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- Taylor_number abstract "In fluid dynamics, the Taylor number (Ta) is a dimensionless quantity that characterizes the importance of centrifugal "forces" or so-called inertial forces due to rotation of a fluid about an axis, relative to viscous forces.In 1923 Geoffrey Ingram Taylor introduced this quantity in his article on the stability of flow.The typical context of the Taylor number is in characterization of the Couette flow between rotating colinear cylinders or rotating concentric spheres. In the case of a system which is not rotating uniformly, such as the case of cylindrical Couette flow, where the outer cylinder is stationary and the inner cylinder is rotating, inertial forces will often tend to destabilize a system, whereas viscous forces tend to stabilize a system and damp out perturbations and turbulence. On the other hand, in other cases the effect of rotation can be stabilizing. For example, in the case of cylindrical Couette flow with positive Rayleigh discriminant, there are no axisymmetric instabilities. Another example is a bucket of water that is rotating uniformly (i.e. undergoing solid body rotation). Here the fluid is subject to the Taylor-Proudman theorem which says that small motions will tend to produce purely two-dimensional perturbations to the overall rotational flow. However, in this case the effects of rotation and viscosity are usually characterized by the Ekman number and the Rossby number rather than by the Taylor number.There are various definitions of the Taylor number which are not all equivalent, but most commonly it is given bywhere is a characteristic angular velocity, R is a characteristic linear dimension perpendicular to the rotation axis, and is the kinematic viscosity.In the case of inertial instability such as Taylor–Couette flow, the Taylor number is mathematically analogous to the Grashof number which characterizes the strength of buoyant forces relative to viscous forces in convection. When the former exceeds the latter by a critical ratio, convective instability sets in. Likewise, in various systems and geometries, when the Taylor number exceeds a critical value, inertial instabilities set in, sometimes known as Taylor instabilities, which may lead to Taylor vortices or cells.A Taylor–Couette flow describes the fluid behavior between 2 concentric cylinders in rotation. A textbook definition of the Taylor number is where R1 is the external radius of the internal cylinder, and R2 is the internal radius of the external cylinder.The critical Ta is about 1700.".
- Taylor_number wikiPageID "2385242".
- Taylor_number wikiPageRevisionID "560990364".
- Taylor_number hasPhotoCollection Taylor_number.
- Taylor_number subject Category:Dimensionless_numbers.
- Taylor_number subject Category:Fluid_dynamics.
- Taylor_number type Abstraction100002137.
- Taylor_number type Amount105107765.
- Taylor_number type Attribute100024264.
- Taylor_number type DimensionlessNumbers.
- Taylor_number type Magnitude105090441.
- Taylor_number type Number105121418.
- Taylor_number type Property104916342.
- Taylor_number comment "In fluid dynamics, the Taylor number (Ta) is a dimensionless quantity that characterizes the importance of centrifugal "forces" or so-called inertial forces due to rotation of a fluid about an axis, relative to viscous forces.In 1923 Geoffrey Ingram Taylor introduced this quantity in his article on the stability of flow.The typical context of the Taylor number is in characterization of the Couette flow between rotating colinear cylinders or rotating concentric spheres.".
- Taylor_number label "Getal van Taylor".
- Taylor_number label "Nombre de Taylor".
- Taylor_number label "Taylor number".
- Taylor_number label "Taylor-Zahl".
- Taylor_number label "Число Тейлора".
- Taylor_number sameAs Taylor-Zahl.
- Taylor_number sameAs Nombre_de_Taylor.
- Taylor_number sameAs Getal_van_Taylor.
- Taylor_number sameAs m.0787tg.
- Taylor_number sameAs Q1935046.
- Taylor_number sameAs Q1935046.
- Taylor_number sameAs Taylor_number.
- Taylor_number wasDerivedFrom Taylor_number?oldid=560990364.
- Taylor_number isPrimaryTopicOf Taylor_number.