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Palierne equation connects the dynamic modulus of emulsions with the dynamic modulus of the two phases, size of the droplets and the interphase surface tension. The equation can also be used for suspensions of viscoelastic solid particles in viscoelastic fluids. The equation is named after French rheologist , who proposed the equation in 1991. For the dilute emulsions Palierne equation looks like: where is the dynamic modulus of the emulsion, is the dynamic modulus of the continuous phase (matrix), is the volume fraction of the disperse phase and the is given as

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  • Le modèle de Palierne est un modèle rhéologique qui s'applique à un mélange de polymères dilué. Il relie le module complexe du mélange aux modules complexes des deux composants du mélange, ainsi qu'à la fraction volumique, au rayon des gouttes de la phase dispersée dans la matrice et à la tension superficielle. Il a été développé par le chercheur français en 1990. (fr)
  • Palierne equation connects the dynamic modulus of emulsions with the dynamic modulus of the two phases, size of the droplets and the interphase surface tension. The equation can also be used for suspensions of viscoelastic solid particles in viscoelastic fluids. The equation is named after French rheologist , who proposed the equation in 1991. For the dilute emulsions Palierne equation looks like: where is the dynamic modulus of the emulsion, is the dynamic modulus of the continuous phase (matrix), is the volume fraction of the disperse phase and the is given as where is the dynamic modulus of the disperse phase, is the surface tension between the phases and is the radius of the droplets. For the suspension of solid particles the value of is given as The Palierne equation is usually extended for the finite volume concentrations of the disperse phase as: (en)
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  • Le modèle de Palierne est un modèle rhéologique qui s'applique à un mélange de polymères dilué. Il relie le module complexe du mélange aux modules complexes des deux composants du mélange, ainsi qu'à la fraction volumique, au rayon des gouttes de la phase dispersée dans la matrice et à la tension superficielle. Il a été développé par le chercheur français en 1990. (fr)
  • Palierne equation connects the dynamic modulus of emulsions with the dynamic modulus of the two phases, size of the droplets and the interphase surface tension. The equation can also be used for suspensions of viscoelastic solid particles in viscoelastic fluids. The equation is named after French rheologist , who proposed the equation in 1991. For the dilute emulsions Palierne equation looks like: where is the dynamic modulus of the emulsion, is the dynamic modulus of the continuous phase (matrix), is the volume fraction of the disperse phase and the is given as (en)
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  • Modèle de Palierne (fr)
  • Palierne equation (en)
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