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Stokes' law is important for understanding the swimming of microorganisms and sperm; also, the sedimentation of small particles and organisms in water, under the force of gravity. [ 5 ] In air, the same theory can be used to explain why small water droplets (or ice crystals) can remain suspended in air (as clouds) until they grow to a critical ...
An illustration of Stokes' theorem, with surface Σ, its boundary ∂Σ and the normal vector n.The direction of positive circulation of the bounding contour ∂Σ, and the direction n of positive flux through the surface Σ, are related by a right-hand-rule (i.e., the right hand the fingers circulate along ∂Σ and the thumb is directed along n).
The derivation of Stokes' law, which is used to calculate the drag force on small particles, assumes a no-slip condition which is no longer correct at high Knudsen numbers. The Cunningham slip correction factor allows predicting the drag force on a particle moving a fluid with Knudsen number between the continuum regime and free molecular flow.
Upload file; Special pages ... as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Stokes law can refer to: Stokes' law ...
Sir George Gabriel Stokes, 1st Baronet, (/ s t oʊ k s /; 13 August 1819 – 1 February 1903) was an Irish mathematician and physicist.Born in County Sligo, Ireland, Stokes spent all of his career at the University of Cambridge, where he was the Lucasian Professor of Mathematics from 1849 until his death in 1903.
Gause's law or the competitive exclusion principle, named for Georgy Gause, states that two species competing for the same resource cannot coexist at constant population values. The competition leads either to the extinction of the weaker competitor or to an evolutionary or behavioral shift toward a different ecological niche .
In vector calculus and differential geometry the generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, [1] is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.
He was the editor of the journal Evolutionary Theory, which he printed on simple paper stock under the motto, "Substance over form." He was also interested in fields outside biology, including measure theory, probability theory, logic, thermodynamics, epistemology and the philosophy of science. As a biologist, Van Valen considered the role of ...