Research Papers: Melting and Solidification

Temperature Created by a Moving Heat Source That Heats and Melts the Metal Plate (Plasma Arc Cutting)

[+] Author and Article Information
Valerian Nemchinsky

Keiser University,
Fort Lauderdale, FL 33019
e-mail: vnemchinsky@keiseruniversity.edu

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 27, 2015; final manuscript received July 20, 2016; published online August 16, 2016. Assoc. Editor: Ali Khounsary.

J. Heat Transfer 138(12), 122301 (Aug 16, 2016) (4 pages) Paper No: HT-15-1678; doi: 10.1115/1.4034309 History: Received October 27, 2015; Revised July 20, 2016

Heat transfer in a metal cut by a moving arc jet is considered using the method of superposition of heat sources and sinks. The heat sources are located at the plasma–liquid metal boundary, heat sinks—at the melting front. Special attention is paid to the influence of the molten metal layer that separates the plasma and not yet molten metal. It is shown that this layer hampers heat transfer to the melting front. Neglecting its heat resistance could lead to a very substantial errors especially at high cutting speeds. The thicker the layer and/or the higher the cutting speed, the more power is necessary to perform the cut and the higher the average temperature of the melt. Estimations show that power carried out by the removed melt could reach half of the total power necessary to make the cut. The suggested method allows one to include the heat of heterogeneous reaction of oxidation at the melting front. The method could be applied to describe other types of metal cutting with a moving concentrated heat source.

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Grahic Jump Location
Fig. 1

Geometry used in calculations. Heat is delivered to the metal along bold hemicircle of radius Rarc. Melting isotherm has radius Rmelt. Heating point A (arc–metal contact), cooling point M (melting front). Δ is the molten layer thickness.

Grahic Jump Location
Fig. 2

G(Pe, 1, 1) function and its asymptotes. G(Pe ≪ 1, 1, 1) = 1.61 − ln(Pe); G(Pe ≫ 1) = 1/Pe.

Grahic Jump Location
Fig. 3

Dimensionless heat flux to the metal as function of the cutting speed. Solid line: no heat of fusion, infinitely thin layer. Symbols: heat of fusion included. Squares: δ = 0; triangles: δ = 0.1; and circles: δ = 0.2.

Grahic Jump Location
Fig. 4

Temperature of the hot side of the molten layer at different molten layer thicknesses. Solid line: infinitely thin layer; circles: δ = 0.2; triangles: δ = 0.1.

Grahic Jump Location
Fig. 5

Fraction of the total power lost with the removed molten metal. The rest is conducted inside the metal by thermal conduction.




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