results obtained can be used in practice in the form of a system for modeling and predicting emergency situations that occur on gas pipelines to assess heat flows from a virtual flame to the surfaces of buildings and structures.

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