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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

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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Using primary dimensions, verify that the Rayleigh number  is indeed dimensionless. What other established nondimensional parameter is formed by the ratio of Ra and Gr?

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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