Cableizer ®

Constant $e$

The number $e$ is a mathematical constant that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler's constant $\gamma$.

Symbol
$e$
Unit
m/s$^2$

Default
2.718281828459045

Used in
$a_c$
Skin and proximity effect coefficient a PAC/GIL conductor
$a_{encl}$
Skin and proximity effect coefficient a PAC/GIL enclosure
$\alpha_{gas}$
Thermal diffusivity gas [m$^2$/s]
$b_c$
Skin and proximity effect coefficient b PAC/GIL conductor
$b_{encl}$
Skin and proximity effect coefficient b PAC/GIL enclosure
$c_{p,gas}$
Specific heat capacity gas, constant pressure [J/(kg.K)]
$c_{p,soil}$
Volumetric heat capacity soil material [J/(kg.K)]
$c_{p,w}$
Specific heat capacity water, constant pressure [J/(kg.K)]
$c_{v,w}$
Specific heat capacity water, constant volume [J/(kg.K)]
$\\delta{}_{soil}$
Thermal diffusivity soil [m$^2$/s]
$\eta_{gas}$
Dynamic viscosity gas [Pa.s]
$\eta_w$
Dynamic viscosity water [Pa.s]
$g_s$
Substitution coefficient $g_s$ for eddy-currents
$\gamma_{bessel}$
Bessel constant [p.u.]
$H_1$
Inductance $H_1$ armour [H/m]
$H_2$
Inductance $H_2$ armour [H/m]
$H_3$
Inductance $H_3$ armour [H/m]
$k_{air}$
Thermal conductivity air [W/(m.K)]
$k_{gas}$
Thermal conductivity gas [W/(m.K)]
$K_k$
Specific short-circuit parameter [A.s$^{1/2}$/mm$^2$]
$\lambda_{12}$
Loss factor shield, eddy currents
$\lambda_2$
Loss factor armour
$\lambda_{21}$
Loss factor armour, circulating currents
$\lambda_{22}$
Loss factor shield, eddy currents
$\lambda_3$
Loss factor steel pipe pipe-type cable
$\lambda_4$
Loss factor magnetic duct
$m_0$
Substitution coefficient $m_0$ for eddy-currents [Hz.m/$\Omega$]
$M_k$
Thermal contact factor [s$^{1/2}$]
$\nu_{air}$
Kinematic viscosity air [m$^2$/s]
$\nu_{gas}$
Kinematic viscosity gas [m$^2$/s]
$\nu_w$
Kinematic viscosity water [m$^2$/s]
$P_L$
Active power load-side [kW]
$p_{soil}$
Depth of image source
$p_w$
Pressure water [bar]
$\mathrm{Pr}_{air}$
Prandtl number air
$\mathrm{Pr}_{gas}$
Prandtl number gas
$R_{sp}$
Electrical resistance steel pipe [$\Omega$/m]
$\rho_{gas}$
Density gas [kg/m$^3$]
$T_L$
Thermal resistance, longitudinal [K.m/W]
$x_p$
Factor for proximity effect of conductors
$x_s$
Factor for skin effect on conductor