A Method for Matching the Refractive Index and Kinematic Viscosity of a Blood Analog for Flow Visualization in Hydraulic Cardiovascular Models

Author:

Nguyen and T. T.1,Biadillah Y.1,Mongrain R.12,Brunette, and J.3,Tardif J.-C.3,Bertrand O. F.4

Affiliation:

1. Department of Mechanical Engineering, McGill University

2. Montreal Heart Institute*

3. Montreal Heart Institute

4. Quebec Heart and Lung Institute

Abstract

In this work, we propose a simple method to simultaneously match the refractive index and kinematic viscosity of a circulating blood analog in hydraulic models for optical flow measurement techniques (PIV, PMFV, LDA, and LIF). The method is based on the determination of the volumetric proportions and temperature at which two transparent miscible liquids should be mixed to reproduce the targeted fluid characteristics. The temperature dependence models are a linear relation for the refractive index and an Arrhenius relation for the dynamic viscosity of each liquid. Then the dynamic viscosity of the mixture is represented with a Grunberg-Nissan model of type 1. Experimental tests for acrylic and blood viscosity were found to be in very good agreement with the targeted values (measured refractive index of 1.486 and kinematic viscosity of 3.454 milli-m2/s with targeted values of 1.47 and 3.300 milli-m2/s).

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Reference49 articles.

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2. Yoon, J. H., and Lee, S. J., 2001, 3-D Stereoscopic PIV Measurements of Flow around an Axial Fan, Proc. 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, Sept. 17–19, Paper 1045.

3. Dierksheide, U., Meyer, P., Hovestadt, T., and Hentschel, W., 2001, Endoscopic 2D-PIV Flow Field Measurement in IC Engines, 4th International Symposium on Particle Image Velocimetry, Go¨ttingen, Germany, Sept. 17–19, Paper 1060.

4. Gang, C., Jing, L., Lianfeng, X., Jianbin, X., Shanghai, J., and Jianzhong, L., 2001, A Review on PIV with Image Techniques, XXIX IAHR Congress, Beijing, China, September 16–21, p. 946.

5. Lowe, M. I., and Kutt, P. H., 1992, Refraction through cylindrical tubes, Exp. Fluids, 10, pp. 50–54.

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