Some common established nondimenional parameters or 's encountered in fluid mechanics and heal transter Name Delinilion Ratio of Significance Gravitalional force Archimedes number Ar = - VIsCous force Length Length or Diamcter Aspect ratio AR - Width hl. Internal themmal otance Biot mumber Suriane thermal resistance ely- Bo - Gravilational force Bond mamber Surface lension force P- Ca (sometimes a)- Pressure - Vapor pressure Cavitation mumber Inertial pesune 20 - P) sometimes Wall friction force Darcy fridtion factor Inertial force Dag force Dynamic fore Drag coefficient Kinetic enerEy Enthalpy Eckert mumber Ee = AP sometimes Presaine dilference Dynamie pressare AP Euler mmber Wall friction force Inetial force Fanning friction factor G= Physical time Fourier mamber Fo (sometimes e)= Thermal diffusion lime Inertial force Froude mamber sometimes Gravitalional force Buoyancy force Viscos force Sensible enetgy PLATIL Grashof mamber Gr Jakob mamber Ja- Latent energy Mean free path length Characteristic length Kmadsen mumber Kn Thermal diflusion Lewis number le Species diffusion Lin force Lit coefficient Dyramic force Name Delinilion Ratie of Significance Row spend Mach numher Ma (sometimes M Spoed of send Convection heal transfer Nussell mumber Nu = Condacion heat transfer aLVe, Pe LV Buk heat transfer Peclet mumber Condaction hest trafer Power Puwr mumber Rotutional inentia Vicos difhusion Prandi mumber Pr- Thermal diflusion Static presure diflermce Dynamic prese Pressure coefficient Rayleigh number BIATPe, Ra Buoyancy fore Viscos fonce Inertial force Visous force VL VI. Reynokds mumber Re Buoyancy force Inertial force Richandson mmber Ri Viscous dittusion Species diflusion Schmidt number Overall mas dfaion Species dilfusion VI. Sherwood mamber Enthalpy Iternal energy Specilic heat ralio k (sometimes y) Convection he trander Stanton number Thermal capacity Paticie niation fime Stokes number Sk (ometimes S0 Thut. Churacieristic fow time Characteristic flow ime Period of ocilation Strhal mmber S (omdimes S or So = Inertial force Weber mmber We = Surtace tension farce

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Using primary dimensions, verify that the Archimedes number is indeed dimensionless.

Some common established nondimenional parameters or 's encountered
in fluid mechanics and heal transter
Name
Delinilion
Ratio of Significance
Gravitalional force
Archimedes number
Ar = -
VIsCous force
Length
Length
or
Diamcter
Aspect ratio
AR -
Width
hl.
Internal themmal otance
Biot mumber
Suriane thermal resistance
ely-
Bo -
Gravilational force
Bond mamber
Surface lension force
P-
Ca (sometimes a)-
Pressure - Vapor pressure
Cavitation mumber
Inertial pesune
20 - P)
sometimes
Wall friction force
Darcy fridtion factor
Inertial force
Dag force
Dynamic fore
Drag coefficient
Kinetic enerEy
Enthalpy
Eckert mumber
Ee =
AP
sometimes
Presaine dilference
Dynamie pressare
AP
Euler mmber
Wall friction force
Inetial force
Fanning friction factor
G=
Physical time
Fourier mamber
Fo (sometimes e)=
Thermal diffusion lime
Inertial force
Froude mamber
sometimes
Gravitalional force
Buoyancy force
Viscos force
Sensible enetgy
PLATIL
Grashof mamber
Gr
Jakob mamber
Ja-
Latent energy
Mean free path length
Characteristic length
Kmadsen mumber
Kn
Thermal diflusion
Lewis number
le
Species diffusion
Lin force
Lit coefficient
Dyramic force
Transcribed Image Text:Some common established nondimenional parameters or 's encountered in fluid mechanics and heal transter Name Delinilion Ratio of Significance Gravitalional force Archimedes number Ar = - VIsCous force Length Length or Diamcter Aspect ratio AR - Width hl. Internal themmal otance Biot mumber Suriane thermal resistance ely- Bo - Gravilational force Bond mamber Surface lension force P- Ca (sometimes a)- Pressure - Vapor pressure Cavitation mumber Inertial pesune 20 - P) sometimes Wall friction force Darcy fridtion factor Inertial force Dag force Dynamic fore Drag coefficient Kinetic enerEy Enthalpy Eckert mumber Ee = AP sometimes Presaine dilference Dynamie pressare AP Euler mmber Wall friction force Inetial force Fanning friction factor G= Physical time Fourier mamber Fo (sometimes e)= Thermal diffusion lime Inertial force Froude mamber sometimes Gravitalional force Buoyancy force Viscos force Sensible enetgy PLATIL Grashof mamber Gr Jakob mamber Ja- Latent energy Mean free path length Characteristic length Kmadsen mumber Kn Thermal diflusion Lewis number le Species diffusion Lin force Lit coefficient Dyramic force
Name
Delinilion
Ratie of Significance
Row spend
Mach numher
Ma (sometimes M
Spoed of send
Convection heal transfer
Nussell mumber
Nu =
Condacion heat transfer
aLVe,
Pe
LV
Buk heat transfer
Peclet mumber
Condaction hest trafer
Power
Puwr mumber
Rotutional inentia
Vicos difhusion
Prandi mumber
Pr-
Thermal diflusion
Static presure diflermce
Dynamic prese
Pressure coefficient
Rayleigh number
BIATPe,
Ra
Buoyancy fore
Viscos fonce
Inertial force
Visous force
VL VI.
Reynokds mumber
Re
Buoyancy force
Inertial force
Richandson mmber
Ri
Viscous dittusion
Species diflusion
Schmidt number
Overall mas dfaion
Species dilfusion
VI.
Sherwood mamber
Enthalpy
Iternal energy
Specilic heat ralio
k (sometimes y)
Convection he trander
Stanton number
Thermal capacity
Paticie niation fime
Stokes number
Sk (ometimes S0
Thut.
Churacieristic fow time
Characteristic flow ime
Period of ocilation
Strhal mmber
S (omdimes S or So =
Inertial force
Weber mmber
We =
Surtace tension farce
Transcribed Image Text:Name Delinilion Ratie of Significance Row spend Mach numher Ma (sometimes M Spoed of send Convection heal transfer Nussell mumber Nu = Condacion heat transfer aLVe, Pe LV Buk heat transfer Peclet mumber Condaction hest trafer Power Puwr mumber Rotutional inentia Vicos difhusion Prandi mumber Pr- Thermal diflusion Static presure diflermce Dynamic prese Pressure coefficient Rayleigh number BIATPe, Ra Buoyancy fore Viscos fonce Inertial force Visous force VL VI. Reynokds mumber Re Buoyancy force Inertial force Richandson mmber Ri Viscous dittusion Species diflusion Schmidt number Overall mas dfaion Species dilfusion VI. Sherwood mamber Enthalpy Iternal energy Specilic heat ralio k (sometimes y) Convection he trander Stanton number Thermal capacity Paticie niation fime Stokes number Sk (ometimes S0 Thut. Churacieristic fow time Characteristic flow ime Period of ocilation Strhal mmber S (omdimes S or So = Inertial force Weber mmber We = Surtace tension farce
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