T(x,t) = 100 - 80 * erf(x / 0.2) + 4 * (1 - (x/0.02)^2)
ρc_p * ∂T/∂t = k * ∂^2T/∂x^2 + q incropera principles of heat and mass transfer solution pdf
where α is the thermal diffusivity, which is given by: T(x,t) = 100 - 80 * erf(x / 0
The resulting temperature distribution is: incropera principles of heat and mass transfer solution pdf
α = k / (ρ * c_p)
Substituting the given values, the temperature distribution in the wall at t = 10 s can be determined as:
Using the finite difference method, the temperature distribution in the wall can be determined as: