On non-Newtonian incompressible fluids with phase transitions

Incompressible laminar flow - newtonian and non-newtonian fluids

The problems of incompressible flows dominate a large part of the fluid mechanics scene. For this reason, they are given special attention in this book and we devote two chapters to this subject. In the present chapter we deal with various steadystate and transient situations in which the flow is forced by appropriate pressure gradients and boundary forces. In the next chapter we shall consider...

Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids

We study the shape differentiability of a cost function for the steady flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.

On preconditioning incompressible non-Newtonian flow problems

This paper concerns preconditioned iterative solution methods for solving incompressible non-Newtonian Navier-Stokes equations as arising in regularized Bingham models. Stable finite element discretization applied to the linearized equations results in linear systems of saddle point form. In order to circumvent the difficulties of efficiently and cheaply preconditioning the Schur complement of ...

Non-newtonian Fluids

Incompressible Non-Newtonian Fluid Flows

A non-Newtonian fluid is a fluid whose flow properties differ in many ways from those of Newtonian fluids. Most commonly the viscosity of non-Newtonian fluids is not independent of shear rate or shear rate history. In practice, many fluid materials exhibits non-Newtonian fluid behavior such as: salt solutions, molten, ketchup, custard, toothpaste, starch suspensions, paint, blood, and shampoo e...