Dimensionless quantity; ratio of a fluid's buoyancy to viscosity
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In fluid mechanics (especially fluid thermodynamics), the Grashof number (Gr, after Franz Grashof[a]) is a dimensionless number which approximates the ratio of the buoyancy to viscous forces acting on a fluid. It frequently arises in the study of situations involving natural convection and is analogous to the Reynolds number (Re).[2]
^Sander, C.J.; Holman, J.P. (1972). "Franz Grashof and the Grashof Number". Int. J. Heat Mass Transfer. 15 (3): 562–563. doi:10.1016/0017-9310(72)90220-7.
^Incropera, Frank (2007). Fundamentals of Heat and Mass Transfer (6th ed.). Hoboken, NJ: Wiley. pp. 408, 599, 629. ISBN 9780471457282. OCLC 288958608.
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mechanics (especially fluid thermodynamics), the Grashofnumber (Gr, after Franz Grashof) is a dimensionless number which approximates the ratio of the buoyancy...
purposes, the Rayleigh number is large, somewhere around 106 to 108. The Rayleigh number is defined as the product of the Grashofnumber (Gr), which describes...
The Hagen number (Hg) is a dimensionless number used in forced flow calculations. It is the forced flow equivalent of the Grashofnumber and was named...
sufficient. A number of dimensionless terms have been derived to describe and predict convection, including the Archimedes number, Grashofnumber, Richardson...
pressure, have Q ∗ ≫ 1 {\displaystyle Q^{*}\gg 1} . Eckert number Biot numberGrashofnumber Relative density – density relative to water Relative atomic...
dimensionless number must be chosen depending on the problem, e.g. a vertical length for the Grashofnumber and a horizontal scale for the Reynolds number. Small...
reference work General relativity, Einstein's 1915 theory of gravity Grashofnumber, in fluid dynamics London North Eastern Railway, Britain (reporting...
characteristic velocity. The Richardson number can also be expressed by using a combination of the Grashofnumber and Reynolds number, R i = G r R e 2 . {\displaystyle...
Rayleigh number with respect to this length and Pr is the Prandtl number (the Rayleigh number can be written as the product of the Grashofnumber and the...
Franz Grashof (11 July 1826 – 26 October 1893) was a German engineer. He was a professor of Applied Mechanics at the Technische Hochschule Karlsruhe....
Archimedes number (Ar) parametrizes the relative strength of free and forced convection. The Archimedes number is the ratio of Grashofnumber and the square...
instability such as Taylor–Couette flow, the Taylor number is mathematically analogous to the Grashofnumber which characterizes the strength of buoyant forces...
transfer) Dimensionless quantity Galilei numberGrashofnumber Reynolds number Froude number Eötvös number Sherwood number Wypych, George (2014). Handbook of...
properties are calculated when using the Prandtl number, Nusselt number, Reynolds number or Grashofnumber to calculate a heat transfer coefficient, because...
diagonals give common symbols for the quantities, and the given dimensionless number is the ratio of the left column quantity over top row quantity; e.g. Re...
vacuum technology Franz Grashof (1826–1893), who significantly contributed to the understanding of free convection; the GrashofNumber was named after him...
German actor (in German) Grashof condition, used when analysing kinematic chains, named after Franz GrashofGrashofnumber ( G r {\displaystyle \mathrm...
– Fritz Goos and Hilda Hänchen Gould Belt – Benjamin Gould Grashofnumber – Franz Grashof Greisen–Zatsepin–Kuzmin cut-off/limit (a.k.a. GZK cutoff/limit)...
Richardson number Archived 2015-03-02 at the Wayback Machine Schmidt number Archived 2010-01-24 at the Wayback Machine Sommerfeld number Strouhal number, Engineering...
Reynolds number or by a laminar plume with a large Grashofnumber, in the case where the fluid domain is bounded by a wall. When the jet Reynolds number or...
25}({\tfrac {\mu }{\mu _{s}}})^{0.25}} where G r {\displaystyle Gr} is the Grashofnumber given by the expression: G r = β Δ T g d n 3 ρ 2 μ 2 {\displaystyle...
Nu_{a}={\frac {h_{a}D}{k}}} . Natural or free convection is a function of Grashof and Prandtl numbers. The complexities of free convection heat transfer...
convection might be very strong. The Rayleigh number ( R a {\displaystyle \mathrm {Ra} } ) is the product of the Grashof ( G r {\displaystyle \mathrm {Gr} } )...
Urban Guerilla in the form of the RAF is now history). By 1972 a large number of the core members of the Baader-Meinhof Gang had been captured and imprisoned...
(1879–1930), Sculptor Robert Gerwig (1820–1885), Railway engineer Franz Grashof (1826–1893), Mechanical engineer and university professor Franz Gurk (1898–1984)...
French painter whose works depict the folklore and customs of Chile. Otto Grashof = German painter, illustrator and portraitist. Thomas Somerscales = English...
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