Nomenclature

C

Matrix of measured capacitances

Noise contaminated capacitances

?t

Time interval

S-1

Inverse of the sensitivity matrix

CE

Measured capacitances for empty sensor

Lmax

Local region of confidence

Cij

Measure capacitances between the ith electrode and jth electrode

Qij

Generated charge

CF

Measured capacitances in the case of a full sensor

CN

Normalised capacitances

S T

Transpose of the sensitivity matrix

?(x, y)

Permittivity distribution

?(x, y)

Electrical potential distributions

?(x, y)

Conductivity distribution in the sensing of a field

xn(iT)

Instantaneous distribution of material for nth pixel of ith image obtained from the cross-section X

?

Electrode surface

Uij

Voltage between the source electrode i and the detector electrode j

??

Angular displacement

?

Angle of rotation applied to the image

X(iT), Y(iT)

Series of images from the X, Y planes, respectively

Vangular

Average angular velocity

Vaxial

Average axial velocity

Vr

Radial velocity component

Vz

Axial velocity component

?

Lag (delay) time

d

The distance between two planes

Rx[n,m] y[n,m](kT)

Correlation function

x[n,m](iT), y[n,m](iT)

Material distribution changes in pixel [n,m] of images from the X, Y planes, respectively

X, Y

Planes of electrode

mn

Average mass flow rate into nth pixel

?

Material density

? 2

Standard deviation

S( j?)

Spectral density of signal