Some mathematical and numerical methods for determination of behaviour law of blood

Issue title: New Methods in Biorheology. Proceedings of the International Symposium held in Nancy, France, 17–18 August 1983. A Satellite Symposium of the Fifth International Congress of Biorheology

Guest editors: J.F. Stoltz and E. Puchelle

Article type: Research Article

Authors: Maurice, G.^a | Lucius, M.^a | Stoltz, J.F.^b

Affiliations: [a] Institut National Polytechnique de Lorraine, Nancy | [b] Centre Régional de Transfusion Sanguine, Nancy-Vandoeuvre

Abstract: The determination of a constitutive law of a fluid, the red blood can be obtained by fitting the parameters of a theorical law with experimental results. For an experience, several expressions can be agreed, each of them explain a particular property. The aim of my purpose is to describe some mathematical ans numerical methods, in relation with two experiences, able to give the value of an unknown quantity by computation and to fit it with measured quantity. The first method use finite element to modelize a couette nonlinear flow. It can be approach by a very simple model using only the computation of a nonlinear differential equation. The second use the perturbation method and the expansion in power serie.

Keywords: Blood, Viscosimeter

DOI: 10.3233/BIR-1984-23S118

Journal: Biorheology, vol. 23, no. s1, pp. 107-110, 1984