Parameter Convention List

Table 30 Relevant Dimensions

Dimension	Abbreviation	Base Unit
Length	$[L]$	meter
Mass	$[M]$	kilogram
Time	$[T]$	second

If you would like to be able to ctrl+f some variables, click on ‘View page source’ on the top right of this window. If you want to know what a Greek variable is but don’t know what it’s called, you can view the source text on the file where you found the variable. nu, mu, eta, who actually remembers what these all look like? The letter ‘v’ should sue ‘nu’ for copyright infringement. Or is it the other way around?

Table 31 Parameter Guide

Parameter	Description	Units
Uppercase letters
$A$	Area	$[L{]}^2$
$A_{floc}$	Projected cross sectional area of particle	$[L{]}^2$
$A_p$	Plan view area	$[L{]}^2$
$B$	Center-to-Center Spacing Between Two Objects	$[L]$
$C$	Concentration	$\frac{[M]}{[L{]}^3}$
$C_D$	Drag coefficient	Dimensionless
$D$	Diameter	$[L]$
$D_{cp}$	Diameter of core particle	$[L]$
$F$	Force	$\frac{[M][L]}{[T{]}^2}$
$G$	Velocity Gradient/Fluid Deformation	$\frac{1}{[T]}$
$\tilde{G}$	Camp Stein velocity gradient	$\frac{1}{[T]}$
$G\theta$	Collision potential	Dimensionless
$H$	Height	$[L]$
$H_c$	Critical height	$[L]$
$H_e$	Distance Between Flow Expansions in a Flocculator	$[L]$
$H_{ff}$	Height of the floc filter	$[L]$
$K$	Minor Loss coefficient	Dimensionless
$L$	Length	$[L]$
$L_{SedActive}$	Length of the plate settlers in the clarifier (not including the triangle at the end of the tank)	$[L]$
$L_{ff}$	Length of the floc filter in a clarifier	$[L]$
$M$	Fluid Momentum	$\frac{[M][L]}{[T{]}^2}$
$P$	Power	$\frac{[M][L{]}^2}{[T{]}^3}$
$Q$	Flow rate	$\frac{[L{]}^3}{[T]}$
$Q_{diff}$	Flow rate through each diffuser	$\frac{[L{]}^3}{[T]}$
$Q_{Clarifier}$	Flow rate through each clarifier	$\frac{[L{]}^3}{[T]}$
$\mathrm{R}\mathrm{e}$	Reynolds Number	Dimensionless
$S$	Spacing Between Two Objects	$[L]$
$T$	Object Thickness	$[L]$
$\mathrm{\forall }$	Volume	$[L{]}^3$
$W$	Width	$[L]$
$W_{dif{f}_{min}}$	Minimum internal width of diffuser	$[L]$
$W_{floc}$	Gravitational weight of floc	$\frac{[M][L]}{[T{]}^2}$
$W_{Clarifier}$	Width of each clarifier	$[L]$
Lowercase letters
$\mathrm{f}$	Darcy-Weisbach friction factor	Dimensionless
$\frac{du}{dy}$	Velocity gradient between plate settlers	$\frac{1}{[T]}$
$g$	Acceleration due to Gravity	$\frac{[L]}{[T{]}^2}$
$h$	Head, Elevation	$[L]$
$h_e$	Minor Loss (expansion)	$[L]$
$h_{\mathrm{f}}$	Major Loss (friction)	$[L]$
$h_L$	Total headloss	$[L]$
$h_{L_{jet}}$	Head loss in jet leaving jet reverser	$[L]$
$m$	Mass	$[M]$
$n$	Number, Amount	Dimensionless
$p$	Pressure	$\frac{[M]}{[L][T{]}^2}$
$r$	Radius	$[L]$
$t$	Time	$[T]$
$u$	Velocity in the x-direction	$\frac{[L]}{[T]}$
$v$	Velocity	$\frac{[L]}{[T]}$
${\overline{v}}_{{\alpha }_{Plate}}$	average fluid velocity between plate settlers	$\frac{[L]}{[T]}$
${\overline{v}}_{z_{Active}}$	Upflow velocity of the water entering the plate settlers; vertical velocity in the ‘active’ region	$\frac{[L]}{[T]}$
${\overline{v}}_c$	Capture velocity	$\frac{[L]}{[T]}$
${\overline{v}}_H$	Horizontal velocity	$\frac{[L]}{[T]}$
${\overline{v}}_{jet}$	Velocity of the jet exiting the diffuser	$\frac{[L]}{[T]}$
${\overline{v}}_{x_{Plate}}$	Horizontal velocity through plate settlers	$\frac{[L]}{[T]}$
$v_{particle}$	Net velocity of a particle between plate settlers	$\frac{[L]}{[T]}$
$v_{z_{Plate}}$	Average vertical velocity of the water between the plate settlers	$\frac{[L]}{[T]}$
$v_{Settle}$	Settling velocity	$\frac{[L]}{[T]}$
$v_{Slide}$	Clarification velocity of floc between plate settlers	$\frac{[L]}{[T]}$
${\overline{v}}_{z_{FB}}$	Average vertical velocity of the water through the floc filter	$\frac{[L]}{[T]}$
$v_t$	Terminal velocity of particle	$\frac{[L]}{[T]}$
$z$	Elevation	$[L]$
Greek lowercase letters
$\alpha$	Angle of plate settler	Degrees
$ϵ$	Surface roughness	$[L]$
$\epsilon$	Energy Dissipation Rate	$\frac{[L{]}^2}{[T{]}^3}$
${\eta }_K$	Kolmogorov Length Scale	$[L]$
${\lambda }_{\nu }$	Inner Viscous Length Scale	$[L]$
$\mu$	Dynamic viscosity	$\frac{[M]}{[T][L]}$
$\nu$	Kinematic viscosity	$\frac{[L{]}^2}{[T]}$
$\varphi$	Porosity	Dimensionless
${\varphi }_{ff}$	Porosity of floc filter	Dimensionless
$\rho$	Density	$\frac{[M]}{[L{]}^3}$
$\theta$	Residence Time	$[T]$
$\tau$	Shear	$\frac{[L]}{[M][T{]}^2}$
Greek uppercase letters
$\mathrm{\Delta }$	Change in	Dimensionless
$\mathrm{\Lambda }$	Distance Between Particles	$[L]$
$\mathrm{\Pi }$	Dimensionless Proportionality Ratio	Dimensionless
${\mathrm{\Pi }}_{Error}$	Linearity Error Ratio	Dimensionless
${\mathrm{\Pi }}_{\overline{\epsilon }}^{{\epsilon }_{max}}$	$\frac{{\epsilon }_{max}}{\overline{\epsilon }}$ Ratio in a Reactor	Dimensionless
${\mathrm{\Pi }}_{\overline{G}}^{G_{max}}$	$\frac{G_{max}}{\overline{G}}$ Ratio in a Reactor	Dimensionless
${\mathrm{\Pi }}_{HS}$	Height to Baffle Spacing in a Flocculator	Dimensionless
${\mathrm{\Pi }}_{K\nu }$	Ratio of Inner Viscous Length Scale to Kolmogorov Length Scale	Dimensionless
${\mathrm{\Pi }}_{vc}$	Vena Contracta Area Ratio	Dimensionless
${\mathrm{\Pi }}_{fractal}$	Fractal Dimension	Dimensionless