Table 1 Parameters of the gas face seal

Outer radius \(r_{{\text{o}}} \left( {{\text{mm}}} \right)\)

\(61.6\)

Inner radius \(r_{{\text{i}}} \left( {{\text{mm}}} \right)\)

\(51.6\)

Spiral groove inner radius \(r_{{{\text{spr}}}} \left( {{\text{mm}}} \right)\)

\(55.5\)

Spiral groove angle \(\beta_{{{\text{spr}}}} \left(^\circ \right)\)

15

Groove depth \(h_{{{\text{spr}}}} \left( {{\upmu \text{m}}} \right)\)

6

Groove count \(N_{{{\text{spr}}}}\)

12

Stator mass \(m\left( {{\text{kg}}} \right)\)

0.2

Stator moment of inertia \(J\left( {{\text{kg}}\cdot{\text{m}}^{2} } \right)\)

\(3.5 \times 10^{ - 4}\)

Support axial stiffness \(k_{{z{\text{s}}0}} \left( {{\text{N}}/{\text{m}}} \right)\)*

\(1.64 \times 10^{4}\)

Support angular stiffness \(k_{{\gamma {\text{s}}0}} \left( {{\text{N}}\cdot{\text{m}}/{\text{rad}}} \right)\)*

\(31\)

Support axial damping \(c_{{z{\text{s}}0}} \left( {{\text{N}}\cdot{\text{s}}/{\text{m}}} \right)\)*

\(1 \times 10^{3}\)

Support angular damping \(c_{{\gamma {\text{s}}0}} \left( {{\text{N}}\cdot{\text{m}}\cdot{\text{s}}/{\text{rad}}} \right)\)*

\(1.4\)

Standard deviation of surface height \(\sigma_{{\text{a}}} \left( {{\upmu \text{m}}} \right)\)

0.177

Standard deviation of asperity height \(\sigma_{{\text{s}}} \left( {{\upmu \text{m}}} \right)\)

0.170

Mean of asperity height \(\overline{w}_{{\text{s}}} \left( {{\upmu \text{m}}} \right)\)

0.114

Asperity density \(\eta_{{\text{s}}} \left( {{\upmu \text{m}}^{ - 2} } \right)\)

0.133

Average radius of asperity tips \(R_{{\text{s}}} \left( {{\upmu \text{m}}} \right)\)

3.02

Young’s Modulus \(E\left( {{\text{GPa}}} \right)\)

151

Maximum contact pressure \(p_{m} { }\left( {{\text{MPa}}} \right)\)

242.24

Gas dynamic viscosity \(\mu \left( {{\text{Pa}}\cdot{\text{s}}} \right)\)

\(1.8 \times 10^{ - 5}\)

Gas density under \(0.1{\text{MPaA}}\)\(\rho \left( {{\text{kg}}/{\text{m}}^{3} } \right)\)

1.2

Absolute gas pressure at inner radius \(p_{{\text{i}}} \left( {{\text{MPa}}} \right)\)

\(0.1\)

Absolute gas pressure at outer radius \(p_{{\text{o}}} \left( {{\text{MPa}}} \right)\)

\(0.5\)

Land clearance at zero displacement \(h_{0} \left( {{\upmu \text{m}}} \right)\)

\(1.93\)

Rotation speed \(n_{\omega } \left( {{\text{r}}/{\text{min}}} \right)\)

\(1200\)