Using Equation 5.6 for moisture diffusion, derive an equation for the time required for an initially dry material to reach \(99.9 \%\) of its fully saturated equilibrium moisture content. The series in Equation 5.6 converges rapidly, so for the purposes of this problem, it is necessary only to consider the first term. The answer should be expressed in terms of the thickness, \(h\), and the diffusivity, \(D_{z}\).

Transcribed Image Text:

G: = M-Mi Mm - Mi 8 = = 1- j=0 exp[(2j+1)(Dt/h)] (2j+1) (5.6)