!""""""     !        !  q'qqqA'Example 5-3: Two-Shaft Regenerative gas turbine calculation "VALUE" EQUATION!'air isentropic exponent = k "given'(k-1)/k = e,a!$I$I? '(k-1)/k)'compressor inlet temperature = T1,R "given"'compressor efficiency = etac  "given)'gas gen. turbine efficiency = etatg'  "given&'power turbine efficiency = etatp'  "given# 'compressor pressure ratio = r   "given. 'compressor isentropic exit temp. = T2s,R# P@  '+T1r^e,a& 'compressor true exit temp.= T2,R+ . @  '+T1+(T2s-T1)/etac! 'compressor work = Wc,Btu/lb! 8  '0.24(T1-T2). 'combustor fractional pressure drop = fpl  "given.'available turbine pressure ratio = p3/p1!PQ@  'r(1-fpl)'turbine inlet temp = T3,R "given&'hot gas isentropic exponent = kgާ? "given'(kg-1)/kg = e,g!j?'(kg-1)/kg,'hot gas heat capacity = cp,g, Btu/lb-Rx $(~? "given*'work factor (intermediate var.) = wf+`ص 'Wc/(etatg*cp,g*T3)+'gas gen. turbine pressure ratio = rtg*p`zP@'1/[1+wf]^(1/e,g)('power turbine pressure ratio = rtp`6=5@'r(1-fpl)/rtg)'GG turbine isen. exit temp. = T4s,R#`Nfض @'T3/(rtg)^e,g''GG turbine true exit temp. = T4,R+@G8N @'T3-etatg(T3-T4s),'Power turbine isen. exit temp. = T5s,R#/ֳ @'T4/(rtp)^e,g+'Power turbine true exit temp. = T5,R +ع_YE @'T4-etatp(T4-T5s)$'Power turbine work = Wt,Btu/lb$@pSi܃@'cp,g(T4-T5)('regenerator effectiveness = etareg 'given('combustor inlet temperature = Tc,R+@7 @  'T2+etareg(T5-T2)''regenerator gas exit temp. = Te,R/Z; @ 'T5-0.24(Tc-T2)/cp,g*'combustor heat addition = Qa, Btu/lb$8f@'cp,g(T3-Tc)'net work = Wn,Btu/lb@pSi܃@'Wt 'thermal efficiency 5]? 'Wn/Qa!'work ratio!!{ ? !!'1+Wt/|Wc|