عدد ِ تیلر adad-e Taylor
*Fr.: nombre de Taylor*
A → *dimensionless* number indicating the relative importance of the
→ *centrifugal* and → *viscous force*s
in the → *Taylor-Couette flow*.
It is also called rotational Reynolds number. Its value depends on the length scale
of the convective system, the rotation rate, and
→ *kinematic viscosity*. The Taylor number Ta is expressed by
Ω^{2}*Rd*^{3}/ν^{2}
where Ω is the → *angular velocity* of the inner cylinder,
*R = (R*_{1} + *R*_{2})/2 is the mean radius of the two cylinders,
*d = R*_{2} - *R*_{1} is the distance between the cylinders,
and ν is → *kinematic viscosity*.
If Ta is equal or greater than one, the rotational effects are significant. Named after Geoffrey Ingram Taylor (1886-1975), a British physicist, mathematician, and
expert on fluid dynamics and wave theory; → *number*. |