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› O¨h†Q}¥§ / QBg¥§¦©¨ 1 §OO¨ 1 ?'¥§¨ /›ROD©¨FeJ‘1 O¨ ¨G…©› O¨h†Q}¥§ / QBg¥§¦©¨ 1 §OO¨ 1 ?'¥§¨ /›ROD©¨¤šA‘1 O¨4 /_1 ?'¥§¨ / ¨ / ¨ 1 §'¥§¨¨G…©† ‘ › O¨h€Q}¥§ / QBP¥§¦©¨¦©O©D¨ 1 ?'¥§¨ /›ROD©¨1 O¨ ¨G…©›ROD©¨œ&‘ŽpO©D¨ 1 ?'¥§¨ / ¨G…© 1 O¨›ROD©ẍ–¥‘ŽŒR§OO¨ 1 ?'¥§¨ / ¨G…© 1 O¨10.450.40.35View Factor Fij0.1X=0.10.01X=0.2X=0.4X=0.6X=1.0X=2.0X=10.0analytical0.0010.1 1 10 100Y - Aspect ratioView Factor Fij0.30.250.2L=0.10.15L=0.2L=0.40.1L=0.6L=1.00.05L=2.0L=10.0analytical00.1 1 10 100N - Aspect ratio10.90.8Finite ElementAnalytical0.001View Factor Fij0.70.60.50.40.30.20.100 1 2 3 4 5 6 7 8 9 10 11Separation distancelog|(Fexact-FEM)/Fexact|0.0001L=0.1L=0.2L=0.4L=0.6L=1.0L=2.01e-0050.1 1 10 100N - Aspect ratio›ROD©¨ ‰ ‘w z 1 ¨„¥§+¥§¦©¨C3


¦A‘ c ¨ 1 ¨§'¥§©ö¡¥§© / OC¥§¦©öe©O7i›ROD©¨1 ¨OO@O3‰¥§O@¨ / ¥§¨ 1'¥pw … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)––¥‘O¨z–4QBg©l¡'¥§¨ƒO©@O©O© O©©¨p©C©l1w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–{eJ‘O¨ –„QB+¡'¥§¨¢O©@O©O© O©©¨!©€©l1Nondimensional Temperature10.80.60.40.2Fin. Elem. t=0.01 sFin. Elem. t=0.05 sFin. Elem. t=0.10 sFin. Elem. t=0.30 sFin. Elem. t=1.22 sFin. Diff. t=0.01 sFin. Diff. t=0.05 sFin. Diff. t=0.10 sFin. Diff. t=0.30 sFin. Diff. t=1.22 sAnalytical t=0.01 sAnalytical t=0.05 sAnalytical t=0.10 sAnalytical t=1.10 s00 0.2 0.4 0.6 0.8 1Nondimensional Coordinate›ROD©¨ Š ‘l©O@¨ / O3=¥§¨ 1 ¨§'¥§©¨_ŠlŒA‘ ’ // l / ¨¥§OƒQj¥§¦©ö¨G… 1 ¨O@¨¡¥7›ROD©¨@–/ ¦©uh_O©DL¥§¦©¨zO5'¥§OƒQŽ¥§¦©¨¥§¦©¨@l©©¥'¥§OLQjO©D¥§¦©¨4¨¡¥§¨OO©¨1 O¨ / – s e©¨šNondimensional Temperature0.50.450.40.350.30.250.20.150.1Fin. Elem.Fin. Diff.0.05Fin. Diff.Analytical00 0.2 0.4 0.6 0.8 1Time (s)Temperature (Deg. Cel.)Thermocouple 1: Un-coated aluminium innerand un-coated outer cylinder radius = 36.474 mm500450400350300250200150100500 400 800 1200 1600 2000 2400Time (s)T=100 CT=200 CT=300 CT=400 CT=500 CAmbient›ROD©¨ 6 ‘l©O@¨ / O3‹¥§¨ 1 ¨§'¥§©ö¨.l/ / ¥§O@¨~'¥g¥§¦©¨4¨¡¥§ÄQ ¥§¦©¨4e©O7i¡'¥§¨mO©@O©O©=¥§¨_§©O / š ‰ ‡ œ Š¥Š @FEMGV 6.1-02 : <strong>University</strong> College Swansea14-APR-2000 16:57 brick300299299298298298297297296296Temperature (Deg. Cel.)Thermocouple 1: Coated aluminium innerand un-coated outer cylinder radius = 36.474 mm500450400350300250200150100500 400 800 1200 1600 2000 2400Time (s)T=100 CT=200 CT=300 CT=400 CT=500 CAmbient¡'¥§¨mO©@O©O©=¥§¨_§©O / š ‰ ‡ œ Š œz@¦


šA‘ w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–O¨z–~QB_©l¡'¥§¨mO©@O©O© O©©¨p©C©l1w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–kœ&‘O¨6eoQB_©l¡'¥§¨mO©@O©O© O©©¨p©C©l1† ‘ w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–O¨ e QB ¡'¥§¨¡O©@O©O© O©©¨!©€©l1‰ ‘ w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–O¨6exQBg©l¡'¥§¨ƒO©@O©O© O©©¨p©C©l1Š ‘ w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–O¨FšQBg©l¡'¥§¨ƒO©@O©O© O©©¨p©C©l16 ‘ w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–O¨ –„QB+¡'¥§¨¢O©@O©O© O©©¨!©€©l1Temperature (Deg. Cel.)Thermocouple 1: Un-coated aluminium innerand un-coated outer cylinder radius = 23.774 mm500450400350300250200150100500 400 800 1200 1600 2000 2400Time (s)T=100 CT=200 CT=300 CT=400 CT=500 CAmbientTemperature (Deg. Cel.)50045040035030025020015010050Thermocouple 3: Un-coated aluminium innerand un-coated outer cylinder radius = 23.774 mm0 400 800 1200 1600 2000 2400Time (s)T=100 CT=200 CT=300 CT=400 CT=500 CAmbient=¥§¨g§©O / eDš ‡ Š¥Š œ@¡'¥§¨mO©@O©O©=¥§¨_§©O / eDš ‡ Š¥Š œz@¡'¥§¨mO©@O©O©Temperature (Deg. Cel.)500450400350300250200150100Thermocouple 2: Un-coated aluminium innerand un-coated outer cylinder radius = 36.474 mmT=100 CT=200 CT=300 CT=400 CT=500 CAmbientTemperature (Deg. Cel.)500450400350300250200150100Thermocouple 3: Un-coated aluminium innerand un-coated outer cylinder radius = 36.474 mmT=100 CT=200 CT=300 CT=400 CT=500 CAmbient50500 400 800 1200 1600 2000 2400Time (s)0 400 800 1200 1600 2000 2400Time (s)¡'¥§¨mO©@O©O©=¥§¨_§©O / š ‰ ‡ œ Š¥Š @=¥§¨g§©O / š ‰ ‡ œ Š¥Š @¡'¥§¨mO©@O©O©Temperature (Deg. Cel.)500450400350300250200150100Thermocouple 2: Coated aluminium innerand un-coated outer cylinder radius = 36.474 mmT=100 CT=200 CT=300 CT=400 CT=500 CAmbientTemperature (Deg. Cel.)500450400350300250200150100Thermocouple 3: Coated aluminium innerand un-coated outer cylinder radius = 36.474 mmT=100 CT=200 CT=300 CT=400 CT=500 CAmbient50500 400 800 1200 1600 2000 2400Time (s)0 400 800 1200 1600 2000 2400Time (s)¡'¥§¨mO©@O©O©=¥§¨_§©O / š ‰ ‡ œ Š¥Š @¡'¥§¨mO©@O©O©=¥§¨g§©O / š ‰ ‡ œ Š¥Š @– Œ


w … 1 ¨O@¨¡¥7Ž¨ / ©¥ / ¥§¦©¨@l›ROD©¨)–¦A‘O¨z–~QB_©l¡'¥§¨mO©@O©O© O©©¨p©C©l1Temperature (Deg. Cel.)50045040035030025020015010050Thermocouple 3: Un-coated aluminium innerand un-coated outer cylinder radius = 23.774 mmT=100 CT=200 CT=300 CT=400 CT=500 CAmbientTemperature <strong>of</strong> outer cylinder (Deg. Cel.)50045040035030025020015010050Steady state resultsExperimental and numerical comparisonsExp 1 TC 1Exp 2 TC 1Exp 3 TC 1Wintherm e=.1Network e=.9 R2=50.8 mmNetwork e=.1 R2=76.2 mm0 400 800 1200 1600 2000 2400Time (s)00 50 100 150 200 250 300 350 400 450 500Temperature <strong>of</strong> fire rod (Deg. Cel.)›ROD©¨Ve¥eJ‘w … 1 ¨O@¨¡¥7¨ / /


† ‘ c § / O¨¡¥[› w ¨ / ©¥ / ¨ / / ¨G… 1 ¨.l›ROD©¨]es ©©©¥§Ä¦©¨5'¥§O©DQRO©©¨_OO©©¨O@¨¡¥‰ ‘ c § / O¨¡¥[› w ¨ / ©¥ / ¨ / / ¨G… 1 ¨.l›ROD©¨]es §©?'¥§¨P¦©¨5'¥§O©DzQR=¥§¨_OO©©¨O@¨¡¥Š ‘ c § / O¨¡¥[› w ¨ / ©¥ / ¨ / / ¨G… 1 ¨.l›ROD©¨]es ©©©¥§Ä¦©¨5'¥§O©DQRO©©¨_OO©©¨O@¨¡¥›ROD©¨]e 6 ‘ › w @¨ / ¦ / ¨xQBR¨G… 1 ¨O@¨¡¥7OD¦A‘@yp©?'¥§¨@¦©¨5'¥ T …Uh_¥§¦U¥§¦©¨L› w›ROD©¨e@©¨’ ¡¨¥§¨L¦©¨5'¥ T …UO!h_¥§¦!¥§¦©¨›ROD©¨,š¥ŒA‘w @©¨ ›Finite Element versus ExperimentalOuter cylinder temperature (Conductive+Convective-Radiative)Temperature (Deg. Cel.)500450400350300250200150100500 200 400 600 800 1000Time (s)Exp T=100FEM T=100Exp T=300FEM T=300Exp T=500FEM T=500FEMGV 6.1-02 : <strong>University</strong> College SwanseaYZ X9-MAY-2000 15:50 exprig_mesh.ps500Finite Element versus ExperimentalOuter cylinder temperature (Radiative)FEMGV 6.1-02 : <strong>University</strong> College Swansea9-MAY-2000 15:51 radfluxrig.ps450400Temperature (Deg. Cel.)35030025020015010050Exp T= 100FEM T=100Exp T= 300FEM T=300Exp T= 500FEM T=500YZX.258E-4.232E-4.206E-4.18E-4.155E-4.129E-4.103E-4.773E-5.515E-5.258E-50 200 400 600 800 1000Time (s)500450Outer cylinder temperatures for T=500FEMGV 6.1-02 : <strong>University</strong> College Swansea9-MAY-2000 15:52 confluxrig.ps400Temperature (Deg. Cel.)350300250200150100500 200 400 600 800Time (s)FEM e=0.1FEM e=0.9Un-coatedCoatedYZX-.498E-2-.996E-2-.149E-1-.199E-1-.249E-1-.299E-1-.349E-1-.399E-1-.448E-1-.498E-1–{e


Xc ¨ 1 ¨§'¥§©¨L¡¥§© / Or¥§¦©¨LOD›ROD©¨š=–¥‘/ ¥§¨ 1 ¥ ( š † /'¥g¥§O@¨š=eJ‘ c ¨ 1 ¨§'¥§©¨g¡¥§© / Ox¥§¦©¨ge©O7i›ROD©¨/ ¥§¨ 1 ¥ ( 6I6 /'¥p¥§O@¨† ‘ w … 1 ¨O@¨¡¥7j¨ / ©¥ /s ©‰¥§¨ / Q›ROD©¨cšc ¦©¨@ T ©O /s ¥7i¨8'¥œ¨D©? O¡¥§¨‰ /tAA’‰ ‘x› w ¨ / ©¥ / '¥A¥§¦©¨z233Ž¥§O@¨ / ¥§¨ 1›ROD©¨,š/ / Q ¥§¦©¨6§~©@¨~¨G…=¦3 / ¥6©¥¡¦¡O¨OL¥§¦©Ä3FEMGV 6.1-02 : <strong>University</strong> College Swansea9-MAY-2000 16:04 temp35.psFEMGV 6.1-02 : <strong>University</strong> College Swansea9-MAY-2000 15:46 gnome_mesh.psYZ10092.885.678.571.364.156.949.742.535.428.221XYZGnome meshšDœ&‘z› w @¨ / ¦r / ¨„OU¥§¦©¨83 / / Q›ROD©¨/ ¥6©¥¡¦¡O¨¥§¦©¨Q§~©@¨P¨G…=¦3FEMGV 6.1-02 : <strong>University</strong> College SwanseaYZX9-MAY-2000 16:05 temp88.ps10092.885.678.571.364.156.949.742.535.428.221Temperature (Deg. Cel.)GNOME Experimental and numerical comparisons500450400350300250200150Finite Element100nozzleshroud50shroudshroud00 50 100 150 200 250 300 350Distance down nozzle mmO©D¥§¦©¨4=¥§¨ / ©‰Q}ÄQ ¥§¦©¨4©¥¡¦¡O¨FEMGV 6.1-02 : <strong>University</strong> College Swansea15-MAY-2000 08:51 gnomecontres.epsModel: RESULTLCAS25Nodal THERMALT TEMPERATMax = 480 Min = 115ZYX420400370350300200160150130120110¦©¥§D§ 1 ¦+Q[!¨G…=¦3 / ¥A©¥¡¦¡O¨›ROD©¨cš¥šA‘4Œ§4 / c ©e©O©¨ s ©‰¥§¨ / '¥¥77¦©¨4¥§g¥§¦©¨§~©@¨Qjv w y_{– š

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