Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport...
29 KB (816 words) - 10:33, 15 June 2025
Reynolds number (redirect from Reynold numbers)
In fluid dynamics, the Reynolds number (Re) is a dimensionless quantity that helps predict fluid flow patterns in different situations by measuring the...
51 KB (6,446 words) - 13:17, 13 July 2025
on dimensionless numbers like the Reynolds number in fluid dynamics, the fine-structure constant in quantum mechanics, and the Lorentz factor in relativity...
22 KB (2,255 words) - 16:42, 10 July 2025
Darcy–Weisbach equation (category Dimensionless numbers of fluid mechanics)
dimensional analysis, resulting in a dimensionless friction factor f. The complexity of f, dependent on the mechanics of the boundary layer and the flow...
40 KB (5,127 words) - 15:45, 15 July 2025
Dimensional analysis (section Fluid mechanics)
supplements the dimensional analysis. Buckingham π theorem Dimensionless numbers in fluid mechanics Fermi estimate – used to teach dimensional analysis Numerical-value...
96 KB (11,981 words) - 14:50, 3 July 2025
The Damköhler numbers (Da) are dimensionless numbers used in chemical engineering to relate the chemical reaction timescale (reaction rate) to the transport...
7 KB (1,058 words) - 18:12, 25 May 2025
Mach number (category Dimensionless numbers of fluid mechanics)
number (M or Ma), often only Mach, (/mɑːk/; German: [max]) is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary...
19 KB (2,209 words) - 09:43, 21 July 2025
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases...
32 KB (4,334 words) - 20:39, 3 July 2025
Sherwood number (category Dimensionless numbers of fluid mechanics)
number (Sh) (also called the mass transfer Nusselt number) is a dimensionless number used in mass-transfer operation. It represents the ratio of the total...
4 KB (593 words) - 18:00, 31 December 2024
Weber number (category Dimensionless numbers of fluid mechanics)
is a dimensionless number in fluid mechanics that is often useful in analysing fluid flows where there is an interface between two different fluids, especially...
6 KB (822 words) - 17:57, 31 December 2024
Strouhal number (category Dimensionless numbers of fluid mechanics)
number – Dimensionless parameter in fluid mechanics Deborah number – Dimensionless number in rheology Richardson number – Measure in fluid dynamics Strouhal...
22 KB (3,056 words) - 13:42, 12 July 2025
Nusselt number (category Dimensionless numbers of fluid mechanics)
convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number.: 466 A Nusselt number of...
17 KB (2,743 words) - 00:07, 11 June 2025
Prandtl number (category Dimensionless numbers of fluid mechanics)
The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum...
8 KB (1,106 words) - 16:37, 20 September 2024
Froude number (category Dimensionless numbers of fluid mechanics)
In continuum mechanics, the Froude number (Fr, after William Froude, /ˈfruːd/) is a dimensionless number defined as the ratio of the flow inertia to the...
22 KB (3,023 words) - 08:12, 25 May 2025
Drag coefficient (category Dimensionless numbers of fluid mechanics)
a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the...
21 KB (2,716 words) - 17:03, 9 June 2025
Grashof number (category Dimensionless numbers of fluid mechanics)
In fluid mechanics (especially fluid thermodynamics), the Grashof number (Gr, after Franz Grashof) is a dimensionless number which approximates the ratio...
18 KB (2,946 words) - 06:44, 15 August 2024
Rossby number (category Dimensionless numbers of fluid mechanics)
number (Ro), named for Carl-Gustav Arvid Rossby, is a dimensionless number used in describing fluid flow. The Rossby number is the ratio of inertial force...
7 KB (704 words) - 15:58, 23 March 2025
Péclet number (category Dimensionless numbers of fluid mechanics)
In continuum mechanics, the Péclet number (Pe, after Jean Claude Eugène Péclet) is a class of dimensionless numbers relevant in the study of transport...
4 KB (561 words) - 19:58, 20 July 2025
Fanning friction factor (category Dimensionless numbers of fluid mechanics)
American engineer John T. Fanning) is a dimensionless number used as a local parameter in continuum mechanics calculations. It is defined as the ratio...
10 KB (1,579 words) - 04:53, 26 June 2025
Pressure coefficient (category Dimensionless numbers of fluid mechanics)
In fluid dynamics, the pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field. The pressure coefficient...
14 KB (2,523 words) - 12:44, 24 May 2025
Richardson number (category Dimensionless numbers of fluid mechanics)
number (Ri) is named after Lewis Fry Richardson (1881–1953). It is the dimensionless number that expresses the ratio of the buoyancy term to the flow shear...
9 KB (1,275 words) - 10:53, 25 May 2025
Biot number (category Dimensionless numbers of fluid mechanics)
The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot...
9 KB (1,285 words) - 19:40, 28 December 2024
Knudsen number (category Dimensionless numbers of fluid mechanics)
assumption of fluid mechanics is no longer a good approximation. In such cases, statistical methods should be used. The Knudsen number is a dimensionless number...
11 KB (1,713 words) - 12:50, 29 May 2025
Lift coefficient (category Dimensionless numbers of fluid mechanics)
In fluid dynamics, the lift coefficient (CL) is a dimensionless quantity that relates the lift generated by a lifting body to the fluid density around...
7 KB (1,026 words) - 12:51, 24 April 2025
Karlovitz number (category Dimensionless numbers of fluid mechanics)
In combustion, the Karlovitz number is defined as the ratio of chemical time scale t F {\displaystyle t_{F}} to Kolmogorov time scale t η {\displaystyle...
3 KB (442 words) - 09:30, 17 January 2025
Womersley number (category Dimensionless numbers of fluid mechanics)
) is a dimensionless number in biofluid mechanics and biofluid dynamics. It is a dimensionless expression of the pulsatile flow frequency in relation...
7 KB (1,018 words) - 09:09, 24 June 2025
Graetz number (category Dimensionless numbers of fluid mechanics)
In fluid dynamics, the Graetz number (Gz) is a dimensionless number that characterizes laminar flow in a conduit. The number is defined as: G z = D H L...
1 KB (199 words) - 09:29, 17 January 2025
been observed in the past. Cabibbo–Kobayashi–Maskawa matrix (Cabibbo angle) Dimensionless numbers in fluid mechanics Dirac large numbers hypothesis Neutrino...
29 KB (3,166 words) - 08:29, 19 July 2025
Kinematic similarity (category Dimensionless numbers of fluid mechanics)
the time interval. To achieve kinematic similarity in a scaled model, dimensionless numbers in fluid dynamics come into consideration. For example, Reynolds...
4 KB (442 words) - 13:44, 22 February 2023
Lewis number (category Dimensionless numbers of fluid mechanics)
In fluid dynamics and thermodynamics, the Lewis number (denoted Le) is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity...
5 KB (568 words) - 16:59, 31 March 2025