A SIMPLE METHOD OF OBTAINNING DIFFUSOIN COEFFICIENTS OF DYE IN THE FIBRE

Abstract

In the cases of the infinite and finite dyeing, (Dt/r²) was expanded as the power series of M_t/M_∞by the method of successive substitution, where D is the diffusion coefficient, r the radius of fibre, M_t the amount of dye taken up by the fibre in time t, and M_∞ the amount taken up at equilibrium. This expansion is always possible provided Dt/r²<1. Generally this condition is satisfied in most of dyeing. By this expression D is very easily obtained from M_t/M_∞.