| $ $
| bolt | $\mathrm{ }$
|
| $A$
| function $ A $ | $\mathrm{ }$
|
| $A_b$
| cross‐sectional area of the bolts | $\mathrm{mm^2}$
|
| $B$
| function $ B $ | $\mathrm{ }$
|
| $C$
| function $ C $ | $\mathrm{ }$
|
| $C_1$
| coefficient $ C_1 $ | $\mathrm{}$
|
| $C_2$
| coefficient $ C_2 $ | $\mathrm{}$
|
| $C_3$
| coefficient $ C_3 $ | $\mathrm{}$
|
| $C_4$
| coefficient $ C_4 $ | $\mathrm{}$
|
| $C_5$
| coefficient $ C_5 $ | $\mathrm{}$
|
| $C_c$
| coefficient according to load | $\mathrm{ }$
|
| $D$
| diameter of the shaft | $\mathrm{mm}$
|
| $D$
| basic major diameter of internal thread (nominal diameter) | $\mathrm{mm}$
|
| $D$
| diameter, larger diameter | $\mathrm{mm}$
|
| $D$
| function $ D $ | $\mathrm{ }$
|
| $D_1$
| basic minor diameter of internal thread | $\mathrm{mm}$
|
| $D_2$
| basic pitch diameter of internal thread | $\mathrm{mm}$
|
| $E$
| function $ E $ | $\mathrm{ }$
|
| $F$
| function $ F $ | $\mathrm{ }$
|
| $G$
| function $ G $ | $\mathrm{ }$
|
| $H$
| height of fundamental triangle | $\mathrm{mm}$
|
| $H$
| width, larger width | $\mathrm{mm}$
|
| $H$
| geopotential altitude | $\mathrm{m}$
|
| $H_b$
| lower limit geopotential altitude | $\mathrm{m}$
|
| $H_p$
| pressure scale height | $\mathrm{m}$
|
| $I$
| exponent $ I $ | $\mathrm{ }$
|
| $J$
| exponent $ J $ | $\mathrm{ }$
|
| $J^o$
| exponent $ J^o $ | $\mathrm{ }$
|
| $K_t$
| stress concentration factor | $\mathrm{ }$
|
| $K_{tg}$
| stress concentration factor with the nominal stress based on gross area | $\mathrm{ }$
|
| $K_{tn}$
| stress concentration factor with the nominal stress based on net area | $\mathrm{ }$
|
| $K_{ts}$
| stress concentration factor for shear stress | $\mathrm{ }$
|
| $M$
| air molar mass at sea level | $\mathrm{kg\cdot kmol^{-1}}$
|
| $M$
| moment | $\mathrm{Nm}$
|
| $N_A$
| Avogadro constant | $\mathrm{kmol^{-1}}$
|
| $P$
| pitch | $\mathrm{mm}$
|
| $P$
| load, force | $\mathrm{N}$
|
| $P_{SV}$
| saturated vapor pressure | $\mathrm{Pa}$
|
| $P_{all-B}$
| allowable bearing stress | $\mathrm{MPa}$
|
| $R$
| specific gas constant | $\mathrm{J\cdot K^{-1}\cdot kg^{-1}}$
|
| $R$
| specific gas constant of ordinary water | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$
|
| $R^*$
| universal gas constant | $\mathrm{J\cdot K^{-1}\cdot kmol^{-1}}$
|
| $S$
| Sutherland's empirical coefficients $ S $ | $\mathrm{K}$
|
| $S_F$
| safety factor | $\mathrm{ }$
|
| $S_{y}$
| the minimum yield strength | $\mathrm{MPa}$
|
| $T$
| temperature $ T $ | $\mathrm{K}$
|
| $T$
| torque | $\mathrm{Nm}$
|
| $T$
| the water temperature | $\mathrm{°C}$
|
| $T^*$
| temperature reducing quantity | $\mathrm{K}$
|
| $T_b$
| lower limit temperature | $\mathrm{K}$
|
| $T_{SV}$
| saturated vapor temperature | $\mathrm{°C}$
|
| $\text{Region}$
| region | $\mathrm{ }$
|
| $a$
| speed of Sound | $\mathrm{m/s}$
|
| $b$
| width key | $\mathrm{mm}$
|
| $c_p$
| specific isobaric heat capacity | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$
|
| $c_ν$
| specific isochoric heat capacity | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$
|
| $d$
| basic major diameter of external thread (nominal diameter) | $\mathrm{mm}$
|
| $d$
| diameter | $\mathrm{mm}$
|
| $d$
| width | $\mathrm{mm}$
|
| $d_1$
| basic minor diameter of external thread | $\mathrm{mm}$
|
| $d_2$
| basic pitch diameter of external thread | $\mathrm{mm}$
|
| $d_3$
| basic smaller diameter of external thread | $\mathrm{mm}$
|
| $g$
| gravitational acceleration | $\mathrm{m/s^2}$
|
| $h$
| height key | $\mathrm{mm}$
|
| $h$
| thickness | $\mathrm{mm}$
|
| $h$
| specific enthalpy | $\mathrm{J\cdot kg^{-1}}$
|
| $h$
| height above sea level | $\mathrm{m}$
|
| $l$
| mean free path of air particles | $\mathrm{m}$
|
| $l$
| length key | $\mathrm{mm}$
|
| $l_t$
| tolerance of key length | $\mathrm{mm}$
|
| $n$
| air number density | $\mathrm{m^{-3}}$
|
| $n$
| coefficient $ n $ | $\mathrm{ }$
|
| $n^o$
| coefficient $ n^o $ | $\mathrm{ }$
|
| $p$
| the water pressure | $\mathrm{Pa}$
|
| $p^*$
| pressure reducing quantity | $\mathrm{Pa}$
|
| $p_b$
| lower limit pressure | $\mathrm{Pa}$
|
| $p_{air}$
| atmospheric pressure air | $\mathrm{Pa}$
|
| $r$
| nominal earth's radius | $\mathrm{m}$
|
| $r$
| radius of curvature of hole, arc, notch | $\mathrm{mm}$
|
| $r_1$
| max. rounding the key | $\mathrm{mm}$
|
| $r_2$
| groove rounding | $\mathrm{mm}$
|
| $s$
| specific entropy | $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$
|
| $t$
| depth in the shaft | $\mathrm{mm}$
|
| $t$
| depth of groove, notch | $\mathrm{mm}$
|
| $t_1$
| depth in the hub | $\mathrm{mm}$
|
| $t_t$
| tolerance of the groove height in the shaft | $\mathrm{mm}$
|
| $t_{1t}$
| tolerance of the groove height in the hub | $\mathrm{mm}$
|
| $u$
| specific internal energy | $\mathrm{J\cdot kg^{-1}}$
|
| $v̄$
| mean air-particle speed | $\mathrm{m/s}$
|
| $w$
| speed of sound | $\mathrm{m\cdot s^{-1}}$
|
| $α_p$
| relative pressure coefficient | $\mathrm{K^{-1}}$
|
| $α_ν$
| isobaric cubic expansion coefficient | $\mathrm{K^{-1}}$
|
| $β$
| transformed pressure | $\mathrm{ }$
|
| $β$
| temperature gradient $ β $ | $\mathrm{K\cdot m^{-1}}$
|
| $β_p$
| isothermal stress coefficient | $\mathrm{kg\cdot m^{-3}}$
|
| $β_s$
| Sutherland's empirical coefficients $ β_s $ | $\mathrm{kg\cdot m^{-1}\cdot s^{-1}\cdot K^{-1/2}}$
|
| $γ$
| dimensionless Gibbs free energy | $\mathrm{ }$
|
| $γ^o$
| ideal-gas part | $\mathrm{ }$
|
| $γ^o_{ππ}$
| second partial derivative of $ γ^o $ with respect to $ π $ | $\mathrm{ }$
|
| $γ^o_{πτ}$
| cross derivative of $ γ^o $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$
|
| $γ^o_{ττ}$
| second partial derivative of $ γ^o $ with respect to $ τ $ | $\mathrm{ }$
|
| $γ^o_π$
| derivative of $ γ^o $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$
|
| $γ^o_τ$
| partial derivative of $ γ^o $ with respect to $ τ $ | $\mathrm{ }$
|
| $γ^r$
| residual part | $\mathrm{ }$
|
| $γ^r_{ππ}$
| second partial derivative of $ γ^r $ with respect to $ π $ | $\mathrm{ }$
|
| $γ^r_{πτ}$
| cross derivative of $ γ^r $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$
|
| $γ^r_{ττ}$
| second partial derivative of $ γ^r $ with respect to $ τ $ | $\mathrm{ }$
|
| $γ^r_π$
| derivative of $ γ^r $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$
|
| $γ^r_τ$
| partial derivative of $ γ^r $ with respect to $ τ $ | $\mathrm{ }$
|
| $γ_{air}$
| specific weight air | $\mathrm{kg\cdot m^{-2}\cdot s^{-2}}$
|
| $γ_{ππ}$
| second partial derivative of $ γ $ with respect to $ π $ | $\mathrm{ }$
|
| $γ_{πτ}$
| cross derivative of $ γ $ with respect to $ π $ and temperature $ τ $ | $\mathrm{ }$
|
| $γ_{ττ}$
| second partial derivative of $ γ $ with respect to $ τ $ | $\mathrm{ }$
|
| $γ_π$
| derivative of $ γ $ with respect to the dimensionless pressure $ π $ | $\mathrm{ }$
|
| $γ_τ$
| partial derivative of $ γ $ with respect to $ τ $ | $\mathrm{ }$
|
| $δ$
| reduced density | $\mathrm{ }$
|
| $θ$
| reduced temperature | $\mathrm{ }$
|
| $θ$
| transformed temperature | $\mathrm{ }$
|
| $κ$
| adiabatic index | $\mathrm{ }$
|
| $κ_T$
| isothermal compressibility | $\mathrm{Pa^{-1}}$
|
| $λ$
| thermal conductivity | $\mathrm{W\cdot m^{-1}\cdot K^{-1}}$
|
| $μ$
| dynamic viscosity | $\mathrm{kg\cdot m^{-1}\cdot s^{-1}}$
|
| $ν$
| kinematic viscosity | $\mathrm{m^2\cdot s^{-1}}$
|
| $ν$
| Poisson's ratio | $\mathrm{ }$
|
| $ν$
| specific volume | $\mathrm{m^3\cdot kg^{-1}}$
|
| $π$
| reduced pressure | $\mathrm{ }$
|
| $ρ$
| mass density | $\mathrm{kg\cdot m^{-3}}$
|
| $ρ^*$
| mass density reducing quantity | $\mathrm{kg\cdot m^{-3}}$
|
| $ρ_{air}$
| density air | $\mathrm{kg/m^3}$
|
| $σ$
| effective collision diameter of an air molecule | $\mathrm{m}$
|
| $σ$
| normal stress | $\mathrm{MPa}$
|
| $σ_{all-A}$
| allowable axial stress | $\mathrm{MPa}$
|
| $σ_{all-B}$
| allowable bending stress | $\mathrm{MPa}$
|
| $σ_{all-C}$
| allowable combined stress | $\mathrm{MPa}$
|
| $σ_{max}$
| maximum normal stress | $\mathrm{MPa}$
|
| $σ_{nom}$
| nominal or reference normal stress | $\mathrm{MPa}$
|
| $τ$
| inverse reduced temperature | $\mathrm{ }$
|
| $τ_{all-S}$
| allowable shear stress | $\mathrm{MPa}$
|
| $τ_{max}$
| maximum shear stress | $\mathrm{MPa}$
|
| $τ_{nom}$
| nominal or reference shear stress | $\mathrm{MPa}$
|
| $φ$
| latitude | $\mathrm{°}$
|
| $φ$
| dimensionless Helmholtz free energy | $\mathrm{ }$
|
| $φ_{δδ}$
| second partial derivative of $ φ $ with respect to $ δ $ | $\mathrm{ }$
|
| $φ_{δτ}$
| cross derivative of $ φ $ with respect to $ δ $ and temperature $ τ $ | $\mathrm{ }$
|
| $φ_{ττ}$
| second partial derivative of $ φ $ with respect to $ τ $ | $\mathrm{ }$
|
| $φ_δ$
| derivative of $ φ $ with respect to the dimensionless density $ δ $ | $\mathrm{ }$
|
| $φ_τ$
| partial derivative of $ φ $ with respect to $ τ $ | $\mathrm{ }$
|
| $ω$
| air-particle collision frequency | $\mathrm{Hz}$
|
