Transport II Dimensionless Groups (copy)

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Chemical Engineering

Last updated 2:08 AM on 5/10/23
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40 Terms

1
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Debye Decay Length Definition
Length over which potential decays away
2
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(((epsilon)(epsilon0)(kb)(T))/(2(e^2)(z^2)(nb)))^(1/2)
(((epsilon)(epsilon0)(kb)(T))/(2(e^2)(z^2)(nb)))^(1/2)
Debye Decay Length
3
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(alpha)/(Dab)
(alpha)/(Dab)
Lewis Number
4
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Lewis Number Definition
Ratio of thermal diffusion rate to mass diffusion rate
5
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Hatta Number Definition
Film depth/diffusion length
6
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Second Damkohler Number Definition
ratio of reaction rate to diffusion rate (important for rate limited runs)
7
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(k)(delta)/Dab
(k)(delta)/Dab
Second Damkohler Number
8
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term image
Theile Effectiveness Factor
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((k1)a(R^2)/(Da))^(1/2)
Thiele Modulus
10
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L/((Dab)/(k))^(1/2)
L/((Dab)/(k))^(1/2)
Hatta Number
11
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Sherwood Number Definition
overall mass transfer/diffusive mass transfer
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(Km)d/(Dab)
(Km)d/(Dab)
Sherwood Number
13
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h(ext)L/k(int)
h(ext)L/k(int)
Biot Number
14
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F(drag)/((1/2)(rho)(U^2)(A))
F(drag)/((1/2)(rho)(U^2)(A))
Drag Coefficient
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(U^2)/(Lg)
(U^2)/(Lg)
Froude Number (Fr)
16
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Definition of Biot Number
external heat transfer/internal heat transfer
17
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Definition of Drag Coefficient
Drag/inertial forces
18
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Froude Number Definition
inertial forces/gravitational forces
19
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(g)(beta)(delta T)H/(nu^2)
(g)(beta)(delta T)H/(nu^2)
Grashof Number (Gr)
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Grashof Number Definition
buoyancy due to thermal expansion/viscous dissipation
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hL/k
hL/k
Nusselt Number (Nu)
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Nusselt Number Definition
total heat transfer/conductive heat transfer
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LU/(aplha)=(Re)(Pr)
LU/(aplha)=(Re)(Pr)
Peclet Number (Pe)
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Peclet Number Definition
convection/diffusion
25
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(nu)/(alpha)
(nu)/(alpha)
Prandtl Number (Pr)
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Definition of Prandtl Number
momentum diffusivity/thermal diffusivity
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g(beta)(deltaT)H^3/(alpha) = (Gr)(Pr)
g(beta)(deltaT)H^3/(alpha) = (Gr)(Pr)
Rayleigh Number (Ra)
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Definition of Rayleigh Number
buoyancy due to thermal expansion/dissipation
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UD/(nu)
UD/(nu)
Reynolds Number (Re)
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Definition of Reynolds Number
inertial forces/viscous forces
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((omega)(alpha^2)/(nu))^1/2 = (alpha)/((nu)/(omega))^1/2
((omega)(alpha^2)/(nu))^1/2 = (alpha)/((nu)/(omega))^1/2
Womersley Number (alpha)
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Womersley number Definition
penetration depth/tube length
33
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h/((rho)(Cp)(U))=Nu/(RePr)
h/((rho)(Cp)(U))=Nu/(RePr)
Stanton Number
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Stanton Number Definition
heat transfer/convective heat transfer
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(Tauw)/((1/2)(rho)(U^2)
(Tauw)/((1/2)(rho)(U^2)
fanning friction factor
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definition of fanning friction factor
wall shear stress/dynamic pressure
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StPr^(2/3)= ff/2
StPr^(2/3)= ff/2
Colburn Analogy
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h=\~ p\*Uinf**Cp*(ff/2)*Pr^(-2/3)*
Colburn Analogy
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(nu)/D
(nu)/D
Schmidt Number (Sc)
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Definition of Schmidt Number
momentum diffusivity/mass diffusion