Mathematical modeling of a direct current electric arc: Part II. Dimensionless representation of a direct current arc

Ramírez, Marco; Garduño-Esquivel, Judith; Trápaga, G.

doi:10.1007/s11663-004-0037-1

Cited by 5 publications

(3 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A quadratic relationship between the arc radius and the axial distance was proposed in our previous publication, in which the shape of the Ar arcs was presented [11], in accordance with the arc shapes reported by other authors [10,31]. However, under the operating conditions used in this study and due to the inclusion of the Prandtl number to represent the shape of the arc, a logarithmic relationship is the best description of the arc shape.…”

Section: Shape Of the Arcsupporting

confidence: 84%

Generalized representation of arc shape, arc column characteristics and arc-weld pool interactions for DC electric arcs burning in monoatomic gases

Delgado-Álvarez¹,

Méndez²,

Murphy³

et al. 2020

J. Phys. D: Appl. Phys.

View full text Add to dashboard Cite

The shape of a DC electric arc in arc welding with monoatomic shielding gases (Ar, He and Ar/He blends) is generalized in dimensionless form with algebraic correlations. The novel expressions capture the main magnetohydrodynamic arc characteristics (temperature, velocity, magnetic field) and also yield the main arc-weld-pool interactions (heat flux, current density and pressure). The proposed correlations are validated against numerical results presented in this work and numerical and experimental results found in the literature. Simulated electric arcs conditions considered include arc currents and arc lengths in the range of 200-300 A and 5-10 mm respectively, burning in Ar and Ar-He mixtures and arc lengths ranging from 7-10 mm for He.

show abstract

Section: Shape Of the Arcsupporting

confidence: 84%

Generalized representation of arc shape, arc column characteristics and arc-weld pool interactions for DC electric arcs burning in monoatomic gases

Delgado-Álvarez¹,

Méndez²,

Murphy³

et al. 2020

J. Phys. D: Appl. Phys.

View full text Add to dashboard Cite

show abstract

“…In our investigation of the effect of Lorentz forces on bath stirring, we note that in the systems studied temperatures may exceed the Curie temperature, over which the ferromagnetic material becomes paramagnetic. In our current magnetohydrodynamics (MHD) formulation, the induced magnetic field was modelled as an external field, the values of which were taken to be 10 to 100 times higher than those in the relevant literature [ 15 , 37 , 38 ], in order to test whether the effect of the magnetic field may be ignored. As indicated by the data in table 4 , the magnetic field contribution is, in fact, negligible, in accordance with our previous three-dimensional modelling of the EAF [ 9 ].…”

Section: Resultsmentioning

confidence: 99%

Pragmatic analysis of the electric submerged arc furnace continuum

Karalis¹,

Karkalos²,

Antipas³

et al. 2017

R. Soc. open sci.

View full text Add to dashboard Cite

A transient mathematical model was developed for the description of fluid flow, heat transfer and electromagnetic phenomena involved in the production of ferronickel in electric arc furnaces. The key operating variables considered were the thermal and electrical conductivity of the slag and the shape, immersion depth and applied electric potential of the electrodes. It was established that the principal stimuli of the velocities in the slag bath were the electric potential and immersion depth of the electrodes and the thermal and electrical conductivities of the slag. Additionally, it was determined that, under the set of operating conditions examined, the maximum slag temperature ranged between 1756 and 1825 K, which is in accordance with industrial measurements. Moreover, it was affirmed that contributions to slag stirring due to Lorentz forces and momentum forces due to the release of carbon monoxide bubbles from the electrode surface were negligible.

show abstract

“…The arc shape can then be expressed as: The value of the offset is z = 0.9310 R c , which can be expressed as the rule of thumb that the vertex of the parabola lies inside the electrode at a depth equal to the radius of the cathode area. Several authors have proposed similar arc shapes by a quadratic behaviour of the arc radius as a function of the axial distance [17,24], but Equation (2) describing the arc radius has not been proposed before.…”

Section: Arc Shapementioning

confidence: 99%

Dimensionless representation of the column characteristics and weld pool interactions for a DC argon arc

Delgado-Álvarez

Méndez

Ramírez-Argáez

2019

Science and Technology of Welding and Joining

View full text Add to dashboard Cite

The column characteristics and weld pool interactions for a DC argon arc in a GTAW configuration are represented by dimensionless correlations. Arc was described by a numerical model, considering currents between 200-300 A and arc lengths between 5-10 mm. The arc, defined as the loci of the 10,000 K isotherm, was found to display a parabolic shape; whose parameters are independent of current and arc length. Arc column temperature, velocity, and magnetic field are scaled with the width of the arc and a maximum that can also be predicted with a dimensionless approach. Arc-melt interactions include arc pressure, heat and current fluxes, and shear stress are also captured in dimensionless form. Scaling results compare well to numerical and experimental results reported.

show abstract

Mathematical modeling of a direct current electric arc: Part II. Dimensionless representation of a direct current arc

Cited by 5 publications

References 8 publications

Generalized representation of arc shape, arc column characteristics and arc-weld pool interactions for DC electric arcs burning in monoatomic gases

Generalized representation of arc shape, arc column characteristics and arc-weld pool interactions for DC electric arcs burning in monoatomic gases

Pragmatic analysis of the electric submerged arc furnace continuum

Dimensionless representation of the column characteristics and weld pool interactions for a DC argon arc

Contact Info

Product

Resources

About