A Model in Which Soil Detachment Rate and Soil Redeposition Rate Vary with Time

Soil Detachment and Redeposition Process in Washing (Part 3)

Abstract

In order to show what bearing the soil detachment rate d and the soil redeposition rate r which vary with time have on the input output relation of the mass of soil in washing process, a block diagram model is studied.
The study has shown that :
(1) When the final value of the mass of soil in washing is not used, transfer function of a model is expressed as nΣp=1 (F_p/D_p) ×nIIp=1E_p, where _p of II is equal to _p of Σ;D_p=d_p+γ_pA/L; E_p = [{r_p-1A / L + d_p-1 exp (-D_p-1t_p-1)} / D_p-1] / [{γ_pA/L + d_p exp (-D_pt_p-1)} /D_p]; F_p = {exp (-t_p-1s) -exp (-t_ps)} γ _pA / Ls + d_p exp (-D_pt_p-1) exp (-t_p-1s) / (s+D_p) -d_p exp (-D_pt_p) exp (-t_ps) / (s+D_p); d_p, d at time t_p; γ_p, γ at time t_p; t₀=0.
(2) In the case of using the final value of the mass of soil, transfer function of a model isexpressed asnΣp=1 (F_p/D_p).
(3) By means of the above mentioned (1) or (2) model, d_p and γ_p are obtained from curve which shows the relation between the mass of soil on fabrics and time.