TEST3_Solution

TEST3_Solution - Name: Lyc; J€C M Page U4 .9 ME 37203...

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Unformatted text preview: Name: Lyc; J€C M Page U4 .9 ME 37203 Intro Fluid Thermo Eng — Spring 2008 Test #3 (March 10, 08:05 — 08:55 am, open textbook only) You do no! need rofollow any specific procedure. Use a hand—held calculator. Use margins to write down your derivations clearly Problem 1. (50 pt) Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 8.0 MP3, and saturated liquid exits the condenser at a pressure of (100 kPa. (i) (10 pt} Draw the T—s diagram of this cycle. Clearly indicate the saturation dome and the four states of the working fluid. 2 eHd . PT K'L' -'.‘_[c)\ > 3‘ (ii) (10 pt} Determine the quality of water at the turbine exit. I, - * c" i'." Answer: L i 7‘( /(7/ —- a E- w 3-»: {,7 . K . . ’ . ) ' _ _ fl (at. (1 - L" f '2 2m \ 2,2 ’3 false 5743/4) s7,- 7 a. w’? r— 5—7- "if": ‘ 7- _ {‘T/Ay-lxi J ‘7/ [7’5 " fl” .5: '— / if?!) -- _ U f c" M ‘75/ (iii) (10 pt) Calculate the work done by the turbine per unit mass flow. Answer: 45d 6" - C [kl/kg] Iii-'11; <1”— flf fir-(Cr mu 4/ Name: 4,» 7) Page 2M (iv) (10 pt) Determine the heat transfer, Qin Hi: into the working fluid as it passes thrOugh the boiler. ' “Swag-72743— [kakg] 6cm Aft ‘: hurl-w I Q h; + 113 (F4 : {fiejgjt /. IOoKX/O (€060~da/ —— 575?. 76- be 173 -= 5 7c . é! WHO? _ r_ I _.3 .. 7,13: /. mag/rm 3 M/é/ (v) (10 pt) Calculate the thermal efficiency of this cycle. Answer: Lift/h; — we ,9; (In—gt)? (fir/7:) ? fl/ “Aft 4&1;- -— guy 20?? ’3 2 2077’? % Problem 2. (30 pt) For the stationary unknown fluid fluid shown in the right figure, the absolute pressure at point A is 200 1m kPa and that at point B is 220 kPa. The density of water is 1000 kgr’m‘l and g=9.81ms’sz. 2m p=lSOO kgfm3 p3 =220 kPa Name: Pitta 4’? M Page 32’4 (i) (10 pt) Detennine the absolute pressure at point 1. Answer: / ?C(’ [kPa] Parr/7f + 36- r‘2 A :00 X $48M? , /z X/ Ag: fl: X00 “ /550 s, MAM £51 (ii) (10 pt) Determine the absolute pressure at point 2. M [kPa] Answer: I73: B. was ffochQ-g/X»? 1. /(/m(§7 5% E : “225) a — #2743 (iii) (10 pt) What is the density ofthe unknown fluid? Answer: [kg/m3] Z -: fl +3442: //‘000 (Jet '= /,5‘?0C7 (flJ/€ ) t “5'0? é; fit-1756‘}? Name: Page 42’4 9,. Problem 3. (20 pt) Water flows from a tank that has a hole as shown in the ----- ~- v / right figure with negligible viscous effects. The density of water is 3 _ 52 1000 kgx’m and g—9.81mfs . water 5 m D = 0.1 m '2;— 1 m (i) (10 pt) Determine the velocity of water exiting through the hole. Answer: 9‘66 [mfs] P1 + ég’l/ult 3’5: 7 Pg +31—(J1/57L r81 fire/9‘2 W { eye) "__I' l ‘ 2‘: 3/{8’l21 L-‘iflc > AKi/z- )7 ) V2“— VW t ell?£/X8 = 6.8% )4/5 (ii) (10 pt) Calculate the mass flow rate of water passing through the hole. Answer: [kg/s] x 7;- CL 771 “3 play-'9 : M05 x 995 X T/CMU ~= 6W ...
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This note was uploaded on 04/28/2008 for the course ME 3720 taught by Professor Lee during the Spring '08 term at Georgia Tech.

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TEST3_Solution - Name: Lyc; J€C M Page U4 .9 ME 37203...

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