List of Symbols - Transport of Multiple Escherichia Coli Transport in Saturated Porous Media - page 118

List of Symbols

Π Absolute fluid viscosity (ML -1 T -1 )
Ε

Dielectric permittivity in a vacuum (CV -1 m -1 )

Acceleration due to gravity (Lt -2 ) g

Attachment rate coefficient (t -1 )

k

Boltzmann's constant (JK -1 )

k

Cell suspension or concentration (# cells L -3 )

C

Ε

Dielectric constant (-)

x

Distance (L)

Electrophoretic mobility (L 2 V -1 t -1 )

Μ

Equilibrium sorption coefficient (L 3 M -1 )

k

First order rate constant (t -1 )

Ω

Fluid approach velocity (Lt -1 )

U

f Fraction of exchange sites assumed to be in equilibrium with solution phase (-)

S

Mass adsorbed at equilibrium sites (# cells)

S

Mass adsorbed at kinetically controlled sites (# cells)

d

Median of the grain size weight distribution (L)

Ψ

Outer Surface Potential (V)

Pore water flow velocity (Lt -1 )

v

Segment sticking efficiency (-)

Α

Η

Single collector contact efficiency (-)

Η Single collector removal efficiency (-)

Α Sticking or attachment efficiency (-)

Η

The fluid dynamic viscosity (Pa s)

t

Time (s).

Θ

Total porosity of the sand (-)

Total retained bacteria concentration (#cellsM -1 )

S

x

Transport distance (L)

L

Travel distance or length of column (L)

Volumetric flow rate (L 3 t -1 )

q

N

Aspect ratio or interception number (-)

N

Attraction number (-)

strai Α

Average sticking efficiency over total transport distances (-)

bul Ρ Bulk density (ML -3 )

fi Ρ

Fixed charge density (mol)

Fluid density (ML -3 )

Ρ

N

Gravitation number (-)

Hamaker constant between collector and colloid (J)

H

A

Happel's cell model constant (-)

Mean Collector grain diameter (L)

d