Constitutive equation for compressible non-isothermal polymeric fluids: A microstructural approach

This contribution presents a microstructural approach to relax both the incompressibility and the isothermality constraints in the elastic-dumbbell model. This results in a compressible version for the Smoluchowski equation which is used to derive a non-isothermal compressible evolution equation for the conformation tensor for a general spring force. The devised general equation is used to derive constitutive equations depending on spring force model whether linear or non-linear. A moving-grid numerical scheme is developed to test the ability of the proposed model in capturing experimental observations of previously published work. © 2018