# Vorticity of a Fluid is Equal to

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Vorticity of fluid is equal to the curl of the flow velocity. It may be non-zero even when all particles are flowing along straight and parallel pathlines. It is a vector field, which gives a microscopic measure of the rotation in the fluid at any point.

## Answer: Vorticity of fluid is equal to the curl of the flow velocity.

It describes the local spinning motion of a continuum near some point. With the help of Vorticity, the velocity vector changes when one moves by an infinitesimal distance in a perpendicular direction to it. It is associated with flow circulation along a closed path by Stokes’ theorem.

A line that is everywhere tangent to the local vorticity vector is called a vortex line or vorticity line. Vortex flux is the same everywhere along the tube as the vorticity has zero divergence. Extension of vortex line leads to intensified vorticity.

Summary:

## Vorticity of a Fluid is Equal to

Mathematically, the Vorticity of fluid is equal to the curl of the flow velocity. The development of the vorticity field is elucidated by the vorticity equation.

POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com