Have they solved this fluid flow problem right?

In summary, the problem is about laminar flow in ducts with viscosity, and the head loss is equal to the elevation change. The friction head loss is usually calculated using Bernoulli's equation, but in this case, the pressure difference is assumed to be zero due to the incompressibility of the fluid. Therefore, the second part of the equation can be omitted.
  • #1
horefaen
9
0
This is a problem about fluid flow in ducts the fluid has viscosity and it is laminar flow.
Please look at the problem and sollution here:

http://img156.imageshack.us/i/80737443.png/

They have said that the head loss equals the elevation change. But if you use bernoulis equation with the correlations for friction, and also use the fact that the velocity is the same at both ends(which is usually done in these kind of fluid flow problems). We get that the friction head loss equals the difference in elevetion + the difference in preassure(divided by density*g), why have they omitted this second part?

please help
 
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  • #2
. The reason why the second part of the Bernoulli equation has been omitted is because it is assumed that the fluid is incompressible and that the pressure is constant throughout the pipe. This means that the pressure difference between the two ends of the pipe is zero, so the second part of the equation can be safely ignored.
 

FAQ: Have they solved this fluid flow problem right?

What is a fluid flow problem?

A fluid flow problem is a scientific question or challenge related to the movement of liquids and gases. It can involve a wide range of factors, such as viscosity, turbulence, and external forces, and can be applied to various fields such as engineering, physics, and biology.

How do scientists solve fluid flow problems?

Scientists use mathematical models, experimental methods, and computer simulations to solve fluid flow problems. These approaches allow them to analyze and predict the behavior of fluids under different conditions and make accurate conclusions about their properties and movements.

What impact do fluid flow problems have on everyday life?

Fluid flow problems have a significant impact on our daily lives, as they are crucial in numerous industrial processes, such as transportation of liquids and gases, energy production, and manufacturing. Understanding fluid flow also helps us design more efficient and sustainable systems and devices.

Can fluid flow problems be solved accurately?

While there is no perfect solution to every fluid flow problem, scientists have developed reliable methods and tools to solve them with a high degree of accuracy. However, the complexity and unpredictability of fluid dynamics make it challenging to find complete and definitive solutions for certain problems.

What are some current challenges in solving fluid flow problems?

Some of the current challenges in solving fluid flow problems include the need for more advanced computational capabilities, the integration of different disciplines, and the development of more accurate and efficient models. Additionally, the study of extreme conditions, such as high velocities or extreme temperatures, presents new challenges for scientists to overcome.

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