## Tv

T4 = t>T4. = trpT, afir?"1 = crpr*"1 = r re= Uj/t'j ~ =

The external work done per cycle here is w=/>3(i>3-t>2H <-vrr3 <v(/'2- /V)

R7\ «KT2+cv(Tn - T4)~ <rRT% + RTt - cv(72-7",)

= fvT1|y(t+ l)-crO> + y-l)-My-l)-l l}rc* '] (2.21) Hie heat supplied externally per cycle for 7V-- Ty is given by: Oc,, = <\(Tr- TV) + c„(T3 - r2.)

= cvT,[yr - rap-{«<y-l)^-(l-¿)}rj-11 Whilst for Tr^Tr<T,

Thus the thermal efficiency for the case 7 2VT^ 7V is given by

V yr-e<rp-(<*(Y-l) + U-e)}r: ' whilst for T2.^Tt<1\

y(rf 1)-<r(p + y-l)-{a(y- l) + l}r> ' y\j- f?irp-(l -e)^-1]

and the indicated mean effective pressure

_ _cvT,[y(r H)-cr(/>-f y - I)-{«(y - I) + I'] Pw Ofc-t*)

KTtrJLy\r < ll_ <r(p* y - I) - {a(y- 1) - '1 vt(y-íX<rr¿"l)

Hence r rc[Y(r-H)-cr(p-fy-l)-{«(y-l)-f 1}^'] (7— l)(ilTe— 1)

Evidently for regeneration to occur Ty 2- T2

Now consider some special cases (a) f 'onsiant-volume cycle Here

and since

y(t f l)-{(t/rT-')-fy-l}-{(t/r>-')(y-l) H}r^' yr — (kt/t7 vui/r^'kt-^ + o-«»!"-'

t[I ~(l/r1f"')1-(rir"1- I) rj I —(K/rv'",)|-(I ~c)r>-1

At 6 — 0 this reduces to the constant volume air standard cycle

whilst for f = I it reduces to

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