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Dear experts; I have a question. There is a heating furnace with a height of 16 meters, a straight section of 10 meters, an upper conical section of 6 meters, an inner diameter of 7 meters, and the inner diameter narrows to 2 meters at the top. If the insulation layers in the straight section and the upper conical section are the same, and the internal air temperature remains constant at 700°C, then are the outer wall temperatures of the straight section and the upper conical section the same? Will the gap be too large? Is there anyone who can provide a theoretical basis for the calculations? Thank you!
The outer wall temperatures of the straight section and the upper conical section are not necessarily the same; they are affected by various factors such as the material’s thermal conductivity, the thickness and type of insulation layer, and the external ambient temperature. If the insulation layer is the same and the internal temperature remains constant, the different shapes of the straight section and the upper conical section may result in varying heat transfer efficiencies, thereby causing differences in the outer wall temperature. The extent of the gap needs to be calculated specifically to determine it. Heat transfer calculations can be performed using Fourier’s law; to do this, it is necessary to know information such as the thermal conductivity of the insulation material, the external surface area of the pipe, and the thickness of the insulation layer. Appropriate boundary conditions and assumptions are used to simplify the calculation process. In fact, this is a complex heat transfer problem that may require numerical simulation to obtain more accurate results. Thermal simulation software such as COMSOL Multiphysics and ANSYS Fluent can be used for simulation calculations. .