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Bernoulli's principle

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Old Aug 10, 2007 | 07:13 PM
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Lightbulb Bernoulli's principle

If you aren't familiar with the principle it states (in my own words): when a fluid/gas is flowing through a pipe when the diameter of the pipe decreases the velocity increases and pressure decreases. and when a fluid/gas is flowing through a pipe and the diameter increases, velocity decreases and pressure increases.
now putting this theory into exhaust, wouold it be correct to say that if you started out with a 3" pipe, went a couple feet and then stepped it down to 2 3/4" then went a couple feet and stepped it down again to 2 1/2" that you would have better exhaust flow and ultimately increase power?
And going from 3" pipe and stepping up would decrease flow and increase preassure untimately decreasing power?
if this is a repeat subject just let me know, but what do you guys think? i know we have some intelligent people in here.
 
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Old Aug 10, 2007 | 07:20 PM
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That's not quite how I recall bernoulli's, but yes kinda. It's not flow, but velocity. Hold on let me get the principle in front of me.
 
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Old Aug 10, 2007 | 07:28 PM
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Don't forget that in that principle, mass flow rate is constant.

The gasses would be moving faster, but you won't be making any more power.

Every see any exhaust that does this? Maybe someone tried it already.....

Greg
 
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Old Aug 10, 2007 | 07:31 PM
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Did you ever look at the older ford trucks? It was 3" out of the first cat, 2 1/2" out of the second, and 2 1/4" at the back of the muffler.
 
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Old Aug 10, 2007 | 07:31 PM
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1/2qv(squared)+p+qU= constant

q is density, v is velocity, p is pressure, U is potential energy

Is this the one you mean?

I don't know the specs, but p should be relative and not absolute. q I just don't know about, because we are not dealing with an uncompress-able liquid, density of air will vary with pressure.

However, when you change the pressure or density, you will affect velocity.

Any how you also have some other issues related directly to pipes and flow. The closer you measure velocity to the side wall, the closer velocity will read to 0. Presure will also increase the longer the pipe is. And you don't want to just deal with steady flow, the gasses in the exhaust are actually pulsing for some lenght. The Idea I use is you don't want the pulses to slow before exiting the pipe, but you don't want them to colide either.
 

Last edited by ReAX; Aug 10, 2007 at 07:37 PM.
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Old Aug 10, 2007 | 07:38 PM
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Don't forget that in that principle, mass flow rate is constant.

The gasses would be moving faster, but you won't be making any more power.

[/QUOTE]

Well jet engines use this theory to make more power, and be more efficient in all the sections of the engines, so im thinkin you would definitely be making more power by incorporating this into a cars exhaust system.
 
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Old Aug 10, 2007 | 08:13 PM
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As I understand it though, a jet engine has no cylinder or seal combustion chamber. Just a venturi to accelerate the air so when the fuel is ignited, the expanding heated gases only travel in one direction.

To use your theory, you will want to create a mild vacuum behind the tip. Hopefully that will increase the headers/manifolds scavaging action and suck all of the gases out of the cylinders. Yes, if you can completely evacuate the cylinders, you could replace the burnt gas with fresh a/f.
 
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Old Aug 10, 2007 | 08:23 PM
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You are not considereing that pressure in front of the step change would be higher because the smaller pipe downstream is more restrictive.

Two throw some food for thought back to you:
Why not just run the same smaller pipe all the way through?
Where is the smallest diameter in the system right now??

Just to parallel to real world why your idea does not work, Nascar v8s start small and take 2 steps larger before the collector.
 
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Old Aug 10, 2007 | 08:34 PM
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Damn! This place is going to the rocket scientists!

Guess I need to trudge back to the beer fridge where I understand the principle of ice cold refreshing brewskis.

LMAO!

Joe
 
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Old Aug 10, 2007 | 08:59 PM
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Originally Posted by duffman77
Just to parallel to real world why your idea does not work, Nascar v8s start small and take 2 steps larger before the collector.
NASCAR engines are designed to run at 7,000+ RPM for hundreds of miles. They need peak HP gains at the very top of the powerband. No real world correlation whatsoever. Street engines spend most of their lives between idle and 5,500 RPM, especially truck engines. Their requirements are very different. A good, reliable street exhaust system will have 2 1/2" tubes into the muffler, and 2 1/4" tubes from the muffler back. The added backpressure of the smaller diameter pipe will create a torque advantage over larger tubes. CAR CRAFT magazine did a comparison of a full 3" exhaust vs. a 2 1/2" exhaust. The 3" system made more power upstairs (and made more noise), but it lost torque points to the smaller tubes. Fight the urge to run sewer pipe exhaust tubing on a truck unless it's a mudbogger or drag truck. You'll spend more money and have nothing to show for it but ringing ears.
 
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Old Aug 10, 2007 | 09:22 PM
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I think this is the info you are looking for.

2" pipe head loss, 1' is 15.0gpm and 10' is 52gpm
2.25 1' is 21.0gpm and 72.8gpm at 10'
2.5 1' is 28.3 gpm and 98.1 at 10'
3 47.1 at 1' and 163 at 10'
references on 0.083 pipe and an non-compressable liquid.

I have never tried to use this data, so I am not 100% on how to apply it. However, you have a loss due to pipe size, it appears that the larger the pipe, the more loss. however, these are probably at constant pressures so they can be applied to the rest of the equation.
 
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Old Aug 10, 2007 | 09:40 PM
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Originally Posted by bad4dr
NASCAR engines are designed to run at 7,000+ RPM for hundreds of miles. They need peak HP gains at the very top of the powerband. No real world correlation whatsoever. Street engines spend most of their lives between idle and 5,500 RPM, especially truck engines. Their requirements are very different.
The concepts are the same, the RPMs are different hence the smaller pipes, you can find steped pipes for street engines if you look hard enough. 99% of the time cost is not worth the gains in a street engine.

Originally Posted by bad4dr
A good, reliable street exhaust system will have 2 1/2" tubes into the muffler, and 2 1/4" tubes from the muffler back. The added backpressure of the smaller diameter pipe will create a torque advantage over larger tubes. CAR CRAFT magazine did a comparison of a full 3" exhaust vs. a 2 1/2" exhaust. The 3" system made more power upstairs (and made more noise), but it lost torque points to the smaller tubes. Fight the urge to run sewer pipe exhaust tubing on a truck unless it's a mudbogger or drag truck. You'll spend more money and have nothing to show for it but ringing ears.
Backpressure is never advantageous. Magazines always test the full exhaust vs the open collector (this is an additional variable). Add a equil length of staight pipe to that bigger exhaust and you will see different results. If the torque peak drops due to the larger pipe then you have moved past optimum for your set up. Put on a larger intake, cylinder ports and cam, rev it higher and the advantage returns to the larger pipe.
 
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Old Aug 10, 2007 | 09:52 PM
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Sorry just rereading this post, my bad, cant read, full exhaust vs full exhaust. I dont change my opinion on moving to a smaller pipe downstream though and what I posted is still not wrong, they just moved past optimum as I stated.
 
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Old Aug 11, 2007 | 12:16 AM
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995.4SD you have it a bit backwards. Think of it like this: no pipe=no backpressure, more pipe or smaller pipe = more backpressure. The is an optimum backpressure for each engine, that is the headers job. Beyond the collector the less you have, the better.
 
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Old Aug 11, 2007 | 12:43 AM
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Wow! All the old engineering stuff. I think we wrote it as delta P to signify that it was a change in pressure across the direction of flow. The pressure at the exhaust tip is going to be atmospheric. As you shrink the diameter of the pipe, you're going to need an ever greater amount of pressure at the exhaust manifold to force the exhaust out.

In optimizing flow, you're seeking to drive the required pressure at the manifold down, so you don't have to have the engine work so hard pushing out exhaust ("pump loss"). The reason why you have these "optimums" is that you start encountering turbulent flow in the pipes. When you hit turbulent flow, it's going to require more energy to move the exhaust through, translating back as more backpressure. Turbulent flow starts when the Reynolds Number hits 2100 or so. Reynolds# = Density*Velocity*Diameter of pipe/(fluid viscosity). That's the way I learned it, but judging from the posts here, we've definitely got some Engineers here that will take it well beyond what I can give.
 
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