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MATLAB
A N A L YSIS O F T H E G AS P O W E R SYST E MS A N D B R A Y T O N R E F R I G E R A T I O N
C Y C L E USI N G M A T4",?
A bstract: Gas power systems occur within reciprocating piston cylinder arrangements and the Gas power systems
have three cycles; otto cycle, diesel cycle and dual cycle. The components of the Brayton refrigeration are a turbine,
compressor and two heat exchangers. These systems are fundamental thermodynamic problems which can be solved
using air standard anaylsis for the undergraduate thermodynamic courses. They have some mathematical calculations
and assumptions in order to solve them analytically.
O?P%*%+E(2;;#"%0(2,,@5;'"?&,(2&0([email protected]'"?&,(52:(&?'(8"*%('/%(%R2I'(,?#@'"?&,>(K/%+%B?+%E('/%(-JKLJ!S(P2,(@,%0(
by integrating into the solution to handle the mathematical derivation and to visualize the results of the solution. This
paper presents principles of gas power systems and the Brayton refrigeration cycle, their calculations and graphs with
2( 8+2;/"I2#( @,%+( "&'%+B2I%( T6UVW( ;+%;2+%0(A:( -JKLJ!S>( 1?+( 82,( ;?P%+( ,:,'%5,( ;+?A#%5,E( '/%+%( 2+%( ,?5%( "&;@',(
such as pressures and temperatures which are defined by the user. The GUI computes them and visualizes pressurespecific volume and temperature-specific entropy graphs for each of the cycles and the Brayton refrigeration by
solving equations using the !"#$ -JKLJ!S( I?0%>( K/",( $"&0( ?B( 6UV( I2&( A%( *%+:( /%#;B@#( '? the undergraduate
students to increase their fundamental understanding of gas power systems and the Brayton refrigeration cycle
phenomena.
K eywords: Air-Standard Anaylsis, XAir, Gas power systems, Otto cycle, Diesel cycle, Dual cycle, Brayton
refrigeratio&(I:I#%E(-JKLJ!SE(6+2;/"I2#(@,%+("&'%+B2I%(T6UVW
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b2,<&9-spesifik hacim (P-v) ve ,<I2$#<$-spesifik entropi
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metoduyla P2 ve P3 bulunur. Bu metodun
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Analiz"( :2;<#2& 9%*+"5#%+"&( 8+2B"$#%+"&"&( 9"7"#5%,"(
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yaz<#5<='<+. !"#$E( 8%+%$#"( ;2+25%'+%#%+( *%+"#0"3"&0%(
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*%+0"3"( "9"&( 8+2B"$( 9"7"5"&0%( A.:.$( $?#2:#<$#2+(
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*%+"#5"='"+.
4.1. >ECHJ$&UMVI (O tto)
Resim 1. 6UV("#%(C''?(9%*+"5"(girdi penceresi
C''?( D%*+"5" 2&2#"7"( "9"&( 4&I%( 7%&: ,/4)$: ;16<)
,%9"#"+( ,?&+2 02( 9%*+"5( '.+. =../ ?#2+2$( 2:2+#2&<+>( !@(
,%9"5( :2;<#0<3<&02( 2&2#"7( "9"&( 8%+%$%&( *%+"#%+"&(
A@#@&[email protected]@( A@#@&[email protected]@( $@[email protected]@$#2+( 2$'"BE( 8%+","( pasif hale
gelecektir>(6"+"#5%,"(8%+%$%&(*%+"#%+(,<$<='<+52(,.+%I"&"&(
A2=#2&8<9( ,<I2$#<3<E( A2,<&I<( *%( /2I5"E( ekpansiyonun
!"#$%&'()*(+,*!-./0-*#/1*$2-232*45*%567282*&97:;5/2*+<(=*>?-@-*=A()B*CDEC!F*
A2=#2&8<9 ,<I2$#<3<( *%( ,<$<='<+52( ?+2&<0<+> ;">;8>"+?: 4.2. >ECHJ$&UMVI (Dizel)
A@'?&@&2(A2,<#0<3<&02(/%,2;#252#2+(A2=#2:2I2$'<+>(:
:
Resim 4. GUI ile F"7%#(9%*+"5"(8"+0"(;%&I%+%,"
F"7%#( D%*+"5"( 2&2#"7"( "9"&( 4&I%( 7%&: ,/4)$: ;16<)
,%9"#"+( ,?&+2( 02( 9%*+"5( '.+.( A#)&)< ?#2+2$( 2:2+#2&<+>(
!@( ,%9"5( :2;<#0<3<&02( 2&2#"7( "9"&( 8%+%$%&( *%+"#%+"&(
A@#@&[email protected]@( A@#@&[email protected]@( [email protected] aktif, gerisi pasif hale
8%#%I%$'"+>(6"+"#5%,"(8%+%$%&(*%+"#%+(,<$<='<+52(,.+%I"&"&(
A2=#2&8<9(,<I2$#<3<(*%(A2,<&I<E(,<$<='<+52(?+2&<(*%($%,5%(
?+2&<0<+>(
;">;8>"+?
A@'?&@&2(
A2,<#0<3<&02(
/%,2;#252#2+(A2=#2:2I2$'<+>(:
Resim 2. 6UV("#%(C''?(9%*+"5"(,?&@9(;%&I%+%,"
Resim 3. 6UV("#%(C''?(9%*+"5"(K-s ve P-f(8+2B"3"
!"+( ,.+%( A%$#%&0"$'%&( ,?&+2( ,?&@9#2+Tj<+5<7<( renkli ifadeler)
*%(8+2B"$#%+(g%,"5(Y(*%(g%,"5(c^'%([email protected]@(8"A"(84+.&5%$'%0"+>
l3%+( A2=$2( A"+( /%,2;#252( :2;<#52,<( ",'%&":?+,2( ;>?"@
A@'?&@&2( A2,<#2+2$( 789 "#$( /2#"&%( 9%*+"#%A"#"+>( l3%+( 789^0%&(
2:+<#52$(",'%&":?+,2(?!9+ A@'?&@($@##2&<#52#<0<+>
Resim 5. GUI ile F"7%#(9%*+"5" ,?&@9(;%&I%+%,"
!""
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Resim 6. GUI ile F"7%#(9%*+"5"(K-s ve P-*(8+2B"3"
!"+( ,.+%( A%$#%&0"$'%&( ,?&+2( ,?&@9#2+Tj<+5<7<( +%&$#"( "B20%#%+W(
*%(8+2B"$#%+(g%,"5(k(*%(g%,"5(a^02([email protected]@(8"A"(84+.&5%$'%0"+>
l3%+( A2=$2( A"+( /%,2;#252( :2;<#52,<( ",'%&":?+,2( ;>?"@
butonuna A2,<#2+2$( 789 "#$( /2#"&%( 9%*+"#%A"#"+>( l3%+( 789^0%&(
2:+<#52$(",'%&":?+,2(?!9+ A@'?&@($@##2&<#52#<0<+>(
Resim 8. GUI ile G$"#"(9%*+"5(,?&@9(;%&I%+%,"
4.3. >ECHJ$&UMVI W*J:K:X
Resim 9. GUI ile G$"#"(9%*+"5(K-s ve P-*(8+2B"3"
!"+( ,.+%( A%$#%&0"$'%&( ,?&+2( ,?&@9#2+Tj<+5<7<( +%&$#"( "fadeler)
*%(8+2B"$#%+(g%,"5(_(*%(g%,"5(h^02([email protected]@(8"A"(84+.&5%$'%0"+>
l3%+( A2=$2( A"+( /%,2;#252( :2;<#52,<( ",'%&":?+,2( ;>?"@
A@'?&@&2( A2,<#2+2$( 789 "#$( /2#"&%( 9%*+"#%A"#"+>( l3%+( 789^0%&(
2:+<#52$(",'%&":?+,2(?!9+ A@'?&@($@##2&<#52#<0<+>(
4.4. >ECHJ$&UMVI (M odifiyeli B rayton)
Resim 7. GUI ile G$"#"(9%*+"5(8"+0"(;%&I%+%,"
G$"#"( D%*+"5( 2&2#"7"( "9"&( 4&I%( 7%&: ,/4)$: ;16<)
,%9"#"+(,?&+2(02( 9%*+"5('.+. A'%<: ?#2+2$(2:2+#2&<+>(!@(
,%9"5( :2;<#0<3<&02( 2&2#"7( "9"&( 8%+%$%&( *%+"#%+"&(
A@#@&[email protected]@( A@#@&[email protected]@( $@[email protected]@$#2+( 2$'"BE( 8%+","( ;2,"B( /2#%(
8%#%I%$'"+>(6"+"#5%,"(8%+%$%&(*%+"#%+(,<$<='<+52(,.+%I"&"&(
A2=#2&8<9( ,<I2$#<3<( *%( A2,<&I<E( $%,5%( ?+2&<E( ,2A"'(
/2I"50%$"( $<,<5<&( A2,<&9( ?+2&<E( ,<$<='<+52( ?+2&<0<+>(
;">;8>"+?: A@'?&@&2( A2,<#0<3<&02( /%,2;#252#2+(
A2=#2:2I2$'<+>(:
Resim 10. GUI ile 5?0"B":%#"(!+2:'?&(,?3@'52(9%*+"5" girdi
penceresi
!"!
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!+2:'?&( N?3@'52( D%*+"5"( 2&2#"7"( "9"&( 4&I%( B$%1./-:
@)5$#C)$%.#/-: ;16<): ,%9"#"+>( !@( ,%9"5(
:2;<#0<3<&02( 2&2#"7( "9"&( 8%+%$%&( *%+"#%+"&( A@#@&[email protected]@(
A@#@&[email protected]@( $@[email protected]@$#2+( 2$'if, gerisi pasif hale gelecektir.
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K@&@,( J>( Dengel, Michael A. Boles, Thermodynamics
An Engineering Approach, 5th Edition, 492-493, 2005.
Eric W. Lemmon, Richard T Jacobsen & Steven G.
Penoncello, Daniel G. Friend, Thermodynamic
Properties of Air and Mixtures of Nitrogen, Argon, and
Oxygen from 60 to 2000 K at Pressure to 2000 MPa,
2000.
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