Show that the air standard efficiency for Ericsson cycle is given by-T) In(r,)()Тн 1+ In(rp)((ТH- TLwhere TH and T, are the maximum and minimum temperatures of the cycle, andis the pressureГрratio. Hint: No Regenerator is used here.Show that the air standard efficiency for Starling cycle without regenerator is given by(-1)+-1) n(r)(T-1)1)n(r)n=1 -where r is the compression ratio and is the maximum and minimum temperature ratio.(рн — PLr)(1 — -DShow that the mean effective pressure (mep) pm for the Otto cycle is given by pm =(-1)(r - 1)Net Work outputSwept Volumewhere pH max, PL = Pmin and r = compression ratio (CR). Hint: pm

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Asked Nov 13, 2019
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solve the last question about otto cycle.

Show that the air standard efficiency for Ericsson cycle is given by
-T) In(r,)()
Тн 1+ In(rp)(
(ТH
- TL
where TH and T, are the maximum and minimum temperatures of the cycle, and
is the pressure
Гр
ratio. Hint: No Regenerator is used here.
Show that the air standard efficiency for Starling cycle without regenerator is given by
(-1)+-1) n(r)
(T-1)1)n(r)
n=1 -
where r is the compression ratio and is the maximum and minimum temperature ratio.
(рн — PLr)(1 — -D
Show that the mean effective pressure (mep) pm for the Otto cycle is given by pm =
(-1)(r - 1)
Net Work output
Swept Volume
where pH max, PL = Pmin and r = compression ratio (CR). Hint: pm
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Show that the air standard efficiency for Ericsson cycle is given by -T) In(r,)() Тн 1+ In(rp)( (ТH - TL where TH and T, are the maximum and minimum temperatures of the cycle, and is the pressure Гр ratio. Hint: No Regenerator is used here. Show that the air standard efficiency for Starling cycle without regenerator is given by (-1)+-1) n(r) (T-1)1)n(r) n=1 - where r is the compression ratio and is the maximum and minimum temperature ratio. (рн — PLr)(1 — -D Show that the mean effective pressure (mep) pm for the Otto cycle is given by pm = (-1)(r - 1) Net Work output Swept Volume where pH max, PL = Pmin and r = compression ratio (CR). Hint: pm

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Expert Answer

Step 1

In Otto cycle there is two constant volume heat addition & rejection process and two isentropic compression and expansion process. PV diagram is shown below,

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Pg 3 PP max V=C S=C P 2 V= Constant S=C V -

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Step 2

For process 1-2 (isentropic compression process):

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& Т, Ti Compres sion ratio, р. 2 р. Т, (7.)* -(1) Р. & Р. v P2 () (2)

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Step 3

For process 2-3 constant volume...

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213& PV2 _ P3 Т, Т, T3 Р. plugging the value of T, & p, from equation 1& 2 Р, P.(7) Р. r - (3)

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