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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(%Q@2'"?&,(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/",( $"&0( ?B( 6UV( I2&( A%( *%+:( /%#;B@#( '? the undergraduate
students to increase their fundamental understanding of gas power systems and the Brayton refrigeration cycle
phenomena.
K eywords: Air-Standard Anaylsis, XAir, Gas power systems, Otto cycle, Diesel cycle, Dual cycle, Brayton
refrigeratio&(I:I#%E(-JKLJ!SE(6+2;/"I2#(@,%+("&'%+B2I%(T6UVW
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4.1. >ECHJ$&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@#@&0@3@( A@#@&0@3@( $@'@I@$#2+( 2$'"BE( 8%+","( pasif hale
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A2=#2&8<9( ,<I2$#<3<E( A2,<&I<( *%( /2I5"E( ekpansiyonun
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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@#@&0@3@( A@#@&0@3@( $@tucuklar aktif, gerisi pasif hale
8%#%I%$'"+>(6"+"#5%,"(8%+%$%&(*%+"#%+(,<$<='<+52(,.+%I"&"&(
A2=#2&8<9(,<I2$#<3<(*%(A2,<&I<E(,<$<='<+52(?+2&<(*%($%,5%(
?+2&<0<+>(
;">;8>"+?
A@'?&@&2(
A2,<#0<3<&02(
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Resim 2. 6UV("#%(C''?(9%*+"5"(,?&@9(;%&I%+%,"
Resim 3. 6UV("#%(C''?(9%*+"5"(K-s ve P-f(8+2B"3"
!"+( ,.+%( A%$#%&0"$'%&( ,?&+2( ,?&@9#2+Tj<+5<7<( renkli ifadeler)
*%(8+2B"$#%+(g%,"5(Y(*%(g%,"5(c^'%(?#0@3@(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"$#%+(g%,"5(k(*%(g%,"5(a^02(?#0@3@(8"A"(84+.&5%$'%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"
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*%(8+2B"$#%+(g%,"5(_(*%(g%,"5(h^02(?#0@3@(8"A"(84+.&5%$'%0"+>
l3%+( A2=$2( A"+( /%,2;#252( :2;<#52,<( ",'%&":?+,2( ;>?"@
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2:+<#52$(",'%&":?+,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)$: ;16<)
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A2=#2&8<9( ,<I2$#<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@#@&0@3@(
A@#@&0@3@( $@'@I@$#2+( 2$'if, gerisi pasif hale gelecektir.
Girilmesi gereken veriler /2*2&<&('.+A"&%(*%(+%H%&%+2'4+%(
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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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