Analysis of Temperature Field with Equiradial Cooling Boundary around Moving Heat Sources : Heat Conduction Analysis for Estimation of Thermal Hysteresis during Underwater Welding(Welding Physics, Processes & Instruments)

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The paper describes the method of solving partial differential equation of heat conduction for moving source under the boundary condition that the equiradial surface of finite length around a moving heat source, i.e., semi-spherical surface for a point source and cylindrical surface for a linear one, is kept constant temperature, supposing to estimate thermal field in underwater welding by local cavity methods. Analyses are conducted for both point and linear heat sources and rigorous solutions are obtained, and their results are compared in detail with Rosenthal's solutions. Furthermore, the cooling rate at particular temperature range, which is practically useful for the prediction of hardness of welded part of steel plate, are analysed using the obtained solutions and the effect of the radius of cooling boundary on the rate are clarified for various welding variables.