Divergence denotes only the magnitude of change and so, it is a scalar quantity. It does not have a direction. When the initial flow rate is less than the final flow rate, divergence is positive (divergence > 0).

What is divergence physically?

In physical terms, the divergence of a vector field is the extent to which the vector field flux behaves like a source at a given point. It is a local measure of its "outgoingness" – the extent to which there are more of the field vectors exiting an infinitesimal region of space than entering it.

What is the physical significance of divergence?

The physical significance of the divergence of a vector field is the rate at which "density" exits a given region of space.