Water treatment terms (exam 2)

What is this equation for and define the terms

Percent removal for type I sedimentation

P=Percent of particles removed

Vs=settling velocity

Vo=overflow velocity/rate

What is this equation for and define the terms

Overflow velocity/rate for sedimentation

Vo=overflow velocity/rate

h=height

td=detention time

Q=flow rate

V=volume of basin

I=length of basin

w=width

As=surface area of basin

What is this equation for and define the terms

Removal percentage for Type II sedimentation settling column

Rₜ₀ = Total percent solids removal at settling time t0t_0t0​

Rₐ, Rb, Rc, ... = Removal percentages at different depths

H₁, H₂, ... = Heights between isoconcentration lines (m)

H = Total column height (m)

What is this equation for and define the terms

Head loss through filter media (granular media filtration)

hL=head loss through filter

va=approach velocity

D=depth of filter bed

phi=shape factor of particles

g=acceleration due to gravity

epsilon=porosity

CD=Coefficient of drag

f=volume fraction of each  media layer

dg=geometric mean diameter of particles

What is this equation for and define the terms

Resistance for granular media filtration

R = Resistance to flow through media (dimensionless or in m⁻¹)

φ (phi) = Shape factor

d = Particle diameter (m)

va = Approach velocity (m/s)

ν (nu) = Kinematic viscosity of water (m²/s

What is this equation for and define the terms

Effective particle diameter (granualar media filtration)

What is this equation for and define the terms

porosity correction (granular media filtration)

εₑ = Expanded bed porosity

vb = Backwash velocity (m/s)

vs = Settling velocity (m/s)

R = Dimensionless Reynolds-like parameter (empirical exponent)

What is this equation for and define the terms

Stokes law for settling velocity (type I sedimentation)

vₛ = Particle settling velocity (m/s)

g = Acceleration due to gravity (9.81 m/s²)

ρₚ = Particle density (kg/m³)

ρ_w = Water density (kg/m³)

dₚ = Particle diameter (m)

μ = Dynamic viscosity of water (Pa·s)

What is this equation for and define the terms

Overflow velocity/rate for sedimentation (alt form)

Ac = Cross-sectional area of settling tank (m²)

H = Height of column (m)

ti = Time to reach bottom (s or d)

What is this equation for and define the terms

Geometric mean particle diameter (granular media filtration)

dg = Geometric mean diameter (m)

d₁, d₂ = Lower and upper particle diameters in the size range (m)

Which color of equations is for Granular Media Filtration

Blue

Which color of equations is for Type II sedimentation

Red

Which color of equations is for Type I Sedimentation

Yellow

Given this flow balance equation for ion exchange, what is the mass balance equation