Basic equation
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$κ$Adiabatic index
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$ω$Air-particle collision frequency
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$M$Air molar mass at sea level
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$n$Air number density
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$σ_{all-A}$Allowable axial stress
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$P_{all-B}$Allowable bearing stress
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$σ_{all-B}$Allowable bending stress
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$σ_{all-C}$Allowable combined stress
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$τ_{all-S}$Allowable shear stress
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$p_{air}$Atmospheric pressure air
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$N_A$Avogadro constant
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$d_1$Basic minor diameter of external thread
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$D_1$Basic minor diameter of internal thread
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$d_2$Basic pitch diameter of external thread
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$D_2$Basic pitch diameter of internal thread
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$d_3$Basic smaller diameter of external thread
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$n$Coefficient $ n $
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$n^o$Coefficient $ n^o $
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$γ_{πτ}$Cross derivative of $ γ $ with respect to $ π $ and temperature $ τ $
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$γ^o_{πτ}$Cross derivative of $ γ^o $ with respect to $ π $ and temperature $ τ $
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$γ^r_{πτ}$Cross derivative of $ γ^r $ with respect to $ π $ and temperature $ τ $
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$φ_{δτ}$Cross derivative of $ φ $ with respect to $ δ $ and temperature $ τ $
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$A_b$Cross‐sectional area of the bolts
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$ρ_{air}$Density air
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$t_1$Depth in the hub
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$t$Depth in the shaft
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$γ_π$Derivative of $ γ $ with respect to the dimensionless pressure $ π $
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$γ^o_π$Derivative of $ γ^o $ with respect to the dimensionless pressure $ π $
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$γ^r_π$Derivative of $ γ^r $ with respect to the dimensionless pressure $ π $
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$φ_δ$Derivative of $ φ $ with respect to the dimensionless density $ δ $
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$γ$Dimensionless Gibbs free energy
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$φ$Dimensionless Helmholtz free energy
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$μ$Dynamic viscosity
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$σ$Effective collision diameter of an air molecule
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$I$Exponent $ I $
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$J$Exponent $ J $
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$J^o$Exponent $ J^o $
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$A$Function $ A $
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$B$Function $ B $
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$C$Function $ C $
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$D$Function $ D $
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$E$Function $ E $
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$F$Function $ F $
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$G$Function $ G $
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$H$Geopotential altitude
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$g$Gravitational acceleration
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$r_2$Groove rounding
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$h$Height key
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$H$Height of fundamental triangle
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$γ^o$Ideal-gas part
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$τ$Inverse reduced temperature
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$α_ν$Isobaric cubic expansion coefficient
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$κ_T$Isothermal compressibility
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$β_p$Isothermal stress coefficient
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$ν$Kinematic viscosity
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$H_b$Lower limit geopotential altitude
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$p_b$Lower limit pressure
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$T_b$Lower limit temperature
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$ρ$Mass density
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$ρ^*$Mass density reducing quantity
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$r_1$Max. rounding the key
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$σ_{max}$Maximum normal stress
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$v̄$Mean air-particle speed
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$l$Mean free path of air particles
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$r$Nominal earth's radius
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$σ_{nom}$Nominal or reference normal stress
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$γ_τ$Partial derivative of $ γ $ with respect to $ τ $
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$γ^o_τ$Partial derivative of $ γ^o $ with respect to $ τ $
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$γ^r_τ$Partial derivative of $ γ^r $ with respect to $ τ $
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$φ_τ$Partial derivative of $ φ $ with respect to $ τ $
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$p^*$Pressure reducing quantity
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$H_p$Pressure scale height
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$δ$Reduced density
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$π$Reduced pressure
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$θ$Reduced temperature
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$\text{Region}$Region
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$α_p$Relative pressure coefficient
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$γ^r$Residual part
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$P_{SV}$Saturated vapor pressure
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$T_{SV}$Saturated vapor temperature
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$γ_{ππ}$Second partial derivative of $ γ $ with respect to $ π $
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$γ_{ττ}$Second partial derivative of $ γ $ with respect to $ τ $
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$γ^o_{ππ}$Second partial derivative of $ γ^o $ with respect to $ π $
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$γ^o_{ττ}$Second partial derivative of $ γ^o $ with respect to $ τ $
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$γ^r_{ππ}$Second partial derivative of $ γ^r $ with respect to $ π $
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$γ^r_{ττ}$Second partial derivative of $ γ^r $ with respect to $ τ $
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$φ_{δδ}$Second partial derivative of $ φ $ with respect to $ δ $
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$φ_{ττ}$Second partial derivative of $ φ $ with respect to $ τ $
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$h$Specific enthalpy
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$s$Specific entropy
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$R$Specific gas constant
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$R$Specific gas constant of ordinary water
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$u$Specific internal energy
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$c_p$Specific isobaric heat capacity
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$c_ν$Specific isochoric heat capacity
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$ν$Specific volume
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$γ_{air}$Specific weight air
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$a$Speed of Sound
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$w$Speed of sound
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$K_t$Stress concentration factor
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$K_{ts}$Stress concentration factor for shear stress
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$K_{tg}$Stress concentration factor with the nominal stress based on gross area
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$K_{tn}$Stress concentration factor with the nominal stress based on net area
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$S$Sutherland's empirical coefficients $ S $
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$β_s$Sutherland's empirical coefficients $ β_s $
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$T$Temperature $ T $
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$β$Temperature gradient $ β $
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$T^*$Temperature reducing quantity
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$λ$Thermal conductivity
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$l_t$Tolerance of key length
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$t_{1t}$Tolerance of the groove height in the hub
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$t_t$Tolerance of the groove height in the shaft
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$β$Transformed pressure
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$θ$Transformed temperature
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$R^*$Universal gas constant
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$b$Width key