Table 1 Thermo-physical properties, including base S.I. units, used in the thermal fluid dynamics simulations: density, ρ, kinematic viscosity, ν, thermal conductivity in the solid phase, ksolid, thermal conductivity in the fluid phase, kfluid, specific heat in the solid state, \({c}_{{p}_{\mathrm{solid}}}\), specific heat in the fluid state, \({c}_{{p}_{\mathrm{fluid}}}\), melting temperature, Tmelt, vapourisation temperature, Tvap, latent heat of fusion, Lfus, latent heat of vapourisation, Lvap, molar mass, m, thermal expansion coefficient, β.

From: A thermal fluid dynamics framework applied to multi-component substrates experiencing fusion and vaporisation state transitions

 

Fe

Fevap

Ni

Nivap

Cr

Crvap

Mo

Movap

Ar

\(\rho \ \left[{\mathrm{kg}}\ {\mathrm{{m}}}^{-3}\right]\)

7874

7.874

8908

8.908

7190

7.19

10280

10.28

1.4

\(\nu =\frac{\mu }{\rho }\ \left[{\mathrm{m}}^{2}\ {\mathrm{s}}^{-1}\right]\)

1 × 10−6

5 × 10−6

1 × 10−6

5 × 10−6

1 × 10−6

5 × 10−6

1 × 10−6

5 × 10−6

1.48 × 10−5

\({k}_{solid}\ \left[{\mathrm{kg}}\ {\mathrm{m}}\ {\mathrm{s}}^{-3}\ {\mathrm{K}}^{-1}\right]\)

80.4

90.9

94.0

138.0

\({k}_{fluid}\ \left[{\mathrm{kg}}\ {\mathrm{m}}\ {\mathrm{s}}^{-3}\ {\mathrm{K}}^{-1}\right]\)

30.0

10.0

35.0

10.0

35.0

10.0

50.0

10.0

0.017

\({c}_{{p}_{solid}}\ \left[{\mathrm{m}}^{2}\ {\mathrm{s}}^{-2}\ {\mathrm{K}}^{-1}\right]\)

456

450

450

250

\({c}_{{p}_{fluid}}\ \left[{\mathrm{m}}^{2}\ {\mathrm{s}}^{-2}\ {\mathrm{K}}^{-1}\right]\)

820

1000

730

1000

940

1000

370

1000

521

\({T}_{melt}\ \left[{\mathrm{K}}\right]\)

1810

1728

2180

2895

83

\({T}_{vap}\ \left[{\mathrm{K}}\right]\)

3134

3134

3000

3000

2944

2944

4912

4912

87

\({L}_{fus}\ \left[{\mathrm{m}}^{2}\ {\mathrm{s}}^{-2}\right]\)

2.7 × 105

2.97 × 105

4.04 × 105

1.44 × 105

\({L}_{vap}\ \left[{\mathrm{m}}^{2}\ {\mathrm{s}}^{-2}\right]\)

6.09 × 106

6.52 × 106

6.67 × 106

4.15 × 106

\(m\ \left[{\mathrm{kg}}\ {\mathrm{mol}}^{-1}\right]\)

0.055

0.055

0.058

0.058

0.052

0.052

0.096

0.096

0.04

\(\beta \ \left[{\mathrm{K}}^{-1}\right]\)

1 × 10−5

5 × 10−4

1 × 10−5

5 × 10−4

1 × 10−5

5 × 10−4

1 × 10−5

5 × 10−4

5 × 10−4

  1. The thermal conductivity’s for the molten state, kfluid, of Ni, Mo, and Cr are estimated, as little data for these values is present in the literature60,61,62,63.