Dimension Analysis Flashcards

1
Q

Ratio of activation energy to
thermal energy

A

arrhenius number

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2
Q

Ratio of yield stress to viscous
stress

A

bingham number

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3
Q

Ratio of the solid’s internal
thermal resistance to the fluid’s
thermal resistance

A

biot number

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4
Q

Ratio of gravitational and surface
tension forces

A

bond number

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5
Q

Ratio of heat generated by viscous
dissipation to the heat transferred
by conduction

A

brinkman number

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6
Q

Reaction time scale versus
transport phenomena properties.
Definition depends on system. Eq
given is for continuous reactors.

A

Damkohler number

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7
Q

Relates kinetic energy of flow with
enthalpy

A

eckert number

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8
Q

Ratio of pressure force to inertia
force

A

euler number

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9
Q

Ratio of rate by heat conduction to
rate of thermal energy storage.

A

fourier number

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10
Q

Dimensionless pressure drop for
internal flow

A

friction factor

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11
Q

Ratio of inertia force to the gravity
force

A

froude number

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12
Q

Relates viscous flow and thermal
expansion

A

galileo number

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13
Q

Determines the thermal or
concentration development at
entrance lengths of ducts

A

graetz number

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14
Q

Ratio of buoyancy forces to
viscous forces

A

grashof number

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15
Q

Ratio of sensible to latent heat
absorbed during evaporation or
condensatíon

A

jacob number

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16
Q

Ratio of molecular mean free path
to a physical length. Given
cquation is for ideal gas.

A

knudsen number

17
Q

Ratio of thermal and mass
diffusivities

A

lewis number

18
Q

A proportionality constant that
relates the thermal conductivity, k
with electrical conductivity

A

lorentz number

19
Q

Ratio of the speed of fluid flowing
and that of sound measured at the
same conditions

A

mach number

20
Q

Dimensionless temperature
gradient at the surface

A

nusselt number

21
Q

Dimensionless independent heat
transfer parameter

A

peclet number

22
Q

Relates resistance forces to inertia
forces in agitators. Known also as
Newton Number.

A

power number

23
Q

Ratio of momentum and thermal
diffusivities

A

prandtl number

24
Q

Determines free heat convection
effects relative to the effect of fluid
motion

A

Rayleigh number

25
Ratio of inertia and viscous forces
schmidt number
26
Dimensionless concentration gradient at the surface
sherwood number
27
Modified Nusselt Number
stanton number
28
Ratio of inertia to surface tension forces
weber number