Open AccessProceedings Article
Numerical simulation of generalized second-grade fluids using a 1D hierarchical model
Fernando Carapau,Adélia Sequeira,João Janela +2 more
- pp 337-342
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In this paper, the authors considered the flow of a non-Newtonian incompressible second-grade fluid in an uniform rectilinear pipe and generalized it by introducing a shear-dependent viscosity function of power law type.Abstract:
We consider the flow of a non-Newtonian incompressible second-grade fluid in an uniform rectilinear pipe and generalize it by introducing a shear-dependent viscosity function of power law type. The full 3D set of equations is reduced to a one-dimensional problem involving only time and one spatial variable. This is done using a director theory for fluid dynamics, also called Cosserat theory. An axisymmetric unsteady relationship between mean pressure gradient and volume flow rate over a finite section of the pipe and the corresponding equation to the wall shear stress are derived from this theory.read more
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Proceedings Article
Perturbed flows of a second-order fluid in a uniform straight tube
TL;DR: In this article, the perturbed flows of a non-Newtonian incompressible second-order fluid in a straight rigid axisymmetric tube with circular cross-section of constant radius were analyzed.
References
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Ronald S. Rivlin,J. L. Ericksen +1 more
TL;DR: In this article, it was shown that the mechanics of a homogeneous isotropic ideally elastic material may be developed on the basis of a description of the relevant elastic properties of the material in terms of a strain energy function W which is a single-valued function of three scalar invariants of the deformation, I 1, I 2 and I 3.
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A. E. Green,N. Laws,P. M. Naghdi +2 more
TL;DR: In this article, the authors discuss non-linear thermodynamic theories of rods and shells using the three-dimensional theory of classical continuum mechanics as a starting point, and propose a method of approximation which brings the respective theories into correspondence with those of Green and Laws.
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