Heat and Mass Transfer
Volume 45, Number 10, 1247-1251, DOI: 10.1007/s00231-009-0493-x

Original

Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme

S. Amir Hossein A. E. Tabatabaei, Tinggang Zhao, O. Bamidele Awojoyogbe and Folorunsho O. Moses

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Abstract

The time dependent heating and cooling velocities are investigated in this paper. The temperature profile is found by using a keyhole approximation for the melted zone and solving the heat transfer equation. A polynomial expansion has been deployed to determine the cooling velocity during welding cut-off stage. The maximum cooling velocity has been estimated to be V max ≈ 83°C s−1.

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