Final answer:
Continuous dyeing involves continuous movement of fabric through the dye bath, while batch dyeing involves dyeing a fixed amount of fabric in a stationary dye bath.
Step-by-step explanation:
When dyeing polyester with disperse dyes, there are differences in behavior between continuous and batch dyeing processes. In continuous dyeing, the fabric moves continuously through the dye bath, allowing for a more even and consistent dye distribution. This process is often used for large-scale production. On the other hand, batch dyeing involves dyeing a fixed amount of fabric in a stationary dye bath. This process allows for more control over the dyeing process and can be used for small-scale production or custom dyeing.