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1. Freefall in Uniform Gravitational Field with Air Resistance (velocity)
utFalling velocity (m/s)
uinfTerminal speed (m/s)
gStandard gravity
tTime of falling (s)
Variables...
  valueunitslink
ut
uinf
t
2. Freefall in Uniform Gravitational Field with Air Resistance (altitude)
yvertical position(altitude) (m)
y0initial vertical position(altitude) (m)
uinfterminal speed (m/s)
gStandard gravity
ttime (s)
Variables...
  valueunitslink
y
y0
uinf
t
3. Inverse-square law gravitational field ( free-fall time for two point objects on a radial path)
tyThe time after the start of the fall (s)
yThe distance between the centers of the bodies (m)
GNewtonian constant of gravitation
m1The mass of one of the objects (kg)
m2The mass of other object (kg)
y0The initial value of the distance between the centers of the bodies (m)
Variables...
  valueunitslink
ty
y
m1
m2
y0
5. Knudsen number ( related to mean free path)
KnThe Knudsen number (dimensionless)
λThe molecular mean free path length (m)
LThe representative physical length scale (m)
Variables...
  valueunitslink
Kn
λ
L
6. Knudsen number (For a Boltzmann gas)
KnKnudsen number (dimensionless)
kBBoltzmann constant
TThe thermodynamic temperature (K)
πpi
dThe particle hard shell diameter (m)
PThe total pressure, (Pa)
LThe representative physical length scale (m)
Variables...
  valueunitslink
Kn
T
d
P
L
7. Knudsen number (Relationship to Mach and Reynolds numbers in gases)
KnKnudsen number (dimensionless)
MaMach number (dimensionless)
ReReynolds number (dimensionless)
γThe ratio of specific heats (dimensionless)
πpi
Variables...
  valueunitslink
Kn
Ma
Re
γ
8. Knudsen diffusivity for diffusing species
DKAThe Knudsen diffusivity for diffusing species A (m2/s)
dporeThe pore diameter (m)
Rgmolar gas constant
TThe absolute temperature (K)
πpi
MAThe species molecular weigh (kg/mol)
Variables...
  valueunitslink
DKA
dpore
T
MA

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