Equations of motion of particulate suspensions with incompressibility constraint

Authors

  • Antônio Santos Silva Universidade Federal de Sergipe
  • Edilson Jesus Santos Universidade Federal de Sergipe
  • Rogério Luz Pagano Universidade Federal de Sergipe
  • Lucas Diego Mota Meneses Universidade Federal de Sergipe
  • Carlos Philipe S Rocha Universidade Federal de Sergipe

Keywords:

particulate suspensions, incompressibility constraint, equations of motion

Abstract

This work, in the context of saturated porous medium with fluid, considers the particulate suspension motion in which the densities of the pure solid and fluid are constants, whose equations of balance are established by the solid-fluid mixtures continuous theory without chemical reactions. Because of the constant densities that characterize the incompressibility constraint, each strain tensor is given by one arbitrary part over another constitutive, as well as the interaction force, interaction energy and the Helmholtz free energy. The arbitrary parts were determined based on entropic inequality, under the principle that the sum of the entropic outputs is zero for all motion compatible with the incompressibility constraint. As a result, it was shown that this principle produces different arbitrary pressures for solid and fluid phases and, moreover, it causes a great influence on the balance equations of linear momentum, since there are new interaction terms. Accordingly, the set of equations obtained generates systems with different ways for the motion of particulate suspensions, each system established on how the terms of arbitrary pressures and arbitrary interactions are grouped and interpreted. 

Author Biographies

Antônio Santos Silva, Universidade Federal de Sergipe

Departamento de Matemática

Edilson Jesus Santos, Universidade Federal de Sergipe

Departamento de Engenharia Química

Rogério Luz Pagano, Universidade Federal de Sergipe

Departamento de Engenharia Química

Lucas Diego Mota Meneses, Universidade Federal de Sergipe

Departamento de Matemática

Carlos Philipe S Rocha, Universidade Federal de Sergipe

Departamento de Engenharia Química

Published

2013-12-07

How to Cite

Silva, A. S., Santos, E. J., Pagano, R. L., Meneses, L. D. M., & S Rocha, C. P. (2013). Equations of motion of particulate suspensions with incompressibility constraint. Scientia Plena, 9(11). Retrieved from https://scientiaplena.org.br/sp/article/view/1503

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