Integral Equation Method for Analysis of Newtonian and Non-Newtonian Flows
The new integral equation formulation for incompressible viscous fluid flow problems is presented. The integral equation representation of the problems is given in terms of not only the velocity vector and the pressure but also the extra-stress tensor. The integral equation formulation for incompressible viscous fluid flow problems is presented systematically by means of the weighted residual method. The new formulation is applicable to both a Newtonian fluid and a non-Newtonian fluid. As a typical example of non-Newtonian fluids, the simple Maxwell viscoelastic model is dealt with.
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