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Effect of process parameters on transport phenomena during solidification in the presence of electromagnetic stirring

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Abstract

In the present work, a numerical study is performed to predict the effect of process parameters on transport phenomena during solidification of aluminium alloy A356 in the presence of electromagnetic stirring. A set of single-phase governing equations of mass, momentum, energy and species conservation is used to represent the solidification process and the associated fluid flow, heat and mass transfer. In the model, the electromagnetic forces are incorporated using an analytical solution of Maxwell equation in the momentum conservation equations and the slurry rheology during solidification is represented using an experimentally determined variable viscosity function. Finally, the set of governing equations is solved for various process conditions using a pressure based finite volume technique, along with an enthalpy based phase change algorithm. In present work, the effect of stirring intensity and cooling rate are considered. It is found that increasing stirring intensity results in increase of slurry velocity and corresponding increase in the fraction of solid in the slurry. In addition, the increasing stirring intensity results uniform distribution of species and fraction of solid in the slurry. It is also found from the simulation that the distribution of solid fraction and species is dependent on cooling rate conditions. At low cooling rate, the fragmentation of dendrites from the solid/liquid interface is more.

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Abbreviations

C:

Species concentration (kg/kg)

Cr :

Force correction factor

f:

Weight fraction

F:

Lorentz force (N/m3)

H0 :

Magnetic field intensity (A/m)

ΔH:

Latent heat content (J/kg)

J0 :

Current density (A/m2)

k:

Thermal conductivity (W/m-K)

La :

Latent heat of fusion (J/kg)

LS :

Stirrer Length (m)

r:

Radius (m)

r, Z:

Coordinate axes (m)

Rb :

Billet radius (m)

T:

Temperature (°C)

t:

Time (s)

Ū:

Velocity vector (m/s)

u,w :

Components of Ū

μ0 :

Magnetic permeability (H/m)

l:

Liquid plase

r:

Radial

s:

Solid phase

z:

Axial

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India

    N. Barman

  2. Dept. of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India

    P. Dutta

Authors
  1. N. Barman
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  2. P. Dutta
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Correspondence to N. Barman.

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Barman, N., Dutta, P. Effect of process parameters on transport phenomena during solidification in the presence of electromagnetic stirring. Trans Indian Inst Met 62, 469–474 (2009). https://doi.org/10.1007/s12666-009-0063-4

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  • DOI: https://doi.org/10.1007/s12666-009-0063-4

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