Note that the Hazen-Williams formula is empirical and lacks physical basis. Be aware that the roughness constants are based on "normal" condition with approximately 1 m/s (3 ft/sec).
FredGarvin said:My reference as well as the website here (http://www.piping-toolbox.com/6_797.html) show that you are right on the edge of [tex]R_e[/tex] for using Hazen-Williams. Also, are you possibly outside the realm of this:
I guess after we discount those two notions, the model will have to go under the microscope. Is there any way to compare your model to Darcy?
The Reynolds 10^5 & Hazen-Williams Friction Model is a mathematical equation used to calculate the frictional resistance of water flowing through a pipe. It takes into account factors such as pipe roughness, flow rate, and pipe diameter to determine the head loss in the system.
The accuracy of the model depends on the specific conditions of the system. It is generally considered to be accurate for systems with a Reynolds number between 10^5 and 10^8. However, it may not be as accurate for systems with very high or very low flow rates.
One of the main limitations of the model is that it does not take into account the effects of turbulence in the flow. It also assumes that the pipe is smooth and the flow is steady, which may not always be the case in real-world systems. Additionally, it may not be accurate for systems with non-Newtonian fluids or complex geometries.
The model is commonly used in engineering and design projects for water distribution systems, as well as in the analysis of open channel flow. It is a good option for relatively simple systems with moderate flow rates and smooth pipes.
Yes, there are several other models that can be used to calculate head loss in a pipe or channel, such as the Darcy-Weisbach equation or the Manning equation. The choice of model depends on the specific characteristics of the system and the desired level of accuracy.