Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity

Table 3

Thermal diffusivity functions considered in the current study.

Material	Thermal diffusivity function; 𝛼(𝑇), m^2/s	𝑅^2	Temperature range; (K)
Stainless steel; AISI 304	𝛼(𝑇)=𝑎𝑇+𝑏; 𝑎=2.0×10^−6, 𝑏=0.0037	0.9968	100–2500
Mild steel	𝛼(𝑇)=𝑎𝑇^2+𝑏𝑇+𝑐; 𝑎=1.0×10^−8, 𝑏=−3.0×10^−5, 𝑐=0.0276	0.9957	100–1000