How to calculate header pipe length

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Calculating header pipe length for an equal length design involves understanding the friction losses associated with various bends in the piping, such as 45, 60, 90, and 180 degrees. While equal centerline length is straightforward, achieving equal losses may be more complex, as equal volumes can be more critical. The pressure drop in a header pipe is minimal compared to the cylinder pressure during exhaust valve opening, making pressure wave dynamics essential in header design. Reliable resources for this information include textbooks on automotive tuning and computational fluid dynamics, though commercial software can be costly. Overall, thorough research and testing are vital for effective header design.
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Hey guys n gals, Looking for a little help here. I am looking to build an equal length header for my truck and was wondering how to calculate the losses through the amount of 45, 60, 90 and 180deg bends for 1.5 sch.40 pipe. Now, for clarity, I do NOT mean equal centerline length, that's easy enough.

In the picture is an idea of what I am talking about. From right to left the first pipe would seem to have less friction loss than 3 or 4.

Explain it all, This curious mind likes to learn :) Thanks in advance.
 

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There have GOT to be standard tables for such losses...engineers must use that kind of stuff all the time...
 
I'm not so sure that the equal length approach is intended to give equal losses, it may be more important that the volumes be equal.

Just to make up a few numbers, a header pipe exhausting a one-liter cylinder running at 5000 rpm is going to pass about 80 cubic foot per minute (for a four stroke). If this pipe is about two feet long the pressure drop in the pipe is only a fraction of a psi (about 0.2). This is small relative to the pressure in the cylinder when the exhaust valve opens.

Header design is all about the pressure waves or pulses which take place due to the periodic stroking of the exhaust valve. There are a number of excellent textbooks out there that go into this in great detail. Commercial software such as that identified above is typically based on steady-flow solutions which are of no help in this instance. Headers are designed using (1) well established thumbrules,(2) extensive testing, and (3) maybe some sophisticated computational fluid dynamics (CFD). The price tag on those kinds of programs make the 700 GbPound price of the steady state piping program look cheeep.

Check Amazon dot com for automotive books with "tuning" in the title. A Graham Bell's books are classics, but there are many others.
 
gmax137 said:
Check Amazon dot com for automotive books with "tuning" in the title. A Graham Bell's books are classics...

seconded
 
Thanks a lot for the info guys. That really helped a lot.
 
What mathematics software should engineering students use? Is it correct that much of the engineering industry relies on MATLAB, making it the tool many graduates will encounter in professional settings? How does SageMath compare? It is a free package that supports both numerical and symbolic computation and can be installed on various platforms. Could it become more widely used because it is freely available? I am an academic who has taught engineering mathematics, and taught the...

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