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Steam Expansion

12/17/2009 2:25 PM

Hey everybody, it's my turn to ask a question.

Suppose I fill a chamber (1.7446 cu. ft.) on top of a piston with, say 250 PSIG steam (1.7446 cu. ft. per pound) then shut off the steam inlet valve and let the pressure move the piston full stroke to a "expose" a total cylinder volume of 32.7174 cu. ft. (the volume of steam at 5 inches Hg vacuum).

Given that the volume of "0" PSIG steam is 28.8879 cu. ft. per pound, will the piston go to the full stroke position driven by inertia but then the resulting steam pressure above the piston will go "vacuum", pulling the piston back up to the "0" PSIG volume with 212F saturated steam or will the resulting pressure at the bottom of the stroke still be "0" PSIG but with steam that is cooler than 212F, or will the steam be "0" PSIG at 212F at the bottom of the stroke?

This is a real-world question regarding a project that I am working on, and am trying to be sure of the results before I build the prototype and find out for sure.

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#1

Re: Steam Expansion

12/17/2009 5:32 PM

Suppose I fill a chamber (1.7446 cu. ft.) on top of a piston with, say 250 PSIG steam (1.7446 cu. ft. per pound) then shut off the steam inlet valve and let the pressure move the piston full stroke to a "expose" a total cylinder volume of 32.7174 cu. ft. (the volume of steam at 5 inches Hg vacuum).

a number of things. efficiency of your system just to name one.

And remember if the volume inside your cylinder goes into vacuum, the steam at just below 212 degrees F will not change phase to a liquid. At 28" Hg vacuum it will remain as steam to as low as about 120 degree F.

Check out a WASP program for that to find out what 5 Hg is.

p911

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#2
In reply to #1

Re: Steam Expansion

12/17/2009 6:02 PM

I am fully aware of the nature of steam, and especially in a vacuum condition.

My question is "what will happen?"

If the steam stays non-vacuum, and just gets cooler, then the efficiency will by based on the HP formula of "(pressure X area X distance traveled in the stroke (in feet) X number of strokes per minute X number of active pistons) / 33000 pound-feet per minute" will use the AVERAGE of the initial pressure (250 PSIG) minus the final pressure (0 PSIG) or 125 PSIG as the pressure for the full stroke. Nothing here affects efficiency, just the total amount of power I can get out of the engine the contains the piston.

Which goes back to the question- What will happen?

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#3

Re: Steam Expansion

12/17/2009 8:59 PM

Header Volume is 1.7446 @250 PSI

Cylinder total Volume is 32.7174

When you open the valve at the inlet of the cylinder then

The expansion of the compressed steam is going to immediately cool it down

As it cools down (sorry just not comfortable with Imperials) from 100oC, it will condense - either as saturated steam or in fog form and that will further reduce the volume. Phase change, temperature drop.

The piston has inertia, but it has friction too. In ideal circumstances it is supposed to go full length due to inertia and then pull back. But under the condition, it will just go a length and then pull back almost all the way - the condensed steam (now water) volume will be accommodated in your initial header.

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#4
In reply to #3

Re: Steam Expansion

12/18/2009 1:30 AM

how such condensate is normally drained above the cylinder? For safety, has it to be horizontal cylinder for quick draining?

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#5

Re: Steam Expansion

12/18/2009 2:02 AM

I agree that it is likely that, given the conditions I proposed, a vacuum will likely be drawn. Still ot sure whether any condensate would be created, due to vacuum conditioning likely reflashing any condensate back into vacuum steam.

That is why I posted this thread- to see if my "fears" would play out.

SO- FOR THE REST OF THIS DISCUSSION- LET US ASSUME THAT THE TOTAL VOLUME OF THE CYLINDER IS NO MORE THAN THE VOLUME OF ONE POUND OF STEAM AT ZERO PSIG (28.8879 Cu Ft) - or perhaps just slightly less than that value so the steam cools and drops pressure due to expansion, but stays steam under non-negative pressure.

Does everyone agree that the vapor will stay as steam, and that the exhaust gas will be about 212F, 0 PSIG?

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#6

Re: Steam Expansion

12/18/2009 3:15 AM

Google "adiabatic expansion".

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#7

Re: Steam Expansion

12/18/2009 9:44 AM

Having trouble getting past this part: "250 PSIG steam (1.7446 cu. ft. per pound) then shut off the steam inlet valve and let the pressure move the piston full stroke"

Either the piston is locked in place or it takes 250 PSIG to move it. Other wise the piston would begin to move at some point below 250PSIG, proir to valve shut-off. Maybe it does and maybe this doesn't matter.

Once the valve is closed, how can any "work" occur? How much force is required to move the piston?

Are you working on a steam driven supertanker? Otherwise, how will you fit an engine with a single cylinder displacement of 28.8879 cu. ft. into your flivver?

This is over my head.

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#8

Re: Steam Expansion

12/20/2009 1:19 AM

I have read up a bit on steam and will try to comment, but beware that I'm not all that familiar.

As I understand it, the theoretical upper limit on Rankine steam cycle efficiency depends on the two temperatures (evaporating and condensing). For 565°C steam and 30°C condensing, this is 63% (higher temperatures can't be handled by the usual materials). The best cycles so far obtained commercially are around 42%, so there would seem to be room for improvement.

That said, I don't understand how something like 4% of "normal" flow (even at 100% efficiency) could equal 100% of "normal" flow at 42% efficiency. Steam has only so much energy in it, even under perfect conditions.

The idea of expanding in stages, rather than all in one fell swoop, probably has advantages (similar in reverse to those of multistage refrigerant compression). These advantages will be partially offset by the increasing size of lower pressure expansion devices (engines/turbines) that will be needed to handle the same mass flow.

All in all, I suspect that any gains will be incremental, at some cost in complexity.

I have heard only a little about "uniflow" or "crossflow" or stratification, usually without diagrams that specify the anticipated PH/TS conditions at each step.

Another thing I'm unsure of is whether the arithmetical average of pressure is correct throughout the piston stroke; instead it might be the logarithmic average, similar to LMTD in heat transfer calculations.

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#9

Re: Steam Expansion

12/25/2009 4:19 AM

In your proposed test, the steam exposed surfaces would absorb heat/energy at startup and when thermally equalized be between 212 - 250. probably over 212 F. I cannot remember if a stirling engine follows through the cycle due to centrifugal or largely neg pressure differential or both. ?with or without flywheel? precision metered steam inbound? surplus steam input?

my toy steam engine yrs ago would "dump" pressure at end of power stroke. open circuit? If I started it very slowly, I could get it to do one very slow power/push stroke [3 seconds half inch] and then it would stall/stop at Bottom dead centre. not enough momentum or low pressure. it would pull back in a minute or so halfway to top dead centre.I tried to repeat this hundreds of times, not really understanding it of course.[time well wasted] not quite enough sometimes to continue to run until i pushed it by hand or made more steam. it had 2 sloppy slider valves I think. this sounds interesting.

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#10
In reply to #9

Re: Steam Expansion

12/25/2009 9:43 AM

Although several folks found your thread off-topic, I believe that it was a real-world case of exactly what I THOUGHT might happen, and agreed that I needed to use adequate steam volume and/or small enough cylinder displacement to avoid what happened to you before you "knew better".

Thanks for the input. You have confirmed what "the numbers" have predicted before I built a larger version of your toy to confirm the same results.

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#11

Re: Steam Expansion

12/25/2009 9:50 AM

In reply to Item 9 that won't be deemed "off topic"-

Although several folks found your thread off-topic, I believe that it was a real-world case of exactly what I THOUGHT might happen, and agreed that I needed to use adequate steam volume and/or small enough cylinder displacement to avoid what happened to you before you "knew better".

Thanks for the input. You have confirmed what "the numbers" have predicted before I built a larger version of your toy to confirm the same results.

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