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- From: pauls@hpnmdla.sr.hp.com (Paul Stafford)
- Date: Mon, 12 Oct 1992 22:00:59 GMT
- Subject: Re: Effects of compression ration increase on HP
- Message-ID: <4170088@hpnmdla.sr.hp.com>
- Organization: Hewlett-Packard, Santa Rosa, CA
- Path: sparky!uunet!charon.amdahl.com!pacbell.com!ames!elroy.jpl.nasa.gov!sdd.hp.com!scd.hp.com!hplextra!hpl-opus!hpnmdla!pauls
- Newsgroups: rec.autos.tech
- References: <1992Oct12.155559.7928@tc.fluke.COM>
- Lines: 40
-
- this is a rusty analysis from my far distant thermo class:
-
- internal combustion engines defy simple analysis, but they can be
- poorly approximated by a carnot gas cycle.
-
- imagine 4 states, the expansion process is from 2-3,
- the isothermal compression from 3-4
- the isentropic compression from 4-1,
- the the isothermal expansion from 1-2
-
- carnot efficiency is given by 1-T(high)/T(low)
-
- =1-(T3/T2)
- since the working fluid is an ideal gas (our simplifying assumption),
- we have, for the isentropic process
-
- T1/T4 = (V4/V1) ** (k-1) where V is the volume, k is the specific heat.
-
- now T1 = T2, and T4 = T3, thereforeV4/V1 = V3/V2
-
- if we call CR the compresion ratio = V4/V1
-
- the efficiency is then given by 1- 1/(CR**(k-1))
-
- so the efficiency goes up as the compression ratio
-
- also, we can look at another quatity, the mean effective pressure,
- mep, which is defined as the constant pressure acting on the piston
- for its work stroke that would result in the net work of the cycle.
- it is a measure of the effectiveness of utilyssing the cylinder
- volume.
-
- mep = cycle net work / piston displacement.
-
- from what we've shown before, this can be figured out for the
- Carnot cycle, mep = Wnet/(V3-V1)
-
- hope this helped.
-
- I'm really an airplane mechanic, don't know much 'bout cars...
-