Step 1: Interpret the given condition.
The symbol \(s\) represents the distance along the flow direction.
\[
\frac{\partial v}{\partial s}=0
\]
means that the velocity does not change with position.
Step 2: Identify the flow type.
Since velocity is constant along the flow path,
\[
\boxed{\text{Uniform Flow}}
\]
is obtained.
Hence,
\[
\boxed{(A)}
\]
is the correct answer.