I haven't seen a clear and general definition of control volume. So if you know one, skip the context below and please give me your definition and sincerely, thank you.
The union of all the definitions is:
"A control volume is a mathematically abstract volume in space, which when observed from a inertial reference frame, is at rest or moves with uniform velocity."
By the motion of the volume, I assume it to be the motion of the centroid of volume(or geometric centre) of the volume.
Is the definition given correct and absolute?
Would it be safe to consider an abstract volume rotating with constant angular speed to be a control volume for scientific/mathematical purposes ?
An abstract volume whose geometric centre accelerates or which rotates with an increasing angular speed, it can't be referred to as control volume, can it?
Ultimately, I would like to a have a general definition of the control volume for me to follow throughout my life.