Steady Flow:
In fluid mechanics, a steady flow refers to a flow in which the velocity and other flow characteristics at a given point in the fluid do not change with time. In other words, the flow remains constant and unchanged over time.

Streamlines:
Streamlines are imaginary lines that are drawn in a fluid flow field to represent the path followed by individual particles. They are defined as the tangent lines to the velocity vectors at each point in the flow field. The streamlines provide a visual representation of the flow pattern and direction at different points in the fluid.

Streamline Distribution:
The streamline distribution refers to the arrangement and pattern of the streamlines in a flow field. It shows how the particles are moving and the paths they follow. The streamline distribution can vary depending on the type of flow.

Analysis of the Given Information:
According to the given information, the streamline distribution remains the same even after some time. This implies that the arrangement and pattern of the streamlines do not change with time. Based on this information, we can determine the type of flow.

Explanation of the Correct Answer:
The correct answer is option 'A', which states that the flow is steady. This means that the velocity and other flow characteristics at any given point in the flow field do not change with time.

Reasoning:
When a flow is steady, the particles move along the same paths and follow the same streamlines over time. Since the given information states that the streamline distribution remains the same, it indicates that the flow is steady.

Elimination of Other Options:
Let's analyze the other options to understand why they are not correct:

b) Unsteady Flow:
In unsteady flow, the velocity and flow characteristics at a given point change with time. Since the given information states that the streamline distribution remains the same, it eliminates the possibility of unsteady flow.

c) Uniform Flow:
Uniform flow refers to a flow in which the velocity and flow characteristics are constant at every point in the flow field. The given information does not specify the constancy of flow characteristics at different points, so it cannot be concluded that the flow is uniform.

d) Non-uniform Flow:
Non-uniform flow refers to a flow in which the velocity and flow characteristics vary at different points in the flow field. The given information does not provide any indication of variations in flow characteristics, so it cannot be concluded that the flow is non-uniform.

Conclusion:
Based on the given information that the streamline distribution remains the same even after some time, we can conclude that the flow is steady. This implies that the velocity and other flow characteristics at any given point in the flow field do not change with time.