What are Irrotational and Solenoidal Vector Fields?

In an Irrotational vector field, curl is always equal to zero everywhere. The irrotational vector field will be conservative or equal to the gradient of a function when the domain is connected without any discontinuities.

Solenoid vector field is also known as incompressible vector field in which the value of divergence is equal to zero everywhere. According to the Kelvin–Stokes theorem, a flux integral in this field always depends on the boundary and the value of closed flux integral is always a zero.