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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+// Display mode
+mode(0);
+// Display warning for floating point exception
+ieee(1);
+clear;
+clc;
+disp("Engineering Thermodynamics by Onkar Singh Chapter 8 Example 15")
+disp("Let us carry out analysis for 1 kg of steam generated in boiler.")
+disp("Enthalpy at inlet to HPT,h2=2960.7 KJ/kg,s2=6.3615 KJ/kg K")
+h2=2960.7;
+s2=6.3615;
+disp("state at 3 i.e. exit from HPT can be identified by s2=s3=6.3615 KJ/kg K")
+s3=s2;
+disp("Let dryness fraction be x3,s3=6.3615=sf at 2 bar+x3*sfg at 2 bar")
+disp("so x3=(s3-sf)/sfg")
+disp("from stem tables,at 2 bar,sf=1.5301 KJ/kg K,sfg=5.5970 KJ/kg K")
+sf=1.5301;
+sfg=5.5970;
+x3=(s3-sf)/sfg
+x3=0.863;//approx.
+disp("h3=2404.94 KJ/kg")
+h3=2404.94;
+disp("If one kg of steam is generated in bolier then at exit of HPT,0.5 kg goes into process heater and 0.5 kg goes into separator")
+disp("mass of moisture retained in separator(m)=(1-x3)*0.5 kg")
+m=(1-x3)*0.5
+disp("Therefore,mass of steam entering LPT(m_LP)=0.5-m kg")
+m_LP=0.5-m
+disp("Total mass of water entering hot well at 8(i.e. from process heater and drain from separator)=(0.5+0.685)=0.5685 kg")
+disp("Let us assume the temperature of water leaving hotwell be T oc.Applying heat balance for mixing;")
+disp("(0.5685*4.18*90)+(0.4315*4.18*40)=(1*4.18*T)")
+disp("so T=((0.5685*4.18*90)+(0.4315*4.18*40))/4.18 in degree celcius")
+T=((0.5685*4.18*90)+(0.4315*4.18*40))/4.18
+disp("so temperature of water leaving hotwell=68.425 degree celcius")
+disp("Applying heat balanced on trap")
+disp("0.5*h7+0.0685*hf at 2 bar=(0.5685*4.18*90)")
+disp("so h7=((0.5685*4.18*90)-(0.0685*hf))/0.5 in KJ/kg")
+disp("from steam tables,at 2 bar,hf=504.70 KJ/kg")
+hf=504.70;
+h7=((0.5685*4.18*90)-(0.0685*hf))/0.5
+disp("Therefore,heat transferred in process heater=0.5*(h3-h7)in KJ/kg steam generated")
+0.5*(h3-h7)
+disp("so heat transferred per kg steam generated=1023.175 KJ/kg steam generated")
+disp("For state 10 at exit of LPT,s10=s3=s2=6.3615 KJ/kg K")
+s10=s3;
+disp("Let dryness fraction be x10")
+disp("s10=6.3615=sf at 0.075 bar+x10*sfg at 0.075 bar")
+disp("from steam tables,at 0.075 bar,sf=0.5764 KJ/kg K,sfg=7.6750 KJ/kg K")
+sf=0.5764;
+sfg=7.6750;
+disp("so x10=(s10-sf)/sfg")
+x10=(s10-sf)/sfg
+x10=0.754;//approx.
+disp("h10=hf at 0.075 bar+x10*hfg at 0.075 bar")
+disp("from steam tables,at 0.075 bar,hf=168.79 KJ/kg,hfg=2406.0 KJ/kg")
+hf=168.79;
+hfg=2406.0;
+disp("so h10=hf+x10*hfg in KJ/kg ")
+h10=hf+x10*hfg
+disp("net work output,neglecting pump work per kg of steam generated,")
+disp("w_net=(h2-h3)*1+0.4315*(h3-h10) in KJ/kg steam generated")
+w_net=(h2-h3)*1+0.4315*(h3-h10)
+disp("Heat added in boiler per kg steam generated,q_add=(h2-h1)in KJ/kg")
+q_add=(h2-4.18*68.425)
+disp("thermal efficiency=w_net/q_add")
+w_net/q_add
+disp("in percentage")
+w_net*100/q_add
+disp("so Thermal efficiency=27.58%")