Which of the following is true?a)the slope of EGL will always be great...
Explanation: EGL is obtained by plotting total head at various points along the axis of the pipe.
where H is the total head, P ⁄ γ is the pressure head, z is the potential head, , and v
2 / 2g is the velocity head.
Hence, there is no relation whatsoever between the slope of EGL and that of the axis of the pipe.
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Which of the following is true?a)the slope of EGL will always be great...
The correct answer is option D: the slope of EGL will always be independent of that of the axis of the pipe.
Explanation:
To understand why the slope of EGL (Energy Grade Line) is independent of the slope of the axis of the pipe, let's first define what each of these terms represents:
1. Slope of the axis of the pipe:
The slope of the axis of the pipe represents the change in elevation of the pipe axis per unit length. It can be positive (upward slope) or negative (downward slope) depending on the direction of flow.
2. Slope of EGL:
The slope of EGL represents the change in total energy head (including both pressure head and elevation head) per unit length. It is related to the hydraulic gradient and the friction losses experienced by the fluid flowing through the pipe.
Now, let's discuss why the slope of EGL is independent of the slope of the axis of the pipe:
1. Flow in a pipe:
When fluid flows through a pipe, it experiences various forces such as pressure forces and friction forces. These forces result in energy losses, causing a decrease in the total energy head along the pipe. This decrease in energy head is reflected by the slope of the EGL.
2. Conservation of Energy:
According to the principle of conservation of energy, the total energy of a fluid remains constant along a streamline. This means that the sum of the pressure head and the elevation head at any point along the pipe will be equal to the sum of the pressure head and the elevation head at any other point along the same streamline.
3. EGL and Hydraulic Gradient:
The EGL represents the total energy head at different points along the pipe. The hydraulic gradient, on the other hand, represents the pressure head at different points along the pipe. The hydraulic gradient is directly related to the slope of the axis of the pipe.
4. Friction Losses:
Friction losses occur due to the interaction between the fluid and the pipe walls. These losses depend on factors such as the pipe roughness, flow velocity, and pipe diameter. Friction losses cause a decrease in the total energy head, resulting in a negative slope of the EGL.
5. Conclusion:
The slope of EGL is independent of the slope of the axis of the pipe because the EGL represents the total energy head and is influenced by various factors such as friction losses, while the slope of the axis of the pipe represents the change in elevation and is influenced by the hydraulic gradient.