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Dependence of interfacial heat transfer coefficient on casting surface temperature during solidification of Al–Si alloy castings cast in CO2 sand mold

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Abstract

Interfacial heat transfer coefficient at the metal–mold interface (IHTC) was estimated by an iterative algorithm based on the function specification method. An Al–9 wt% Si alloy plate casting was made in a sand mold prepared by CO2 process. Thermal history obtained from the experiment was used to solve an inverse heat conduction problem. Acquired transient IHTC values are then given in function of the casting surface temperature at the interface. By comparing the obtained results with previous findings, the influence of grain fineness number and consequently of mold roughness on maximum IHTC values is revealed.

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Abbreviations

A :

Surface area (m2)

c p :

Specific heat (J kg−1 °C−1)

F O :

Fourier number

h :

Interfacial heat transfer coefficient (W m−2 °C−1)

k :

Thermal conductivity (W m−1 °C−1)

M :

Number of considered measurements

n :

Iteration number

N :

Number of cells in the mold subdomain

q :

Heat flux at the metal–mold interface (W m−2)

Ra :

Average roughness (μm)

S :

Objective function

T :

Calculated temperature (°C)

V :

Volume (m3)

x :

Cartesian coordinate (m)

X :

Sensitivity coefficient

Y :

Measured value of temperature (°C)

Δx :

Cell width (m)

t :

Thermocouple response time (s)

Δτ:

Time increment (s)

ρ :

Density (kg m−3)

τ :

Time (s)

ε :

Incremental value

CS :

Casting surface

I, II and III :

Mold subdomains

ini :

Initial

liq :

Liquidus temperature

m :

Nodal point considered

m2, m3 and m4:

Nodal points corresponding to locations of thermocouples TC2, TC3 and TC4 respectively

MS :

Mold surface

r :

Considered subdomain

sol :

Solidus temperature

TC :

Thermocouple

f :

Number of future time steps for which the heat flux is constant

p :

Time step

j :

Time step of internal regularization loop

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Acknowledgments

The authors gratefully acknowledge financial support provided by the Serbian Ministry of Education, Science and Technological Development.

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000, Novi Sad, Serbia

    Lazar Kovačević, Pal Terek, Aleksandar Miletić & Damir Kakaš

Authors
  1. Lazar Kovačević
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  2. Pal Terek
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  3. Aleksandar Miletić
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Correspondence to Lazar Kovačević.

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Kovačević, L., Terek, P., Miletić, A. et al. Dependence of interfacial heat transfer coefficient on casting surface temperature during solidification of Al–Si alloy castings cast in CO2 sand mold. Heat Mass Transfer 50, 1115–1124 (2014). https://doi.org/10.1007/s00231-014-1326-0

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