Heat exchange processes are of great importance for the implementation of technological operations in many industries, including the pharmaceutical, food and refining industries. The problem of heat transfer intensification is especially important for the creation of high-energy-efficient equipment. Heat-exchange processes of heating and melting are labor-intensive and energy-consuming, where it is necessary to transfer substances or mixtures from a solid state to a sufficiently fluid one to ensure their further transportation to the next stages of production. The peculiarity of hydrocarbon mixtures lies in their thermophysical properties: a wide range of changes in the phase transition temperature or melting point (37…100 °C), a tendency to thermal destruction and a low thermal conductivity (0.034… 0.34 W/m ∙ K). Traditionally, reactors with different mixer designs, baths with coils, electric tissue heaters, heating chambers, etc. are used at enterprises for heating and melting hydrocarbon mixtures. Mostly equipment is purchased abroad, for the purchase of which a lot of money is spent. Such methods are long and energy-intensive, there are large temperature gradients, which often leads to overheating of one part of the substance and underheating of another. In addition, the process of loading mixtures into boilers and their subsequent unloading is problematic and contaminatingly dangerous. Given all this, the development and implementation of domestic innovative technologies and equipment for the processes of heating and melting of hydrocarbon mixtures is an urgent task.
Analysis of the work, which considered the mathematical modeling of the melting process in various industries, currently does not pay attention to modeling the processes of heating and melting of hydrocarbon mixtures, such as vaseline, paraffin, fats, lanolin and others. The issue of optimization of heating and melting processes, calculations of necessary process parameters (speed and depth of thermal front penetration, etc.) and equipment, avoidance of repetition for each hydrocarbon mixture of experimental studies shows the need to develop a mathematical model of these processes. For the method of melting a substance placed in a cylindrical tank, based on the movement of a disc heating element under the action of gravity during melting and overflow of molten substance through the gaps between the disc and the walls of the tank, simulation has been carried out. Simulation of the melt flow in the annular gap is presented, which describes the laminar flow under the influence of the pressure drop and the velocity of the vessel wall relative to the heater, and the melt flow under the heater.
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