Rhéologie des suspensions de bulles dans un fluide à seuil
Résumé
The behavior of a monodisperse suspension of bubble dispersed in a yield stress fluid is studied in the low strain rates regime. In the elastic regime the overall elastic modulus of the suspension depends upon the bubble deformability quantified by a capillary number defined as the ratio of the elastic modulus of the fluid to the bubble capillary pressure. For a given value of the bubble volume fraction the elastic modulus of the suspension is a decreasing function of the bubble size. In the plastic regime, the suspension yield stress is equal to that of the suspending fluid whatever the bubble size. These results are explained in the framework of an upscaling approach. Estimates for the suspension linear properties are given.
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