A homogeneous solid body of arbitrary shape is initially at temperature To throughout. At t0 it is immersed in a fluid medium of temperature T,. Let L be a characteristic length in (12B.7-1) at/L2. Relate this result to the solid. Show that dimensional analysis predicts that Θ Θ(f, η, ζ. and geometrical ratios)
where
Θ-(T-Tp/(T-T),f* x/L, η-y/L, ζ-z/L, and the graphs given in $12.1