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A scaling analysis of momentum and heat transport in laser surface melting

Sarkar, S and Chakraborty, S and Dutta, P (2001) A scaling analysis of momentum and heat transport in laser surface melting. In: Lasers in Engineering, 11 (1). pp. 57-75.

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In this paper, we outline a systematic procedure for scaling analysis of momentum and heat transfer in laser melted pools. With suitable choices of non-dimensionalising parameters, the governing equations coupled with appropriate boundary conditions are first scaled, and the relative significance of various terms appearing in them are accordingly analysed. The analysis is then utilised to predict the orders of magnitude of some important quantities, such as the velocity scale at the top surface, velocity boundary layer thickness, maximum temperature rise in the pool, fully developed pool-depth, and time required for initiation of melting. Using the scaling predictions, the influence of various processing parameters on the system variables can be well recognised, which enables us to develop a deeper insight into the physical problem of interest. Moreover, some of the quantities predicted from the scaling analysis can be utilised for optimised selection of appropriate grid-size and time-steps for full numerical simulation of the process. The scaling predictions are finally assessed by comparison with experimental and numerical results quoted in the literature, and an excellent qualitative agreement is observed.

Item Type: Journal Article
Publication: Lasers in Engineering
Publisher: Old City Publishing
Additional Information: Copyright of this article belongs to Old City Publishing.
Keywords: scale analysis;laser surface melting;momentum and heat transfer;Marangoni convection.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 02 Aug 2011 09:09
Last Modified: 02 Aug 2011 09:09
URI: http://eprints.iisc.ac.in/id/eprint/39471

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