Complex fluids by Pierre Saramito

Author:Pierre Saramito
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Fig. 4.2(left) A polymeric chain and its representation as a dumbbell spring; (right) J.C. Maxwell, engraving by G.J. Stodart from a photograph by Fergus of Greenock

where is the elastic modulus of the spring. At the macroscopic scale, this suspension is described in the continuum mechanics framework by an elastic stress tensor that satisfies the following differential equation:

where is the elastic modulus of the material at the macroscopic scale and is a viscosity coefficient that expresses the macroscopic effects of microscopic scale friction between the long polymer molecules and the small solvent molecules . Here, denotes the Lagrangian derivative of the elastic stress tensor:

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