Le35 - ME 200 Thermodynamics I Lecture 35 Improving Rankine Cycle Performance with Superheat and reheat Reading Section 8.3 SP35 8.22 8.29

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Unformatted text preview: ME 200: Thermodynamics I Lecture 35: Improving Rankine Cycle Performance with Superheat and reheat Reading: Section 8.3; SP35, 8.22, 8.29 Professor Hukam Mongia Office Hours: MWF 9:30 to 10:30 AM in ME 83 Other times email for appointment; Phone: 765-494-5640 Course Website: https://engineering.purdue.edu/ME200/ Course Secretaries: Diana Akers (ME 84) and Marilyn Morrison (ME 100) Grader: Abhro Pal , [email protected] 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 1 Superheated Rankine Cycle T Superheat + Reheat Gain in h Supercritical + Reheat Highest h 2 Rankine Cycle with Super-heat qin h1' h4 ; qout h2' h3 wT h1' h2' ; wP h4 h3 wNet wT wP (h1' h2' ) (h4 h3 ) (h1' h4 ) (h2' h3 ) qin qout wNet (h1' h4 ) (h2' h3 ) qin (h1' h4 ) h2' h3 1 h1' h4 T Carnot T3 1 T1 Carnot 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 3 Saturated Rankine Cycle P, bar Tsat, oC 10 179.9 50 264 100 311.1 150 342.2 200 365.8 Exit Conditions 0.5 81.33 hf, kJ/kg 762.81 1154.2 1407.6 1610.5 1826.3 340.49 hg, kJ/kg 2778.1 2794.3 2724.7 2610.5 2409.7 2645.9 sf, kJ/kg.K sg, kJ/kg.K 2.1387 6.5863 2.9202 5.9734 3.3596 5.6141 3.6848 5.3098 4.0139 4.9269 1.091 7.5939 x 0.845 0.751 0.696 0.649 0.590 h e, k 228 207 194 183 170 Isentropic expansion. Ignore pump work. he exit enthalpy conditions : 2, 2 ', 4, 4 ' 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 4 Saturated Rankine Cycle .K x P, bar heTsat, oC , kJ/kg 0.845 10 2288.7 179.9 0.751 50 2071.4 264 0.696 100 1944.0 311.1 0.649 150 1836.1 342.2 0.590 200 1700.4 365.8 Exit Conditions 0.5 81.33 wT,f, kJ/kg qin, gkJ/kg sf, kJ/kg.K Carnot h kJ/kg h , kJ/kg sg, kJ/kg.K 489.4 762.81 2437.6 2778.1 20.08% 21.76% 2.1387 6.5863 722.9 1154.2 2453.8 2794.3 29.46% 34.01% 2.9202 5.9734 780.7 1407.6 2384.2 2724.7 32.74% 39.33% 3.3596 5.6141 774.4 1610.5 2270.0 2610.5 34.11% 42.39% 3.6848 5.3098 709.3 1826.3 2069.2 2409.7 34.28% 44.52% 4.0139 4.9269 340.49 2645.9 1.091 7.5939 x 0.8 0.7 0.6 0.6 0.5 Isentropic expansion. Ignore pump work. 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 5 850 800 750 700 650 600 550 500 450 400 0 Rankine - Saturated wT, kJ/kg P2=0.5bar; isentropic; ignore wP 50 100 P1, bar 150 200 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 6 50% 45% Rankine - Saturated Eff Carnot Cycle eff 40% 35% 30% 25% 20% 0 P2=0.5bar; isentropic; ignore w P 50 100 P1, bar 150 200 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 7 Rankine Cycle with Super-heat and Re-heat qin (h1 h6 ) (h3 h2 ) qout (h4 h5 ) wT (h1 h2 ) (h3 h4 ) wP h6 h5 wNet wT wP (h1 h2 ) (h3 h4 ) (h6 h5 ) [(h1 h6 ) (h3 h2 )] (h4 h5 ) qin qout wNet [(h1 h6 ) (h3 h2 )] (h4 h5 ) qin [(h1 h6 ) (h3 h2 )] (h4 h5 ) 1 (h1 h6 ) (h3 h2 ) Carnot T5 1 T1 ME200 Therm I Lectures 35, Prof. Mongia 8 Carnot qin (h1 h6 ) (h3 h2 ) qout (h4 h5 ) wT (h1 h2 ) (h3 h4 ) wP h6 h5 Supercritical Rankine Cycle with Re-heat wNet wT wP (h1 h2 ) (h3 h4 ) (h6 h5 ) [(h1 h6 ) (h3 h2 )] (h4 h5 ) qin qout wNet [(h1 h6 ) (h3 h2 )] (h4 h5 ) qin [(h1 h6 ) (h3 h2 )] (h4 h5 ) 1 (h1 h6 ) (h3 h2 ) Carnot T5 1 T1 ME200 Therm I Lectures 35, Prof. Mongia 9 Carnot Rankine cycle - superheat/supercritical P, bar 40 80 160 240 320 Tsat, oC 740 740 740 740 740 hg, kJ/kg 2801.4 2758 2580.6 h1, kJ/kg 3999.6 3978.7 3935.9 3892.1 3847.8 sg, kJ/kg.K sg, kJ/kg.K 6.0701 7.7141 5.7432 7.3782 5.2455 7.0251 6.8038 6.6361 x 1.018 0.967 0.913 0.879 0.853 he, 268 256 244 236 230 .K x bar P, 1.018 40 0.967 80 0.913 160 0.879 240 0.853 320 11/19/2010 he, kJ/kg Tsat, oC 2688.5 740 2569.4 740 2444.2 740 2365.8 740 2306.3 740 wg, kJ/kg hT 1311.1 2801.4 1409.3 2758 1491.7 2580.6 1526.3 1541.5 qin, kJ/kg h1 3659.1 3999.6 3638.2 3978.7 3595.4 3935.9 3551.6 3892.1 3507.3 3847.8 g, kJ/kg.Kg, kJ/kg.K s s Carnot 35.83% 65.01% 6.0701 7.7141 38.74% 65.01% 5.7432 7.3782 41.49% 65.01% 5.2455 7.0251 42.98% 65.01% 6.8038 43.95% 65.01% 6.6361 10 x 1.01 0.96 0.91 0.87 0.85 ME200 Therm I Lectures 35, Prof. Mongia 1600 1550 1500 1450 1400 1350 1300 1250 1200 Rankine - Superheat 740oC wT, kJ/kg P2=0.5bar; isentropic; ignore wP P1, bar 40 120 200 280 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 11 70% 65% 60% Rankine - Superheat Eff Carnot Cycle eff 55% 50% 45% 40% P2=0.5bar; isentropic; ignore wP 35% 40 140 P1, bar 240 11/19/2010 ME200 Therm I Lectures 35, Prof. Mongia 12 P, bar Tsat, oC hg, kJ/kg 240 740 40 740 2801.4 320 740 80 740 2758 Increased T1 to 900oC 2580.6 160 740 320 900 240 740 40 482.9 320 740 40 740 2801.4 Exit Conditions 0.5 81.33 340.49 h1, kJ/kg 3892.1 3999.6 3847.8 3978.7 3935.9 4285.1 3892.1 3406.0 3847.8 3999.6 2645.9 sg, kJ/kg.K sg, kJ/kg.K x 0.879 6.0701 6.8038 7.7141 1.018 0.853 5.7432 6.6361 7.3782 0.967 5.2455 7.0251 0.913 7.0372 0.914 6.8038 0.879 7.0372 6.6361 0.853 6.0701 7.7141 1.018 1.091 7.5939 h 23 2 23 2 2 24 2 2 26 kg.K sg, kJ/kg.K x Tsat, oC he, hg, kJ/kg T, h1, kJ/kgin, sg, kJ/kg.K sg, kJ/kg.K x kJ/kg w kJ/kg q kJ/kg Carnot P, bar he, kJ/kg 7.7141 1.018 2688.5 1311.1 35.83% 240 3892.1 3551.6 6.8038 0.879 2365.8 6.8038 0.879 2365.8 40 740 2801.4 1526.3 3999.6 3659.1 6.0701 42.98% 65.01% Super-critical 7.7141 1.018 2688.5 7.3782 0.967 2569.4 1409.3 38.74% 320 740 3847.8 3507.3 6.6361 0.853 2306.3 6.6361 0.853 2306.3 80 2758 1541.5 3978.7 3638.2 5.7432 43.95% 65.01% 7.3782 0.967 2569.4 7.0251 0.913 2444.2 160 740 3935.9 3595.4 5.2455 41.49% 65.01% 7.0251 0.913 2444.2 Increased T1 to 900oC 2580.6 1491.7 6.8038 0.879 2365.8 1526.3 42.98% 65.01% 240 740 3892.1 3551.6 6.8038 0.879 2365.8 320 900 4285.1 3944.6 7.0372 0.914 2448.5 7.0372 0.914 2448.5 1836.6 46.56% 69.78% 6.6361 0.853 1541.5 43.95% 320 740 3847.8 1st stage 7.0372 65.01% 6.6361 0.853 2306.3 40 482.9 2306.3 3406.0 3507.3 7.0372 879.1 40 740 2801.4 1311.1 3999.6 593.6 6.0701 48.26% 7.7141 1.018 Reheat 2688.5 7.7141 1.018 2688.5 Exit Conditions 2nd stage 0.5 81.33 340.49 2645.9 1.091 7.5939 7.5939 wT 1526 13 1541 14 14 15 1836 15 879. 1311 ...
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This note was uploaded on 01/13/2011 for the course ME 200 taught by Professor Gal during the Fall '08 term at Purdue University-West Lafayette.

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