The head loss in turbulent flow in pipe variesa)directly as the veloci...
Head Loss in Turbulent Flow in Pipes
Head loss refers to the reduction in pressure that occurs as fluid flows through a pipe due to friction. In turbulent flow, the fluid moves in an irregular and chaotic manner, causing more friction and therefore more head loss compared to laminar flow, where the fluid moves in smooth layers.
Relationship between Head Loss and Velocity
The head loss in turbulent flow in a pipe is approximately proportional to the square of the velocity. This means that if the velocity of the fluid is doubled, the head loss will be approximately four times greater.
Relationship between Head Loss and Diameter
The head loss in turbulent flow in a pipe is also affected by the diameter of the pipe. However, the relationship is not inverse square as suggested in option C. The head loss in turbulent flow is directly proportional to the length of the pipe and the friction factor, which is affected by the roughness of the pipe surface.
Factors Affecting Turbulent Flow
Turbulent flow is affected by several factors, including the velocity of the fluid, the diameter of the pipe, the viscosity of the fluid, and the roughness of the pipe surface. As the velocity increases, the flow becomes more turbulent, causing more head loss. Similarly, as the diameter of the pipe increases, the flow becomes less turbulent, reducing the head loss.
Conclusion
In conclusion, the head loss in turbulent flow in a pipe is approximately proportional to the square of the velocity. This relationship is important in determining the pressure drop and flow rate in a pipe system. Understanding the factors that affect turbulent flow can help engineers design more efficient and effective piping systems.
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