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When penetration welding is performed with a laser, the boundary of the keyhole formed in the weld-pool near to the surface of the workpiece experiences considerable variation of temperature; this variation could affect the dynamics of the flow in a number of ways. A simple mathematical model for the temperature distribution is investigated, and solutions obtained. These confirm that for values of the Peclet number of order one the variation of temperature at the keyhole surface can be very substantial.
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Dowden et al. (1985) studied this question.
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