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Table 2 Physical parameters of the industrial dry spinning setups taken from [9, 17] and setup-specific reference values

From: Industrial dry spinning processes: algorithmic for a two-phase fiber model in airflows

Physical parameters

Description

Symbol

Value

Unit

CA density

\(\rho _{p}^{0}\)

1300

kg/m3

Acetone density

\(\rho _{d}^{0} \)

767

kg/m3

CA spec. heat cap.

\(q_{p}^{0}\)

1600

J/(kg K)

Acetone spec. heat cap.

\(q_{d}^{0} \)

2160

J/(kg K)

Molec. weight acetone

\(M_{d} \)

5.8110−2

kg/mol

Molec. weight air

\(M_{\star }\)

2.9010−3

kg/mol

Molar volume acetone

\(V_{d} \)

6.6010−5

m3/mol

Molar volume air

\(V_{\star }\)

2.0110−5

m3/mol

Setup-specific reference values

Description

Formula

Mass line density

\(\varrho _{M,0}=\rho (c_{\mathrm{in}})R_{\mathrm{in}}^{2}\pi \)

Curve

\(r_{0}=H\)

Diameter

\(d_{0}=2R_{\mathrm{in}}\)

Velocity

\(v_{0}=u_{\mathrm{in}}\)

Viscosity

\(\mu _{0}=\mu (c_{\mathrm{in}},T_{\mathrm{in}})\)

Spec. heat cap.

\(q_{0}=q(c_{\mathrm{in}})\)

Thermal cond.

\(C_{0}=C_{\mathrm{const}}\)

Diffusivity

\(D_{0}=D(c_{\mathrm{in}},T_{\mathrm{in}})\)

Take up speed

\(u_{\mathrm{out},0}=u_{\mathrm{out}}\)

Further scales

\(b_{0}=b_{\mathrm{in}}\), \(b \in \{T,\alpha ,\gamma ,p_{\star }, \lambda _{\star },\nu _{\star },q_{\star },\rho _{\star },D_{d,\star }\}\)