Divergence of Vector
Divergence of Vector:
We now derive the expression for the divergence of a vector. In this orthogonal curvilinear coordinates system (u1, u2, u3) the unit vector can be expressed as
By the vector equation can be written as
Then the divergence of is
1. If f and g are continuously differentiable show that is a solenoidal.
Solution: A vector is solenoidal if To show that is solenoidal. First we show that can be expressed as curl of vector.
Operating divergence on this and using the identity