Partially extending convection

To describe the polymer stress in this equation, one can probe any of rheological constitutive models proposed for the long-chain branched polymers the partially extending convection (PEC) model of R. Larson, [117], the molecular stress function (MSP) theory of M. Wagner et al. [118,119], the modified extended pom-pom (mXPP) model of M.H. Verbeeten et al. [120], etc. Here, the PEC model has been chosen as it can be easily tuned to describe the overshoot position for a wide class of polymers by changing a value of the non-linear parameter Thus, = 1 in the case of linear polymer (Doi-Edwards limit), 0 < < 1 in the case of branched polymers, and = 0 in the... 

Larson, R. G. A constitutive equation for polymer melts based on partially extending strand convection./. Rheol. (1984) 28, pp. 545-571... 

In a reactive flow system, the chemical timescales should not be treated in isolation from the relevant timescales of the flow processes which may include diffusion, convection/advection or turbulent mixing (Goussis et al. 2005b). The simple initial value problem expressed in Eq. (2.9) must therefore be extended to a system of partial differential equations. Using the notation of Bykov and Maas (2007), the evolution equation for the scalar field of a reacting flow can be described by... 

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