axisymmetry Definition
the property of a geometric figure or a physical system that can be rotated about an axis into coincidence with its original configuration.
Using axisymmetry: Examples
Take a moment to familiarize yourself with how "axisymmetry" can be used in various situations through the following examples!
Example
The vase has axisymmetry because it looks the same when rotated around its central axis.
Example
The cylinder is an example of a shape with axisymmetry.
Example
The satellite has axisymmetry, which allows it to maintain a stable orbit.
Phrases with axisymmetry
a type of fluid flow in which the velocity and other flow properties are symmetric with respect to an axis of rotation
Example
Axisymmetric flow is often used to model fluid behavior in engineering applications.
a type of deformation in which the shape of an object changes while maintaining axisymmetry
Example
The deformation of a cylindrical rod under tension is an example of axisymmetric deformation.
a mathematical model used to describe the flow of a fluid in which the velocity and other flow properties are symmetric with respect to an axis of rotation
Example
Axisymmetric potential flow is often used to model fluid behavior in aerodynamics.
Origins of axisymmetry
from Greek 'axis' meaning 'axle' and 'symmetria' meaning 'symmetry'
Summary: axisymmetry in Brief
'Axisymmetry' [ak-see-sim-i-tree] refers to the property of a geometric figure or physical system that can be rotated about an axis into coincidence with its original configuration. Examples include the vase and cylinder, which look the same when rotated around their central axes. 'Axisymmetry' extends into phrases like 'axisymmetric flow,' which describes fluid flow with rotational symmetry, and 'axisymmetric potential flow,' which is a mathematical model used to describe fluid behavior in aerodynamics.
