FINITE ELEMENT MODELLING OF POLYMERIC FLOW PROCESSES

Finite Element Modelling of Polymeric Flow Processes [Pg.71]

Weighted residual finite element methods described in Chapter 2 provide effective solution schemes for incompressible flow problems. The main characteristics of these schemes and their application to polymer flow models are described in the present chapter. [Pg.71]

As already discussed, in general, polymer flow models consist of the equations of continuity, motion, constitutive and energy. The constitutive equation in generalized Newtonian models is incorporated into the equation of motion and only in the modelling of viscoelastic flows is a separate scheme for its solution reqixired. [Pg.71]

Equations of continuity and motion in a flow model are intrinsically connected and their solution should be described simultaneously. Solution of the energy and viscoelastic constitutive equations can be considered independently. [Pg.71]

FINITE ELEMENT MODELLING OF POLYMERIC FLOW PROCESSES 3.1.1 The U-V-P scheme... [Pg.72]

FINITE ELEMENT MODELLING OF POLYMERIC FLOW PROCESSES... [Pg.78]

The majority of polymer flow processes involve significant heat dissipation and should be regarded as nou-isothermal regimes. Therefore in the finite element modelling of polymeric flow, in conjunction with the equations of continuity... [Pg.128]

The majority of polymer flow processes are characterized as low Reynolds number Stokes (i.e. creeping) flow regimes. Therefore in the formulation of finite element models for polymeric flow systems the inertia terms in the equation of motion are usually neglected. In addition, highly viscous polymer flow systems are, in general, dominated by stress and pressure variations and in comparison the body forces acting upon them are small and can be safely ignored. [Pg.111]

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