An electromagnetic flowmeter system that has an accuracy of 0.1% and is insensitive to fluid conductivity was used to study the sensitivity to steady flow of a 6-mm cannular transducer. All measurements were carried out at 37°C. Sensitivity decreased with increasing hematocrit value whether flow was laminar or otherwise. With laminar flow and a given hematocrit value, the sensitivity also decreased with increasing flow rate. Sensitivity started to rise when increasing flow rate caused departure from the laminar regime. At the lowest flow used in the laminar regime (250 ml/min), the sensitivity fell 4% when the hematocrit value was changed from 0 to 66%; at 39.5% the reduction in sensitivity was 2%. With laminar flow at hematocrit 39.5% the sensitivity fell 1% as flow increased from 250 to 1500 ml/min. At hematocrit 29.5% the sensitivity rose 1.2% when the flow regime changed from laminar to turbulent. The changes may be explained in terms of a radial distribution of cells, of which a cell-free boundary layer is a particular example. Theoretical calculations show that the thickness of an apparent cell-free boundary layer must be tens of microns to explain the observations with laminar flow and that the apparent thickness is greatly reduced with onset of turbulence. A possible mechanism is described by which the results could be explained in terms of cell orientation. • Observations made in this laboratory (unpublished) and elsewhere (see Discussion) indicate that the cell content of blood may have a small but definite effect upon the sensitivity of electromagnetic flowmeters. We set out to establish the magnitude of the effect under controlled conditions, and if possible to explain it. We were aware that possible effects due to hematocrit in a correctly designed flowmeter system could be explained by an axisymmetric radial variation of electrical conductivity in the blood, such as might be caused by a peripheral cell-poor or cell-free zone some tens of //. thick. It also seemed possible that any effect would depend upon the flow regime (laminar or turbulent). We therefore included in our measurements the electrical conductivities of the fluids under From the Nuffield Institute for Medical Research, University of Oxford, Oxford, England.
ADDITIONAL KEY WORDSReceived December 2, 1968. Accepted for publication April 1, 1969. examination and the pressure difference along the tube through which they flowed.
Methods
THE TRANSDUCERAn x-ray photograph of a flowmeter of the cannular type used is shown in Figure 1. The tube was made of epoxy with a central region 6 mm in diameter and 11 mm long, which tapered over a further distance of 10 mm at each end to a 7.5-mm diameter. The field strength at the center of the cannula was 136 gauss rms and the nominal interelectrode voltage was 11.6 /xv rms with a flow of 250 ml/min. The magnet was excited at 0.3 amp rms ± 1%, at which value the peak flux density in the iron circuit was 35% less than the saturation value. The power dissipation was 0.25 w. At the side walls, the...