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NOTATION

Shear stress
 0Yield shear stress as defined by Bingham equation
'0 Yield shear stress as defined by Herschel-Bulkley equation
µ Plastic viscosity as defined by Bingham equation
µ' Plastic viscosity as calculated from the Herschel-Bulkley parameters
Shear strain rate
a, bParameters of the Herschel-Bulkley equation (theoretical)
Torque measured in the rheometer
 0 Torque corresponding to a zero-value of the angular velocity
NAngular velocity
A, BParameters that depend on the rheometer geometry and the concrete (Herschel-Bulkley equation)
R2 , R1Radii of the rheometer
1i Solid volume fraction of a constituent
*,1 *,i* Packing density of a dry mixture (maximum value of for close packing)
f, gUndefined functions
γ Virtual packing density
yiProportion by volume of size i, i.e., ratio of volume of size class i to the total solid volume
ninumber of size class i
aij , bijInteraction functions describing binary relaxation and wall effect, respectively
i Virtual packing density of size class i compacted alone
di , djDiameter of granular size classes i and j
KCompaction index
KiCompaction index for each size class i
KiCompaction index for each size class i for de-aired concrete
Ks , Ka , Kc , Ksf Compaction indices for sand, aggregates, cement and silica fume respectively
cMaximum volume concentration of cement in a paste
SP%Dosage of HRWRA (percent by mass of cement)
Density
gAcceleration of gravity
hHeight of slump cone
sSlump measurement using the slump cone
TSlump time

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