Head loss formula in series pipe

In summary, the head loss formula in series pipe is a mathematical equation derived from Bernoulli's equation that calculates the change in pressure or energy loss in a series of pipes. It assumes an incompressible, steady, and fully developed flow with a smooth pipe and constant fluid properties. This formula is commonly used in practical applications to design pipe networks, but it may have limitations in complex systems and non-Newtonian fluids.
  • #1
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Homework Statement


i know that the formula of head loss is (V^2) / 2g , where v =velocity , but , why did the author want to change it to k[(Q)^1/n ] ?

Homework Equations

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  • #2
I don't know what the author's plan is - seeing the entire text might help - but in that equation the author is merely saying suppose in general that the head height is proportional to the mass flow rate raised to some power. The constant of proportionality and the power constant might allow for drag, say.
 

Related to Head loss formula in series pipe

1. What is the head loss formula in series pipe?

The head loss formula in series pipe is a mathematical equation used to calculate the change in pressure or energy loss in a series of pipes connected in a series. It takes into account factors such as pipe length, diameter, roughness, and flow rate to determine the amount of head loss.

2. How is the head loss formula in series pipe derived?

The head loss formula in series pipe is derived from the fundamental principles of fluid mechanics, specifically the Bernoulli's equation which relates the pressure, velocity, and elevation of a fluid at any given point. By applying this equation to a series of pipes, the head loss formula is obtained to calculate the pressure drop across the system.

3. What are the assumptions made in the head loss formula in series pipe?

The head loss formula in series pipe assumes that the fluid is incompressible, the flow is steady and fully developed, and the pipe is smooth. It also assumes that there are no changes in elevation and the fluid properties remain constant throughout the system.

4. How is the head loss formula in series pipe used in practical applications?

The head loss formula in series pipe is commonly used in engineering and construction projects involving pipe networks, such as water supply systems, irrigation systems, and HVAC systems. It helps engineers and designers to determine the appropriate pipe sizes and pump specifications to achieve desired flow rates and minimize energy losses.

5. Are there any limitations to the head loss formula in series pipe?

While the head loss formula in series pipe is a widely accepted method for calculating pressure drop in pipe networks, it does have certain limitations. It may not accurately predict head losses in systems with complex geometries or non-Newtonian fluids. Additionally, it does not take into account factors such as pipe fittings, bends, and valves which can also contribute to head losses in a system.

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