Meaning
Rheological flow models characterize the non-Newtonian, shear-thinning behavior of molten polymers as they flow through extruder screws, runner systems and narrow mold cavities. Applying power law fluid dynamics provides process engineers with mathematical equations relating viscosity to shear rate during high-speed injection phases. Polymer melts exhibit decreasing apparent viscosity under elevated shear rates, enabling rapid filling of thin-walled part geometries.
Power law index values below unity quantify the magnitude of pseudoplastic shear thinning for specific resin formulations. Mold flow simulation software incorporates these constitutive equations to predict injection pressure drops and runner sizing.
Rheological Equations
Mathematical constitutive relationships express shear stress as a function of shear rate raised to the power law index exponent. Calculations in power law fluid dynamics rely on consistency index parameters and power law exponents derived from capillary rheometry data. High shear rates inside narrow sprue gates dramatically lower melt viscosity, reducing required injection pressure.
Temperature dependence requires shifting consistency index values across processing thermal windows.
Mould Tooling Design
Runner system sizing requires accurate predictions of pressure drops across complex fluid flow channels. Utilizing power law fluid dynamics enables tool designers to optimize gate locations and runner diameters for uniform cavity filling. Non-uniform shear rates across multi-cavity moulds cause flow imbalances, leading to short shots in outer cavities.
Balanced runner geometries compensate for shear thinning variations across complex branch networks.
Viscosity Control
Molten plastic behavior shifts under varying processing speeds and temperatures inside the injection barrel. Modeling power law fluid dynamics aids moulders in distinguishing shear rate viscosity reduction from thermal degradation. Regrind additions alter the consistency index, causing unpredictable filling behavior if injection speeds remain fixed.
Stable melt viscosity control ensures repeatable shot weights and consistent part dimensions.