Permeability modeling for porous transducer of liquid-circular angular accelerometer

•Kozeny-Carman model is improved to get the permeability of the porous transducer in a new angular accelerometer.•The ratio of the equivalent diameter to the tortuosity is used to reduce the error of permeability model.•The Shape of fluid channel and the particle size distribution are the key factor...

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Bibliographic Details
Published in:Sensors and actuators. A. Physical. 2017-04, Vol.257, p.145-153
Main Authors: Fu, Mengyin, Cheng, Siyuan, Wang, Meiling, Ming, Li, Wang, Tonglei
Format: Article
Language:English
Subjects:
Accelerometers
Angular accelerometer
Equivalence
Glass microspheres
Mathematical models
Microspheres
Modelling
Particle size
Particle size distribution
Permeability
Porosity
Porous transducer
Shape factor
Sintering (powder metallurgy)
Skewness
Streaming potential
Tortuosity
Transducers
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Summary:•Kozeny-Carman model is improved to get the permeability of the porous transducer in a new angular accelerometer.•The ratio of the equivalent diameter to the tortuosity is used to reduce the error of permeability model.•The Shape of fluid channel and the particle size distribution are the key factors to specify the proposed model.•The proposed model shows better accuracy than traditional permeability model.•Liquid-circular angular accelerometer shows satisfactory performance. This paper is concerned with the permeability modeling for a kind of porous transducer, which is sintered by glass microspheres. This kind of transducer is used to measure the streaming potential in the liquid-circular angular accelerometer. Kozeny-Carman (KC) equation is improved by taking into account the shape of fluid channel, the porosity of porous transducer, and the particle size distribution (PSD) of glass microspheres in the transducer. Under the assumption of star-like fluid channels, the shape factor is analyzed numerically and further evaluated. The notion of equivalent diameter of microspheres is applied to avoid the error of permeability calculation resulting from the usage of the average diameter. By implementing the experiments of transducers with 9 different PSDs, a relationship among the equivalent diameter, the tortuosity, the average diameter, the porosity and the skewness of the PSD is obtained. The comparison results illustrate that the proposed permeability model considerably reduces the large prediction errors of the previous models when dealing with the mixture of different microspheres and the large skewness of PSD.
ISSN:0924-4247
1873-3069
DOI:10.1016/j.sna.2017.02.014