The study presents a mathematical model of temperature distribution for a gas flow in a pipeline with heat exchange through the wall. Modeling is performed in a one-dimensional (hydraulic) approximation but the temperature distribution across the pipe near its wall (thermal boundary layer) is taken into account. This model includes two independent parameters that contain information about the heat-conducting properties of gas and pipe walls, taking into account thermal insulation. The resulting equation is proposed for use for field gathering plumes. The parameter that includes the heat transfer coefficient through the pipe wall, when setting the task of determining the moment of the beginning of hydrate formation in the field plumes is not known in advance and is subject to identification by comparing the calculation data with the measurement information. To solve such (inverse) problems, an analytical form of representation of the dependencies between the process parameters is important which determines the relevance of the presented result. The novelty lies in the fact that the obtained analytical dependence for the temperature distribution along the pipeline describes the heat transfer through the wall (through the thermal boundary layer), the thermal conductivity inside the gas and the convective heat transfer along the flow.

No abstract