Which of the following diagrams does not represent a streamline flow?

Options

A.
B.
C.
D.

Explanation

To determine which diagram does not represent a streamline flow, we need to understand the characteristics of streamline flow. Here’s a step-by-step solution:

### Step 1: Understand Streamline Flow
Streamline flow is characterized by the following properties:
- The fluid particles passing through any point have a constant velocity in both magnitude and direction.
- Streamlines never intersect each other.

### Step 2: Analyze Each Diagram
We need to analyze the diagrams provided in the question to identify which one does not conform to the properties of streamline flow.

#### Diagram Analysis:
- **Diagram 1**: If the streamlines are parallel and do not intersect, this represents a streamline flow.
- **Diagram 2**: If the streamlines are smooth and continuous without intersections, this also represents a streamline flow.
- **Diagram 3**: If the streamlines are consistent in direction and magnitude and do not cross, this is still a streamline flow.
- **Diagram 4**: If the streamlines intersect at any point, this violates the principle that two streamlines cannot intersect. This indicates that at the intersection point, a fluid particle would have two different velocities, which is impossible.

### Step 3: Conclusion
Based on the analysis, the diagram that shows intersecting streamlines does not represent a streamline flow. Therefore, the answer is:

**Option 4** does not represent a streamline flow.

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