The velocity of liquid flowing through a tube at certain distance from the axis of tube

Options

A. increases from zero to maximum value
B. decreases from maximum value to zero
C. remains same throughout the cross section
D. increases from zero to a maximum value on one side and decreases from a maximum value to zero on the other side .

Answer

To solve the problem regarding the velocity of liquid flowing through a tube at a certain distance from the axis of the tube, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Flow Profile**:
- In a cylindrical tube, the velocity of a fluid is not uniform across the cross-section. The velocity is highest at the center of the tube and decreases as you move towards the walls of the tube.

2. **Identify the Velocity Distribution**:
- The velocity distribution can be visualized as a parabolic profile. At the center of the tube, the velocity is at its maximum, while at the walls (the surface of the tube), the velocity is zero due to the no-slip condition.

3. **Visual Representation**:
- Draw a diagram of the tube. Mark the center of the tube where the velocity is maximum. As you move towards the edges of the tube, draw arrows that represent the velocity decreasing to zero at the walls.

4. **Conclusion on Velocity Behavior**:
- From the observations, we conclude that the velocity of the liquid flowing through the tube decreases from a maximum value at the center to zero at the surface of the tube.

5. **Select the Correct Option**:
- Based on the analysis, the correct answer is that the velocity decreases from maximum at the center to zero at the pipe surface.

### Final Answer:
The velocity of the liquid flowing through a tube decreases from maximum at the center to zero at the pipe surface.

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