Calculations of Heat Transfer in Torch Furnaces by Gas Volume Radiation Laws

Abstract

The results stemming from the calculation of heat transfer in torch furnaces by the laws, relating to radiation from solid surfaces and gas volumes are analyzed. The article presents the laws for radiation from gas volumes and the procedure for calculating heat transfer in torch furnaces, fire boxes, and combustion chambers, elaborated on their basis. The example of heat transfer calculation in a torch furnace is given, and it is significantly non-uniform in nature. Non-uniformity of heat flux distribution on heating surfaces is given. According to the results of calculations, a new furnace is designed to decrease the non-uniformity of ingot heating, fuel rate, and increase the furnace capacity. The calculation results of the distribution of heat fluxes on the heating surfaces are given in changing torch geometric dimensions. These results are confirmed by experimental studies.

Laws of heat radiation from spherical gas volumes. Part II. Modeling of heat radiation from volume bodies by radiation from spherical and cylindrical gas volumes

“…Torches are placed away from the heated products to cause no melting of products surface. Torches are placed so as to heat fire-resistant surfaces of walls, arch, hearth, and heated fire-resistant surfaces radiate heat flux on the products, heating them [4], however, such organization of heat transfer causes conductive heat losses through the walls, arch, hearth of the furnace. It is assumed, that the products are heated by combustion products, gases leaving the torch and filling the working space of the furnace.…”

“…According to the method, described in [2][3][4], as well as in the first part of the monograph, we calculated heat radiation flux densities of torches I and II incident on the horizontal surface along the length of the product lp and vertical surface along the height of embrasures He. The calculation results are shown in Fig.…”

“…In the 20th century the solution for triple integral equations in the form of analytical expressions, formulas was not found [1]. However, the disclosure in the late 20th century of the laws for heat radiation from cylindrical and spherical gas volumes, laws of Makarov and the methods for calculation, developed on their basis , allow to simulate the torch by a set of cylindrical and spherical gas volumes and calculate the fluxes of the heat radiation incident on the heating surface from the torch [1][2][3][4]. The developed method of heat transfer in torch furnaces allows to calculate the rational fuel consumption, the location of the burners and the rational parameters of the torch: length, power and its distribution over the length , the spatial position in the furnace, the angle of torch.…”

“…The torch is used in heating furnaces, fire boxes, steam boiler boxes and combustion chambers of gas -turbine power plants [1][2][3][4]. Torch, created by a single burner, is an ellipsoid of revolution, which burns the fuel, supplied to the burner [1][2][3][4]. Torch length is the distance from the burner, at which at least 98% of the fuel is burnt.…”

“…Thus, gas volume in the form of parallelepiped can be modeled by cylindrical gas volume, one-two hundred spherical gas volumes and obtain the results from calculations with high accuracy. The torch is used in heating furnaces, fire boxes, steam boiler boxes and combustion chambers of gas -turbine power plants [1][2][3][4]. Torch, created by a single burner, is an ellipsoid of revolution, which burns the fuel, supplied to the burner [1][2][3][4].…”