Fluid mechanics Foundations and kinematics of flow Concept
Dimensionless numbers in fluid mechanics
Summary
A dimensionless number in fluid mechanics is a product of powers of the physical quantities of a flow whose units cancel. Each such number usually compares two effects, such as inertia and viscosity in the Reynolds number. Two flows with the same values of the relevant dimensionless numbers behave alike. This is the basis of model testing in wind tunnels and water tanks.
Where this leads
22 pages build on this one.
- Strouhal number
- Nusselt number
- Buckingham π theorem
- Biot number
- Mach number
- Grashof number
- Stanton number
- Weissenberg number
- Rossby number
- Monin–Obukhov similarity theory
- Rayleigh number
- Fourier number
- Prandtl number
- Elsasser number
- Stefan number
- Froude number
- Dynamic similarity
- Hartmann number
- Richardson number
- Weber number
- Reynolds number
- Péclet number
Further reading
About this page
| Tag | T3R5FWV91P |
|---|---|
| URI | m2://T3R5FWV91P |
| Kind | concept |
| Writing | W0 stub |
| MSC | 76M55, 00A71 |
| Same as | |
| Changed | 3 November 2026 |
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What links here
Used by
- Strouhal number
- Nusselt number
- Buckingham π theorem
- Biot number
- Mach number
- Grashof number
- Stanton number
- Weissenberg number
- Rossby number
- Rayleigh number
- Fourier number
- Prandtl number
- Elsasser number
- Stefan number
- Froude number
- Dynamic similarity
- Hartmann number
- Richardson number
- Weber number
- Reynolds number
- Péclet number
Results about this
Special cases
- Richardson number
- Stanton number
- Péclet number
- Strouhal number
- Prandtl number
- Rayleigh number
- Stefan number
- Mach number
- Fourier number
- Reynolds number
- Elsasser number
- Froude number
- Rossby number
- Nusselt number
- Grashof number
- Weissenberg number
- Weber number
- Hartmann number
- Biot number