A New Approach for Modelling Fluid Flow Through a Yarn Package

A novel approach of modelling of flow in yarn package has been presented which illustrates a comprehensive analysis of flow properties in package dyeing process by coupling the Navier- Stokes equations with Brinkman equations. Navier-Stokes equations are also combined with Darcy’s law to be used as reference. The model allows the user to specify inflow rate, liquor pressures, package geometry (inner radius, outer radius, and height), package permeability, fluid viscosity, and temperature. The results of simulation present the velocity and pressure distribution of the flow through the package (both in the tube and the yarn assembly). The influence of shear stress on flow within the package is also discussed.