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Analytical and experimental characterization of a miniature calorimetric sensor in a pulsatile flow

Published online by Cambridge University Press:  10 November 2010

H. GELDERBLOM ,
A. VAN DER HORST ,
J. R. HAARTSEN ,
M. C. M. RUTTEN ,
A. A. F. VAN DE VEN  and
F. N. VAN DE VOSSE
H. GELDERBLOM*
Affiliation:
Department of Biomedical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
A. VAN DER HORST
Affiliation:
Department of Biomedical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
J. R. HAARTSEN
Affiliation:
Philips Research Laboratories, High Tech Campus 4, 5656 AE Eindhoven, The Netherlands
M. C. M. RUTTEN
Affiliation:
Department of Biomedical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
A. A. F. VAN DE VEN
Affiliation:
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
F. N. VAN DE VOSSE
Affiliation:
Department of Biomedical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
*
†Present address: Physics of Fluids, Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands. Email address for correspondence: [email protected]
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Abstract

The behaviour of a miniature calorimetric sensor, which is under consideration for catheter-based coronary-artery-flow assessment, is investigated in both steady and pulsatile tube flows. The sensor is composed of a heating element operated at constant power and two thermopiles that measure flow-induced temperature differences over the sensor surface. An analytical sensor model is developed, which includes axial heat conduction in the fluid and a simple representation of the solid wall, assuming a quasi-steady sensor response to the pulsatile flow. To reduce the mathematical problem, described by a two-dimensional advection–diffusion equation, a spectral method is applied. A Fourier transform is then used to solve the resulting set of ordinary differential equations and an analytical expression for the fluid temperature is found. To validate the analytical model, experiments with the sensor mounted in a tube have been performed in steady and pulsatile water flows with various amplitudes and Strouhal numbers. Experimental results are generally in good agreement with theory and show a quasi-steady sensor response in the coronary-flow regime. The model can therefore be used to optimize the sensor design for coronary-flow assessment.

JFM classification

Biological Fluid Dynamics: Biomedical flows Biological Fluid Dynamics: Blood flow Boundary Layers: Boundary Layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 666 , 10 January 2011 , pp. 428 - 444
Copyright
Copyright © Cambridge University Press 2010

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