Advanced Boundary Element Methods pp 435-442 | Cite as

# Integral Equation Method for Analysis of Newtonian and Non-Newtonian Flows

Conference paper

## Summary

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.

## Keywords

Integral Equation Boundary Element Method Newtonian Fluid Integral Equation Method Velocity Vector Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Preview

Unable to display preview. Download preview PDF.

## References

- 1.Crochet, M.J., Davies, A.R. and Walters, K. “Numerical Simulation of Non-Newtonian Flow”, Elsevier, 1982.Google Scholar
- 2.Tosaka, N. Numerical Methods for Viscous Flow Problems Using an Integral Equation, River Sedimentation, (Eds. Wang, S.Y., Shen, H.W. and Ding, L.W. ), The University of Mississippi, 1986, pp. 1514–1525.Google Scholar
- 3.Tosaka, N. Integral Equation Formulations with the Primitive Variables for Incompressible Viscous Fluid Flow Problems, Computational Mechanics (to be appeared).Google Scholar
- 4.Tosaka, N. and Kakuda, K.: Numerical Simulations for Incompressible Viscous Flow Problems Using the Integral Equation Methods, Boundary Elements VIII, Vol. II, (Eds. Tanaka, M. and C.A. Brebbia ), Springer-Verlag, 1986, pp. 813–822.Google Scholar
- 5.Tosaka, N. and Fukushima, N. Numerical Simulations of Laminar Natural Convection Problems by the Integral Equation Method, Proceedings of 5th Int. Symp. on Numerical Methods in Thermal Problems, 1987.Google Scholar
- 6.Bush, M.B., Milthorpe, J.F. and Tanner, R.I.: Finite Element and Boundary Element Methods for Extrusion Computations, J. of Non-Newtonian Fluid Mechanics, 16, 1984, pp. 37–51.zbMATHCrossRefGoogle Scholar
- 7.Bush, M.B., Tanner, R.I. and Phan-Thien, N. A Boundary Element Investigation of Extrudate Swell, J. of Non-Newtonian Fluid Mechanics, 18, 1985, pp. 143–162.zbMATHCrossRefGoogle Scholar

## Copyright information

© Springer-Verlag Berlin Heidelberg 1988