$B{i}_c$	Biot number on the free surface of the strip
$B{i}_r$	Biot number through the contact surface
$c$	Specific heat ($\mathrm{J} {\mathrm{kg}}^{-1}{\mathrm{K}}^{-1}$)
$d$	Thickness of the strip ($\mathrm{m}$)
$h_c$	Coefficient of convective heat exchange on the free surface of the strip
$h_r$	Coefficient of contact heat conductivity through the surfaces
${\mathrm{I}}_{\mathrm{n}}(\cdot )$	Modified Bessel functions of the nth order of the first kind
${\mathrm{J}}_{\mathrm{n}}(\cdot )$	Bessel functions of the nth order of the first kind
${\mathrm{K}}_{\mathrm{n}}(\cdot )$	Modified Bessel functions of the nth order of the second kind
$k$	Thermal diffusivity (${\mathrm{m}}^2{\mathrm{s}}^{-1}$)
$K$	Thermal conductivity ($\mathrm{W} {\mathrm{m}}^{-1}{\mathrm{K}}^{-1}$)
$q$	Specific power of friction ($\mathrm{W} {\mathrm{m}}^{-2}$)
$q_0$	Nominal value of the specific friction power ($\mathrm{W} {\mathrm{m}}^{-2}$)
$t$	Time ($\mathrm{s}$)
$t_s$	Stop moment of the process ($\mathrm{s}$)
$T$	Temperature (${}^{°}\mathrm{C}$)
$T_0$	Initial temperature (${}^{°}\mathrm{C}$)
${\mathrm{Y}}_{\mathrm{n}}(\cdot )$	Bessel functions of the nth order of the second kind
$z$	Spatial coordinate in axial direction ($\mathrm{m}$)
${\gamma }^{\ast }$	Gradient parameter of FGM
$\Lambda$	Temperature rise scaling factor (${}^{°}\mathrm{C}$)
$\epsilon$	Dimensionless coefficient of thermal activity
$\Theta$	Temperature rise (${}^{°}\mathrm{C}$)
${\Theta }^{\ast }$	Dimensionless temperature rise
${\widehat{\Theta }}^{\ast }$	Dimensionless temperature rise during sliding
$\rho$	Density ($\mathrm{kg} {\mathrm{m}}^{-3}$)
$\tau$	Dimensionless time
${\tau }_s$	Dimensionless stop time
$\zeta$	Dimensionless spatial coordinate in axial direction