Abstract
Investigation was made on the rate of dyeing equations in regard to the dyeing of polyester fibre with commerical disperse dyes from the finite dyebath, which is common for practical dyeing.
Each of the equations presented by Wilson, Crank, Vickerstaff and Cegarra and Puente is found to fail to represent the dyeing behaviour over a whole dyeing process in the system concerned
The present paper proposes a new equation, which is incorporated with the observed delay in time from the theoretical curves in the early stages of dyeing, on the basis of a fundamental equation of the exponential form.
where α is a constant, and was made clear to give a value of 0.8 in the system examined. It was confirmed that the proposed equation gives a good fit to the time/adsorption isotherms obtained experimentally, irrespective of the type of dyes, dyeing temperatures and dyeing concentrations.
