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. 2020 Oct 29;13(21):4846. doi: 10.3390/ma13214846
Aa nominal area of the contact region between brake shoe and wheel (m2)
c specific heat capacity (J/(kg K))
deq nominal wheel outer diameter deq=2req (m)
f coefficient of friction (dimensionless)
Fc contact force (N)
h heat transfer coefficient (W/(m2 K))
k thermal diffusivity (m2/s)
K thermal conductivity (W/(m K))
m braking mass per one wheel (kg)
M braking torque (N m)
p contact pressure (MPa)
q specific friction power (W/m2)
r radial coordinate (m)
req equivalent radius of the contact region (m)
Rw equivalent radius of the wheel Rw=req (m)
t time (s)
ts total braking time (s)
T temperature (°C)
Ta ambient temperature (°C)
T0 initial temperature (°C)
T13 average temperature from T1, T2 and T3 (°C)
T46 average temperature from T4, T5 and T6 (°C)
T1,T2,T3 temperature at specific location inside the wheel (°C)
T4,T5,T6 temperature at specific location on the contact surface of the wheel (°C)
V velocity on the equivalent radius of the wheel (vehicle velocity) (m/s)
V0 initial vehicle velocity (m/s)
z axial coordinate (m)
Greek symbols
γ heat partition coefficient (dimensionless)
Γ contact region of the brake shoe and wheel (m2)
η coverage factor (dimensionless)
θ circumferential coordinate (rad)
ρ mass density (kg/m3)
ω angular velocity of the wheel (rad/s)
ω0 initial angular velocity of the wheel (rad/s)
Ωs region within the volume of the brake shoe (m3)
Ωw region within the volume of the wheel (m3)
Subscripts
s,w brake shoe, wheel
E experiment