An equivalent undercooling model to account for flow effect on binary alloy dendrite growth rate

Bhattacharya, Anirban and Karagadde, Shyamprasad and Dutta, Pradip (2013) An equivalent undercooling model to account for flow effect on binary alloy dendrite growth rate. In: INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 47 . pp. 15-19.

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Abstract

A theoretical analysis is carried out to observe the influence of important flow parameters such as Nusselt number and Sherwood number on the tip speed of an equiaxed dendrite growing in a convecting alloy melt. The effect of thermal and solutal transfer at the interface due to convection is equated to an undercooling of the melt, and an expression is derived for this equivalent undercooling in terms of the flow Nusselt number and Sherwood number. Results for the equivalent undercooling are compared with corresponding numerical values obtained by performing simulations based on the enthalpy method. This method represents a relatively simple procedure to analyze the effects of melt convection on the growth rate of dendrites. (C) 2013 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	copy right for this article belongs to Science Direct
Keywords:	Dendrite growth rate; Melt undercooling; Solutal convection; Enthalpy method
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	25 Oct 2013 14:52
Last Modified:	25 Oct 2013 14:52
URI:	http://eprints.iisc.ac.in/id/eprint/47570

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