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Technical Paper ISSN 2383-4986 International Journal of Aerospace System EISSN 2508-7169 Vo l . 6, No.2, pp.11-16 (2019) http://dx.doi.org/10.20910/IJASE.2019.6.2.11

System Analysis of a Cycle

ٻ Won Kook Cho*ˋ and Chun IL Kim** * Team, Korea Aerospace Research Institute 169-84, Gwahak-ro, Yuseong-Gu, Daejeon, 34133 KOREA †E-mail:[email protected] **Department of Mechanical Engineering, University of Alberta 9211 116 St. NW, Edmonton, AB, Canada, T6G 1H9

Abstract

A system analysis program has been developed for a gas generator cycle liquid rocket engine of 30 ton class. Numerical models have been proposed for a , a , a gas generator and pressure drop through a regenerative cooling system. Numerical algorithm has been validated by comparing with the published data of MC-1. The major source of error is not the numerical algorithm but the imperfect performance models of subsystems. So the precision of the program can be improved by revising the performance models using experimental data. The sea level specific and vacuum have been demonstrated for a 30 ton class gas generator engine. The optimal condition of combustor pressure and mixture ratio for specific impulse which is a typical characteristic of a gas generator cycle engine has been illustrated.

Key Words : Liquid rocket engine, Gas generator cycle, System Analysis, Optimal Condition, Specific Impulse

1. Introduction ™Œ˜œ™Œ‹UG {ŒšŒG ”–‹Œ“šG ˆ™ŒG ”ˆ›Œ”ˆ›Šˆ“G ™Œ“ˆ›–•šG ‰Œ›žŒŒ•G ‹ŒšŽ•G ˆ™ˆ‰“ŒšG ˆ•‹G ›ŒG šœ‰š š›Œ”šG hG “˜œ‹G ™–Š’Œ›G Œ•Ž•ŒG šG ‹Œ•Œ‹G ˆšG ˆG ”ˆŠ•ŒG —Œ™–™”ˆ•ŠŒšG žŠG ˆ™ŒG ›Œ–™Œ›Šˆ““ G Šˆ“Šœ“ˆ›Œ‹G –™G ŽŒ•Œ™ˆ›•ŽG ›™œš›G ž›–œ›G —™–—Œ““ˆ•›G šœ——“Œ‹G ™–”G ŒŸ—Œ™”Œ•›ˆ““ GŒš›”ˆ›Œ‹UG{ŒGš š›Œ”Gˆ•ˆ“ ššGŽŒšG –œ›š‹ŒUG {ŒG š›ˆ™›•ŽG —–•›G –G ‹ŒŒ“–—”Œ•›G šG ›ŒG š š›Œ”G —Œ™–™”ˆ•ŠŒG ™–”G ›ŒG Š–”‰•ˆ›–•G –G ŽŒ•Œ™ˆ›•ŽG šœ‰š š›Œ”G š—ŒŠŠˆ›–•šG šˆ›š •ŽG ›ŒG “–žŒ™G “ŒŒ“G Š–”—–•Œ•›šG —Œ™–™”ˆ•ŠŒšUG {ŒG ”ˆ‘–™G ™Œ˜œ™Œ”Œ•›šG ™–”G ›ŒG ŽŒ™G “ŒŒ“G š š›Œ”UG {ŒG ™Œšœ“›šG ˆ™ŒG ›™œš›SG š—ŒŠŠG ”—œ“šŒSG ›™œš›G ›–G ”ˆššG –‰‘ŒŠ›ŒG–G›ŒG—™ŒšŒ•›Gš›œ‹ GšG›–G‹ŒŒ“–—GˆGš š›Œ”G ™ˆ›–SGŒ•Œ“–—ŒGˆ•‹GŒ›ŠUG{ŒG‹ŒŒ“–—”Œ•›G—Œ™–‹šG–™G ˆ•ˆ“ ššG —™–Ž™ˆ”G –G ˆG ŽˆšG ŽŒ•Œ™ˆ›–™G Š Š“ŒG Œ•Ž•ŒG ‰œ‹ŽŒ›GšGš–”Œ›”ŒšG—™Œ‹Š›Œ‹GˆšGˆG š š›Œ”Gˆ•ˆ“ ššG žŠG šG Š–”—–šŒ‹G –G ˆG Š–”‰œš›–•G Šˆ”‰Œ™G ›–G ™Œšœ“›šUG p•G ›ŒG —™ŒšŒ•›G š›œ‹ SG ›ŒG š š›Œ”G ˆ•ˆ“ ššG ŽŒ•Œ™ˆ›ŒG›™œš›SGˆG›œ™‰–—œ”—G›–G—™Œššœ™¡ŒG—™–—Œ““ˆ•›SG ™Œšœ“›šG ˆ™ŒG Š–••Œ‹G ˆšG —œ™Œ“ G ›ŒŠ•Šˆ“G ˆG ŽˆšG ŽŒ•Œ™ˆ›–™G ›–G ‹™ŒG ˆG ›œ™‰•ŒSG ˆG ™ŒŽŒ•Œ™ˆ›ŒG —Œ™–™”ˆ•ŠŒšUG{–œŽG›ŒGš š›Œ”Gˆ•ˆ“ ššG–GˆG“˜œ‹G Š––“•ŽG š š›Œ”G ˆ•‹G Œ›ŠUG ~Œ•G ›ŒG ™Œ˜œ™Œ‹G ™–Š’Œ›G ™–Š’Œ›G Œ•Ž•ŒG šG ž‹Œ“ G œšŒ‹SG ›G šG ˆ™‹G ›–G •‹G ›ŒG Œ•Ž•ŒG šG Š–”—“Œ›Œ“ G •ŒžSG ›Œ™ŒG šG •–G ˆˆ“ˆ‰“ŒG ˆ•ˆ“ ššG ”Œ›–‹G žŠG šG ˆ——“Œ‹G ›–G ˆG ™Œˆ“G ™–Š’Œ›G —Œ™–™”ˆ•ŠŒG •–™”ˆ›–•G –G šœ‰š š›Œ”šG ›–G ˆ•ˆ“ ¡ŒG Œ•Ž•ŒG OšŒŒG Šˆ—›Œ™G ZUXG –™G ™Œ“ˆ›Œ‹G Š–•›Œ•›šPUG {ŒG ›ŒG Œ•Ž•ŒG š š›Œ”G —Œ™–™”ˆ•ŠŒUG p•G ›šG ŠˆšŒSG —™ŒšŒ•›G—ˆ—Œ™G—™ŒšŒ•›šG›ŒGŒ™Œ‹Gˆ•ˆ“ ššG”Œ›–‹G ”ˆ›Œ”ˆ›Šˆ“G”–‹Œ“šG–Gšœ‰š š›Œ”šG—Œ™–™”ˆ•ŠŒGˆ™ŒG ˆ•‹G ›ŒG ˆ——“Šˆ›–•G ŒŸˆ”—“ŒG –™G –—›”ˆ“G –—Œ™ˆ›•ŽG Š–•‹›–•G –™G šŒˆG “ŒŒ“G š—ŒŠŠG ”—œ“šŒG ˆ•‹G ˆŠœœ”G Received: Jun. 27, 2018 Revised: Oct. 11, 2019 š—ŒŠŠG”—œ“šŒUG Accepted: Oct. 15, 2019 G † Corresponding Author Tel: +82-42-860-2937, E-mail: [email protected] ⡧ The Society for Aerospace System Engineering 12 Won Kook Cho · Chun IL Kim

2. Literature survey

hG š š›Œ”ˆ›ŠG ˆ•ˆ“ ššG –G “˜œ‹G ™–Š’Œ›G Œ•Ž•ŒG 3. Analysis Methods

—Œ™–™”ˆ•ŠŒG ˆšG ‰ŒŒ•G ™Œ—–™›Œ‹G ‰ G v˅i™Œ•G ˆ•‹G lžŒ•‚X„UG {Œ G Œš›”ˆ›Œ‹G ›ŒG š š›Œ”G —Œ™–™”ˆ•ŠŒG 3.1. Specific Impulse –™G ˆ™–œšG Š–”‰•ˆ›–•šG –G Œ•Ž•ŒGŠ Š“ŒSG —™–—Œ““ˆ•›G {ŒG š—ŒŠŠG ”—œ“šŒG šG ›ŒG •‹Šˆ›–™G –G ŒŠŒ•›G ˆ•‹G Š––“•ŽG Š–•ŠŒ—›UG {Œ G Š–”—ˆ™Œ‹G ›ŒG —™–—Œ““ˆ•›G Š–•šœ”—›–•UG {ŒG Œ•Ž•ŒG ›™œš›G –G ŽˆšG —Œ™–™”ˆ•ŠŒG –G ŽˆšG ŽŒ•Œ™ˆ›–™G Š Š“ŒG ˆ•‹G š›ˆŽŒ‹G ŽŒ•Œ™ˆ›–™GŠ Š“ŒGšGšœ””ˆ›–•G–GŠ–”‰œš›–•GŠˆ”‰Œ™G Š–”‰œš›–•GŠ Š“ŒUG{Œ GŠ–•š‹Œ™Œ‹GywTXGˆ•‹GjoZGˆšG ›™œš›G ˆ•‹G ›œ™‰•ŒG ŒŸˆœš›G •–¡¡“ŒG ›™œš›UG {ŒG ”ˆššG œŒ“G ˆ•‹G ywTXSG soYG ˆ•‹G sjo[G ˆšG Š––“ˆ•›UG {ŒG “–žG ™ˆ›ŒG –G ›ŒG ›œ™‰•ŒG Šˆ•G ‰ŒG Šˆ“Šœ“ˆ›Œ‹G ™–”G –—›”ˆ“G‹ŒšŽ•G–GˆG™–Š’Œ›GŒ•Ž•ŒGš š›Œ”GšG‹ŒŠ‹Œ‹G ™Œ˜œ™Œ‹G —œ”—G —–žŒ™UG {ŒG ›–›ˆ“G ”ˆššG “–žG ™ˆ›ŒG –G ‰ G Š–”—ˆ™•ŽG ›ŒG š•Ž“ŒG •‹ŒŸG ‹Œ•Œ‹G ‰ G Œ•Ž•ŒG ›ŒGŒ•Ž•ŒGšG‹Œ›Œ™”•Œ‹G™–”G›œ™‰•ŒG”ˆššG“–žG™ˆ›ŒG —Œ™–™”ˆ•ŠŒSG Œ•Ž•ŒG ”ˆššSG —œ”—G ŒŸ›G —™Œššœ™ŒSG ˆ•‹GŠ–”‰œš›–•GŠˆ”‰Œ™G”ˆššG“–žG™ˆ›ŒUG mŽUGXGšGˆG Š–”‰œš›–•G —™Œššœ™ŒSG ”Ÿ›œ™ŒG ™ˆ›–SG ›œ™‰•ŒG šŠŒ”ˆ›ŠG–GˆGŽˆšGŽŒ•Œ™ˆ›–™GŠ Š“ŒGŒ•Ž•ŒGŠ–”—–šŒ‹G ›Œ”—Œ™ˆ›œ™ŒSG Š–’•ŽSG pwzG Op•›Œ™Tw™–—Œ““ˆ•›G zŒˆ“PSG –GˆGŠ–”‰œš›–•GŠˆ”‰Œ™SGˆGŽˆšGŽŒ•Œ™ˆ›–™SGˆG›œ™‰•ŒSG Š––“ˆ•›G ™Œ˜œ™Œ”Œ•›šG ž›G ™Œš—ŒŠ›ŒG žŒŽ›•ŽG —œ”—šG ˆ•‹G Œ›ŠUG mŽUG YG ‹ŒšŠ™‰ŒšG ›ŒG ˆ“Ž–™›”G ›–G ˆŠ›–™UG uhzkhG ™Œ—–™›Œ‹G ›ŒG —™Œ‹Š›–•G ”Œ›–‹G –™G –‰›ˆ•GŠ–•Œ™ŽŒ‹G”ˆššG“–žG™ˆ›ŒUG slT\‚Y„UG {ŒG Œ™™–™G –G ›œ™‰•ŒG ŒŸˆœš›G ”ˆššG “–žG G ™ˆ›ŒG šG ZLG ˆ•‹G ›ŒG Œ™™–™šG –™G –›Œ™G —ˆ™ˆ”Œ›Œ™šG ˆ™ŒG “ŒššG ›ˆ•G XLUG tŠoœŽ‚Z„G —™ŒšŒ•›Œ‹G Œ”—™Šˆ“G Š–™™Œ“ˆ›–•šG ›–G Œš›”ˆ›ŒG ›ŒG Œ•Ž•ŒG Œ•Œ“–—SG Œ•Ž•ŒG ”ˆššSG —™–—Œ““ˆ•›G “–žG ™ˆ›ŒSG ˆ•‹G ›œ™‰–—œ”—G Œˆ‹G ˆ•‹G —–žŒ™UG {ŒG •—œ›G ˆ™ˆ‰“ŒšG ˆ™ŒG —™–—Œ““ˆ•›G Š–”‰•ˆ›–•G ˆ•‹G Œ•Ž•ŒG ›™œš›G ›–G ŽŒ•Œ™ˆ›ŒG ”ˆ‘–™G š—ŒŠŠˆ›–•šG –G ˆG •ŒžG Œ•Ž•ŒUG {ŒG ‰ˆššG –G ›šG ”Œ›–‹G šG ›ŒG š›ˆ›š›Šˆ“G Š–™™Œ“ˆ›–•G –G —™Œ–œšG Œ•Ž•ŒG‹ŒšŽ•G‹ˆ›ˆ‰ˆšŒSGˆ•‹G›ŒGŒ™™–™G–G›ŒG™Œšœ“›šG šG XWLG ›–G YWLUG {ŒG ‹ˆ›ˆ‰ˆšŒG šG Š–”—–šŒ‹G –G X[G ŒŸš›•ŽG Œ•Ž•ŒšG –™G ˆ™–œ•‹G ZWG —ˆ™ˆ”Œ›Œ™šUG {ŒG Š–•š‹Œ™Œ‹G Œ•Ž•ŒšG ˆ™ŒG ot^iSG ysXWhTZTZhSG slT\SG zT[OthTZPSGsy`XSG\jSGoTXSGot]WSGqTYSGyzTY^SGslT

[Schematic of a gas generator cycle engine[7ٻSG ys_^SG zztlG ˆ•‹G mTXUG {ŒG ”ˆ‘–™G —ˆ™ˆ”Œ›Œ™šG ˆ™ŒG Fig. 1^ G ›™œš›SG š—ŒŠŠG ”—œ“šŒSG Š–”‰œš›–•G —™Œššœ™ŒSG ˆ™ŒˆG ™ˆ›–SG”Ÿ›œ™ŒG™ˆ›–SGŒ•Ž•ŒG“Œ•Ž›SGŒŸ›G‹ˆ”Œ›Œ™SG‹™ G ”ˆššSG‹ŒšŽ•GO–“‹V•ŒžPSGsQSGŠ–•›™ˆŠ›–•G™ˆ›–SG•‘ŒŠ›–™G —™Œššœ™ŒG ‹™–—SG ”ˆššG “–žG ™ˆ›ŒSG —œ”—G —™Œššœ™ŒG ™šŒSG •œ”‰Œ™G–G—œ”—Gš›ˆŽŒšSG—œ”—GŒŠŒ•Š SG •œ”‰Œ™G–G ›œ™‰•ŒG š›ˆŽŒšSG —™Œššœ™ŒG ™ˆ›–SG ›œ™‰•ŒG ŒŠŒ•Š SG ›œ™‰•ŒG —–žŒ™G ˆ•‹G ŽˆšG ŽŒ•Œ™ˆ›–™G ”ˆššG “–žG ™ˆ›ŒVG ›Œ”—Œ™ˆ›œ™ŒVŠ–”‰œš›–•G —™Œššœ™ŒV”Ÿ›œ™ŒG ™ˆ›–UG zjvylzG Oz—ˆŠŒj™ˆ›G v‰‘ŒŠ›T–™Œ•›G y–Š’Œ›G l•Ž•ŒG z”œ“ˆ›–•P‚[„GšGˆ•Gˆ•ˆ“ ššG›––“G–™GˆG“ˆœ•ŠŒ™Gˆ•‹G ˆG š—ˆŠŒŠ™ˆ›UG rˆœ”ˆ••G Œ›G ˆ“U‚\„G —™ŒšŒ•›Œ‹G Œ•Ž•ŒG š š›Œ”G ˆ•ˆ“ ššG –™G “ˆ™ŽŒG ˆG ›™œš›G s–ŸV’Œ™–šŒ•ŒG Œ•Ž•ŒUG{ŒGšœ‰‘ŒŠ›G–G›ŒG š›œ‹ GšG tjTXG Œ•Ž•ŒG–G ŽˆšGŽŒ•Œ™ˆ›–™GŠ Š“ŒUGhŒ™–‘Œ›G™Œ—–™›Œ‹G›ŒG•›ŒŽ™ˆ›Œ‹G ˆ•ˆ“ ššG ›––“G ›–G ™Œ‹œŠŒG Š–”—œ›ˆ›–•ˆ“G Š–š›‚]„UG {šG ”Œ›–‹G š—Œ•‹šG –•“ G \¥]G ”•œ›ŒšG ž“ŒG ›ŒG G Algorithm for converged mass flow rate[7,8]GٻG”Œ›–‹GŠ–•šœ”ŒšG[G–œ™šG–™G›ŒGšˆ”ŒG Fig. 2“ˆ•–›•Œ•–Š —™–‰“Œ”UGG G System Analysis of a Gas Generator Cycle Rocket Engine 13

G š›Œ—šUG m™š›G “–žG “–ššG šG Š–™™ŒŠ›Œ‹G ‰ G •›™–‹œŠ•ŽG {ŒGˆ“Ž–™›”Gš–ž•Gˆ‰–ŒGˆšG‰ŒŒ•Gˆ——“Œ‹G›–G›ŒG Ɂ UGuŒŸ›G•Š–”—“Œ›ŒGŠ–”‰œš›–•GŒŒŠ›GšGŠ–•š‹Œ™Œ‹G ஼೑ “˜œ‹G ™–Š’Œ›G Œ•Ž•ŒšG –G rzs}Tpp‚^T`„G ˆ•‹G ˆ™ŒG GžŠG Š–™™ŒŠ›šG ›ŒG Š–”‰œš›–•G “–ššG ›–G ”ŒŒ›G כ GɁ ‰ Œ™Œ‹G‰ GŠ–”—ˆ™•ŽG›ŒG—Œ™–™”ˆ•ŠŒG–GtjTX‚XW„UG ௖ jmkG ˆ“œŒG –™G ŒŸ—Œ™”Œ•›ˆ“G ˆ“œŒG ˆŠŠ–™‹•ŽG ›–G ›ŒG {ŒGˆ•ˆ“ ššGŒ™™–™G‹–ŒšG•–›GŠ–”ŒG™–”G›ŒG•œ”Œ™Šˆ“G Š–™™ŒŠ›•ŽG ŒŠŒ•Š UG p•G ›šG š›œ‹ G Š–™™ŒŠ›–•G šG ˆ“Ž–™›”G‰œ›G™–”G•ˆŠŠœ™ˆ›ŒG—Œ™–™”ˆ•ŠŒG”–‹Œ“šG–G Š–•‹œŠ›Œ‹G ›–G ”ŒŒ›G ›ŒG ŒŸ—Œ™”Œ•›ˆ“G ˆ“œŒ‚XXSXY„UG šœ‰š š›Œ”š‚^S_„UGG mŽUGZG‹ŒšŠ™‰ŒšG›ŒGŠ–”‰œš›–™GŒŠŒ•Š G”–‹Œ“UG{ŒG G –““–žGš ”‰–“šG•G›ŒGŽœ™ŒG—™ŒšŒ•›G”Œˆšœ™Œ‹G‹ˆ›ˆUG 3.2. Performance Model for G {ŒG Š–”‰œš›–•G Šˆ”‰Œ™G ŽŒ•Œ™ˆ›ŒšG ›™œš›G ™–”G 3.3. Performance Model for ŠŒ”Šˆ“G ™ŒˆŠ›–•G –G –Ÿ‹¡Œ™G ˆ•‹G œŒ“UG w™–—Œ““ˆ•›šG {ŒG —œ”—G ŒŠŒ•Š G šG ŽŒ•G ˆšG ˆG œ•Š›–•G –G ˆ™ŒG ”ŸŒ‹G ˆ›G Š–”‰œš›–•G Šˆ”‰Œ™G ˆ•‹G ›Œ•G ‰œ™•G ›–G š—ŒŠŠGš—ŒŒ‹‚XZ„G‹Œ•Œ‹G‰ Gl˜UO\PUG ŽŒ•Œ™ˆ›ŒGŽG—™Œššœ™ŒGˆ•‹G›Œ”—Œ™ˆ›œ™ŒGŽˆšUGm•ˆ““ SG G ›ŒGŠ–”‰œš›–•G ŽˆšG ˆŠŠŒ“Œ™ˆ›ŒšG ›–G šœ—Œ™Tš–•ŠG “–žG ஐொబǤఱ ›™–œŽG ˆG Š–•Œ™Ž•ŽT‹Œ™Ž•ŽG •–¡¡“ŒUG {ŒG ȳ௦ ൌ బǤళఱGG G O\PG ൫௚ൈο௛Ȁேೞ೟ೌ೒೐൯ —Œ™–™”ˆ•ŠŒG ”–‹Œ“G Š–™™ŒŠ›šG ›ŒG ›Œ–™Œ›Šˆ“G G —Œ™–™”ˆ•ŠŒG ‰ G Š–•š‹Œ™•ŽG Š–”‰œš›–•G ŒŠŒ•Š G {ŒG •‹œŠŒ™G šG Š–•š‹Œ™Œ‹G •G ›šG —ˆ—Œ™G ›–G ™Œ‹œŠŒG ˆ•‹G •–¡¡“ŒG ŒŠŒ•Š UG p•G ›ŒG —™ŒšŒ•›G š›œ‹ SG •–¡¡“ŒG Šˆ›ˆ›–•UG {ŒG –Ÿ‹¡Œ™G —œ”—G –™G “˜œ‹G –Ÿ ŽŒ•G ˆ•‹G ŒŠŒ•Š G šG ˆG œ•Š›–•G –G ŒŸ—ˆ•š–•G ™ˆ›–G ˆ•‹G ›ŒG ›ŒG œŒ“G —œ”—G –™G ’Œ™–šŒ•ŒG ˆ™ŒG Š–•š‹Œ™Œ‹G ˆšG Š–”‰œš›–•G ŒŠŒ•Š GšGˆGœ•Š›–•G –G ”Ÿ›œ™ŒG ™ˆ›–UG Š–••ŒŠ›Œ‹G ‰ G ˆG š•Ž“ŒG šˆ›UG i–›G —œ”—šG ˆ™ŒG š•Ž“ŒG {ŒG Š–”‰œš›–•G Šˆ”‰Œ™G —Œ™–™”ˆ•ŠŒG šG ŽŒ•G ‰ G š›ˆŽŒUG o–žŒŒ™G š–”Œ›”ŒšG ”œ“›Tš›ˆŽŒG —œ”—šG ˆ™ŒG l˜UOXP¥l˜UO[PUG ™Œ˜œ™Œ‹G–™GŒ•Ž•ŒšG–—Œ™ˆ›Œ‹Gœ•‹Œ™GŽŒ™G—™Œššœ™ŒUG G {šG Šˆ•G ‰ŒG ”—“Œ”Œ•›Œ‹G ‰ G œ—Ž™ˆ‹•ŽG šœ‰š š›Œ”G ஼כ௖ ܫ ൌ ೑GG G G OXPG —Œ™–™”ˆ•ŠŒG ”–‹Œ“šUG {ŒG ŒŠŒ•Š G –G ›œ™‰•ŒG šG ௌ௉ ௚ ሺ௣ ሻ ஺௚ ŽŒ•GˆšGˆGœ•Š›–•G–G›ŒG™ˆ›–G–GšŒ•›™–—ŠGš—–œ›•ŽG ൌ ೎ ೙ೞ GG G G OYPG כܿ ௠ሶ ೟೎ Œ“–Š› Gˆ•‹G›œ™‰•ŒG‰“ˆ‹ŒGŒ“–Š› UGl˜UO]PGˆ•‹Gl˜UO^PG GG G G OZPG כܿ ൌ Ɂ כܿ ௧௛ ‹ŒšŠ™‰ŒG›ŒG›œ™‰•ŒG—Œ™–™”ˆ•ŠŒUG כ௖ ௧௛ ܥ௙ ൌ Ɂ ܥ௙ GG G G O[PG G ஼೑ ଴ሻGG G G O]PGܥG Ʉ்஻ ൌ݂ሺݑȀ ംషభ ఊ ଵ ം ܥ଴ ൌ ඨʹ ܴܶ௜ ቈͳ െ ቀ ቁ ቉GG G O^PG 300 ఊିଵ గ

CEA G  290 x cf G

 CFD 3.4. Performance Model for Gas Generator x c* {ŒGŽˆšGŽŒ•Œ™ˆ›–™G—™–‹œŠŒšG ž–™’•ŽG“œ‹G›–G‹™ŒG (s)

SL 280 ˆG ›œ™‰•ŒUG {ŒG ŽˆšG —™–‹œŠ›G ›Œ”—Œ™ˆ›œ™ŒG š–œ“‹G ‰ŒG Isp  exp x c* ”–‹Œ™ˆ›ŒG •–›G ›–G ‹ˆ”ˆŽŒG ›ŒG ›œ™‰•ŒG ”ˆ›Œ™ˆ“UG

270 iŒŠˆœšŒG›ŒG›œ™‰•ŒG–™GˆG™–Š’Œ›GŒ•Ž•ŒGšG–—Œ™ˆ›Œ‹G œšœˆ““ G ž›–œ›G Š––“•ŽUG {ŒG › —Šˆ“G Š–”‰œš›–•G Š–•‹›–•G–G›ŒGŽˆšGŽŒ•Œ™ˆ›–™GšGŒŸ›™Œ”Œ“ GœŒ“G™ŠG 260 2 2.2 2.4 2.6 2.8 3 ›–G ”ŒŒ›G ”–‹Œ™ˆ›ŒG Š–”‰œš›–•G ›Œ”—Œ™ˆ›œ™ŒUG {ŒG O/F)CC G Œ˜œ“‰™œ”Gˆ•ˆ“ ššG–™GŠ–”‰œš›–•GšGœ•šˆ›šˆŠ›–™ G Correction concept of combustor efficiencyGٻFig. 3 –™G ›šG Š–•‹›–•UG z–G ŒŸ—Œ™”Œ•›ˆ“G ‹ˆ›ˆG šG œšŒ‹G –™G G ›ŒG —Œ™–™”ˆ•ŠŒG ”–‹Œ“UG {ŒG ”–“ŒŠœ“ˆ™G žŒŽ›SG G Š–”‰œš›–•G ›Œ”—Œ™ˆ›œ™ŒG ˆ•‹G š—ŒŠŠG Œˆ›G ™ˆ›–G ˆ™ŒG {Œ–™Œ›Šˆ“G—Œ™–™”ˆ•ŠŒGšGŠˆ“Šœ“ˆ›Œ‹G‰ Gœš•ŽGjlhG ”–‹Œ“Œ‹G ˆšG ˆG œ•Š›–•G –G ”Ÿ›œ™ŒG ™ˆ›–G ˆ•‹G ž›GŠ–•›™ˆŠ›–•G™ˆ›–GZG–™G•›ŒGˆ™ŒˆGŠ–•‹›–•UG{šG Š–”‰œš›–•G —™Œššœ™ŒUG l˜O_P¥l˜UOXWPG ˆ™ŒG ŽŒ•G ›–G ˆ“œŒGšGŽŒ™G›ˆ•G›ŒG™Œˆ“G—Œ™–™”ˆ•ŠŒG‰ŒŠˆœšŒG•–G ”–‹Œ“G›ŒGŽˆšGŽŒ•Œ™ˆ›–™G—Œ™–™”ˆ•ŠŒUG “œ‹G™Š›–•GšGŠ–•š‹Œ™Œ‹Gˆ•‹G›ŒG—Œ™ŒŠ›G”Ÿ•ŽGšG G ˆššœ”Œ‹UG{ŒG‹Œˆ“G—Œ™–™”ˆ•ŠŒGšGŠ–™™ŒŠ›Œ‹G‰ G›ž–G 14 Won Kook Cho · Chun IL Kim

ை ൌˆቀ ǡ݌ ቁGG G G O_PG ி ீீ ை mŽœ™ŒG\G‹Œ—Š›šG›ŒGšŒˆG“ŒŒ“Gš—ŒŠŠG”—œ“šŒUG{ŒG ܶீீ ൌˆቀ ǡ݌ீீቁGG G G O`PG ி ‹Œ™Œ•ŠŒG –G ŒˆŠG Š–•›–œ™G “•ŒG šG XG šUG z–”ŒG “ŒŒ“šG ை ߛ ൌˆቀ ǡ݌ ቁG G G G OXWPG ீீ ி ீீ ˆ™ŒG –”››Œ‹G •G ›ŒG Žœ™ŒG –™G ‰Œ››Œ™G ™Œˆ‹ˆ‰“› UG {ŒG G ˆŠœœ”G ›™œš›G –G ›ŒG ›ˆ™ŽŒ›G Œ•Ž•ŒG šG ZWG ›–•G Š“ˆššUG 3.5. Required Pump Head Model {ŒG Œ•Ž•ŒGšG Š–•š‹Œ™Œ‹G ˆšG ˆG ‰––š›Œ™G š›ˆŽŒGš–G›ŒG {ŒG–‰‘ŒŠ›ŒG–G—œ”—šG–GˆG“˜œ‹G™–Š’Œ›GŒ•Ž•ŒGšG ˆ™ŒˆG ™ˆ›–G šG Š–•š›™ˆ•Œ‹G ›–G ”ŒŒ›G ›ŒG ”•”œ”G ŒŸ›G ›–G—™Œššœ™¡ŒG›ŒG—™–—Œ““ˆ•›UGp›Gš–œ“‹G‰ŒG‹Œ“Œ™Œ‹G›–G —™Œššœ™ŒGWUW]GtwˆUGhG› —Šˆ“G™ˆ•ŽŒG–GŒŸ›G—™Œššœ™ŒG ˆG ŽG —™Œššœ™ŒG Š–”‰œš›–™G –Œ™Š–”•ŽG —™Œššœ™ŒG –™G ‰––š›Œ™G š›ˆŽŒG Œ•Ž•ŒšG šG WUW[G twˆG ›–G WUXG twˆUG ‹™–—G ›™–œŽG ›ŒG Š–”‰œš›–•G Šˆ”‰Œ™G Š––“•ŽG {ŒG Š–”‰œš›–™G —Œ™–™”ˆ•ŠŒG •Š™ŒˆšŒšG ˆšG ›ŒG —ˆššˆŽŒSGšœ——“ G——ŒšGˆ•‹Gˆ“ŒšUG{ŒG—™Œššœ™ŒG‹™–—G Š–”‰œš›–•G —™Œššœ™ŒG •Š™ŒˆšŒšG –™G ”Ÿ›œ™ŒG ™ˆ›–G ›™–œŽG›ŒGŠ––“•ŽG—ˆššˆŽŒGšG›ŒG”ˆ‘–™G—ˆ™›Gˆ”–•ŽG •Š™ŒˆšŒUG o–žŒŒ™G ”–™ŒG Š––“•ŽG Šˆ—ˆŠ› G ”Œˆ••ŽG —™Œššœ™ŒG ‹™–—G ˆŠ›–™šUG z–G ›ŒG ™Œ˜œ™Œ‹G —™Œššœ™ŒG Š–š›G•G—Œ™–™”ˆ•ŠŒGšG™Œ˜œ™Œ‹UGz–G–—›”ˆ“GŠ–•‹›–•G ‹Œ™Œ•ŠŒG ˆ“–•ŽG ›ŒG ™ŒŽŒ•Œ™ˆ›ŒG Š––“•ŽG —ˆššˆŽŒG ŒŸš›šG –™G ŽˆšG ŽŒ•Œ™ˆ›–™G Š Š“ŒG Œ•Ž•ŒšG ž“ŒG š–œ“‹G ‰ŒG ŽŒ•G –™G š š›Œ”G ˆ•ˆ“ ššUG {ŒG —™ŒšŒ•›G ”–•–›–•ŠG •Š™ŒˆšŒG —Œ™–™”ˆ•ŠŒG –™G š›ˆŽŒ‹G Š Š“ŒG š›œ‹ G ‹ŒŒ“–—Œ‹G ›ŒG —™Œššœ™ŒG ‹™–—G ”–‹Œ“G Œ•Ž•ŒšG ˆ“–•ŽG Š–”‰œš›–•G —™Œššœ™ŒUG {ŒG —™Œššœ™ŒG Š–•š‹Œ™•ŽG ›ŒG —œ‰“šŒ‹G ‹ˆ›ˆ‚XSG XX„UG {ŒG —™ŒšŒ•›G ‹™–—G ›™–œŽG ›ŒG ™ŒŽŒ•Œ™ˆ›ŒG Š––“•ŽG —ˆššˆŽŒG šG ”–‹Œ“G ŽŒšG —™Œššœ™ŒG ‹™–—G ›™–œŽG ›ŒG Š––“•ŽG —™–—–™›–•ˆ“G ›–G ›ŒG š˜œˆ™ŒG –G ›ŒG Š–”‰œš›–•G —ˆššˆŽŒG Š–•š‹Œ™•ŽG Š–”‰œš›–•G —™Œššœ™ŒG ˆ•‹G —™Œššœ™ŒG ˆ•‹G ›ŒG —™–—Œ““ˆ•›G Š–•šœ”—›–•G –G ›ŒG ”Ÿ›œ™ŒG ™ˆ›–UG {ŒG ›Œ™”ˆ“G ™Œšš›ˆ•ŠŒG –G Šˆ™‰–•G ›œ™‰•ŒG šG “•Œˆ™“ G —™–—–™›–•ˆ“G ›–G ›ŒG —œ”—G —–žŒ™UG ‹Œ—–š›SG “•Œ™G ”ˆ›Œ™ˆ“G ˆ•‹G Š–’•ŽG ›Œ”—Œ™ˆ›œ™ŒG –G ~“ŒG›ŒG•Š™ŒˆšŒG–G—Œ™–™”ˆ•ŠŒG–G›ŒGŠ–”‰œš›–™G Š––“ˆ•›G ”ˆ G ‰ŒG Š–•š‹Œ™Œ‹G –™G ”–™ŒG ˆŠŠœ™ˆ›ŒG šG “ŒššG ›ˆ•G “•Œˆ™“ G —™–—–™›–•ˆ“G ›–G Š–”‰œš›–™G —™Œ‹Š›–•UG mŽUG [G š–žšG ›ŒG™Œ˜œ™Œ‹G —™Œššœ™ŒG ‹™–—G —™Œššœ™ŒG ˆ•‹Gš––•G šˆ›œ™ˆ›Œ‹UG h›Œ™G ŠŒ™›ˆ•G —™Œššœ™ŒG –G ™ŒŽŒ•Œ™ˆ›ŒG Š––“•ŽUG {ŒG —ˆ™ˆ‰–“ŠG •Š™ŒˆšŒG –G ›ŒG —Œ™–™”ˆ•ŠŒG Žˆ•G ‰ G •Š™ŒˆšŒG –G Š–”‰œš›–™G —™Œššœ™ŒG ‹™–—G ›™–œŽG ›ŒG ™ŒŽŒ•Œ™ˆ›ŒG Š––“•ŽG —™Œššœ™ŒG šG •ŒŽ“Ž‰“ŒUG {šG šG ›ŒG ”ˆ‘–™G ™ˆ›–•ˆ“ŒG —ˆššˆŽŒGž›G™Œš—ŒŠ›G›–GŠ–”‰œš›–•G—™Œššœ™ŒGˆŽ™ŒŒšG ›ˆ›G –—›”ˆ“G Š–”‰œš›–™G —™Œššœ™ŒG ŒŸš›šG –™G ŽˆšG ˜œˆ“›ˆ›Œ“ G ž›G ›ŒG —œ‰“šŒ‹G ‹ˆ›ˆ‚XSG XX„UG {ŒG ŽŒ•Œ™ˆ›–™G Š Š“ŒG Œ•Ž•ŒšUG o–žŒŒ™SG ›ŒG –—›”ˆ“G —™Œššœ™ŒG ‹™–—šG ”–™ŒG –™G ŽŒ™G ”Ÿ›œ™ŒG ™ˆ›–G Š–”‰œš›–™G —™Œššœ™ŒG ‹Œ—Œ•‹šG –•G ›ŒG —Œ™–™”ˆ•ŠŒG –G ‰ŒŠˆœšŒG ›ŒG Š–”‰œš›–•G —™–‹œŠ›G ›Œ”—Œ™ˆ›œ™ŒG ›ŒG šœ‰š š›Œ”šUG z–G –—›”ˆ“G Š–”‰œš›–™G —™Œššœ™ŒG šG •Š™ŒˆšŒšG ˆšG ›ŒG ”Ÿ›œ™ŒG ™ˆ›–G ˆ——™–ˆŠŒšG ›–G •–›Gœ•Œ™šˆ“Gˆ•‹GŠˆ•ŽŒšG›–G›ŒG•‹‹œˆ“G‹ŒšŽ•G–G Œ˜œˆ“Œ•›G™ˆ›–GXGŠ–•‹›–•UGG ›ŒGŒ•Ž•ŒUGG G G

12 2.8

O/F)CC=2.2 O/F)CC=2.3 10 O/F)CC=2.4 2.7 O/F)CC=2.5 O/F)CC=2.6 O/F) =2.7 8 CC 2.6 O/F)CC=2.8 CC (Mpa) 6 2.5 O/F) regen p  4 2.4 2 65

2 2 6 2 6 4 2.3 3

0 2.2 4 6 8 10 12 4 6 8 10 12 p (Mpa) p (Mpa) CC CC G Sea level specific impulse (unit: s)GٻPressure drop of regenerative coolingG Fig. 5ٻFig. 4 G

G G mŽœ™ŒG ]G š–žšG ›ŒG ˆŠœœ”G š—ŒŠŠG ”—œ“šŒG 4. Results and Discussions ‹š›™‰œ›–•UG }ˆŠœœ”G š—ŒŠŠG ”—œ“šŒG •Š™ŒˆšŒšG ˆšG System Analysis of a Gas Generator Cycle Rocket Engine 15

›ŒG ˆ™ŒˆG ™ˆ›–G •Š™ŒˆšŒšUG {ŒG ˆŠœœ”G š—ŒŠŠG ”—œ“šŒG •Š™ŒˆšŒšG š“–ž“ G –™G ŽG Š–”‰œš›–™G Gˆ™ŒˆG

—™Œššœ™ŒGŠ–•‹›–•G‰ŒŠˆœšŒG–G›ŒGŠ–••Œ‹Gˆ™ŒˆG™ˆ›–G ܫௌ௉G š—ŒŠŠG”—œ“šŒG

Š–•‹›–•G –™G ‰––š›Œ™G š›ˆŽŒG Œ•Ž•ŒšUG {ŒG ›–›ˆ“G ܥ଴G šŒ•›™–—ŠGš—–œ›•ŽGŒ“–Š› G

”—œ“šŒG žŠG šG —™–—–™›–•ˆ“G ›–G ›ŒG Š–”‰•ˆ›–•G –G ܥ௙G •–¡¡“ŒGŠ–ŒŠŒ•›G›G šŒˆG “ŒŒ“G š—ŒŠŠG ”—œ“šŒG ˆ•‹G ˆŠœœ”G š—ŒŠŠG G •œ”‰Œ™G–Gš›ˆŽŒšG ”—œ“šŒG‹œ™•ŽG–—Œ™ˆ›•ŽG›”ŒG‹Œ›Œ™”•ŒšG›ŒG–—›”ˆ“G G ”–“ŒŠœ“ˆ™GžŒŽ›G

Š–•‹›–•G –G ˆG ‰––š›Œ™G š›ˆŽŒG Œ•Ž•ŒUG z–G ›ŒG ˆŠœœ”G ’௖G Šˆ”‰Œ™G—™Œššœ™ŒG š—ŒŠŠG”—œ“šŒGš–œ“‹G‰ŒGŽŒ•G–™Gš›ˆŽŒG‹ŒšŽ•UGp•G G –“œ”ŒG“–žG™ˆ›ŒG mŽUG ]G ›ŒG ”ˆŸ”œ”G ˆŠœœ”G š—ŒŠŠG ”—œ“šŒG G ŽˆšGŠ–•š›ˆ•›G Š–•‹›–•G “–Šˆ›ŒšGˆ›G ˆG ”–‹Œ™ˆ›ŒGŠ–”‰œš›–™G —™Œššœ™ŒG G ›Œ”—Œ™ˆ›œ™ŒG G Š–”‰œš›–•GŠˆ™ˆŠ›Œ™š›ŠGŒ“–Š› Gכܿ G›ŒG—™ŒšŒ•›Gˆ™ŒˆG™ˆ›–GšG“”›Œ‹G›–G”ŒŒ›G›ŒGŒšœˆŠŒ‰ ŒŸ›G —™Œššœ™ŒG Š–•š›™ˆ•›šG –™G ‰––š›Œ™G š›ˆŽŒG ‰G Ž™ˆ›ˆ›–•ˆ“GˆŠŠŒ“Œ™ˆ›–•G ˆ——“Šˆ›–•G ˆšG ŒŸ—“ˆ•Œ‹G •G ›ŒG —™Œ–œšG —ˆ™ˆŽ™ˆ—UG ݉ሶ G ”ˆššG“–žG™ˆ›ŒG m–™G ˆ•G œ——Œ™G š›ˆŽŒG ˆ——“Šˆ›–•SG ›ŒG ŒŸ›G —™Œššœ™ŒG ȳG ™–›ˆ›•ŽGš—ŒŒ‹G

Š–•š›™ˆ•›G šG ”Œˆ••Ž“ŒššG ˆ•‹G ›ŒG –—›”ˆ“G —™Œššœ™ŒG ȳ௦G š—ŒŠŠGš—ŒŒ‹G ž““G ‰ŒG ŽŒ™G ›ˆ•G ›ˆ›G šG ŽŒ•G •G mŽUG ]UG v•G ›ŒG ɀG š—ŒŠŠGŒˆ›G™ˆ›–G –›Œ™Gˆ•‹SG›ŒGŒŸ›G‹ˆ”Œ›Œ™GŠˆ•G‰ŒGˆGŠ–•š›™ˆ•›G›–G ɎG —™Œššœ™ŒG™ˆ›–G ”ŒŒ›G›ŒGš›ˆŽŒGŒ•Œ“–—G•š›Œˆ‹G–GŒŸ›G—™Œššœ™ŒUG ɁG ŒŠŒ•Š G G 2.8 Superscript/subscript

2.7 ŠGŒˆ‹G 2.6 1 •G •–¡¡“ŒGš›ˆŽ•ˆ›–•G 30

CC ܥ௙G •–¡¡“ŒGŠ–ŒŠŒ•›G 2.5 0 כ 30 O/F) ܿ G Š–”‰œš›–•GŠˆ™ˆŠ›Œ™š›ŠGŒ“–Š› G 9 29 2.4 – G ›™œš›GŠˆ”‰Œ™G 8 29 –ŠG ›Œ–™Œ›Šˆ“Gˆ“œŒG 2.3 G

2.2 4 6 8 10 12 p (Mpa) CC References Vacuum specific impulse (unit: s)GٻFig. 6 [1] C.J. O'Brien and R.L. Ewen, Advanced oxygen- hydrocarbon rocket engine study, NASA-CR- 5. Conclusions 161748, 1981. [2] H. Miyajima and K. Nakahashi, “Specific impulse analysis of the LE-5 engine,” AIAA-84-1224, 1984. hGš š›Œ”Gˆ•ˆ“ ššG”Œ›–‹GˆšG‰ŒŒ•GŽŒ•G–™GˆGZWG [3] B. McHugh, “Numerical analysis of existing liquid ›–•G Š“ˆššG ŽˆšG ŽŒ•Œ™ˆ›–™G Š Š“ŒG Œ•Ž•ŒUG uœ”Œ™Šˆ“G rocket as a design starter,” AIAA-95-2970, ”–‹Œ“šGˆ™ŒG‹ŒšŠ™‰Œ‹G–™GˆGŠ–”‰œš›–™SG›œ™‰–—œ”—šSGˆG 1995. ŽˆšG ŽŒ•Œ™ˆ›–™G ˆ•‹G ›ŒG —™Œššœ™ŒG ‹™–—G ›™–œŽG ˆG [4] D.W. Way and J.R. Olds, “SCORES: Developing an ™ŒŽŒ•Œ™ˆ›ŒG Š––“•ŽG —ˆššˆŽŒUG hšG ˆG šˆ”—“ŒG ™Œšœ“›SG Object-Oriented Rocket Propulsion Analysis Tool,” šŒˆG “ŒŒ“G š—ŒŠŠG ”—œ“šŒG ˆ•‹G ˆŠœœ”G š—ŒŠŠG AIAA 98-3227, 1998. ”—œ“šŒGˆšG‰ŒŒ•G—™ŒšŒ•›Œ‹UG{ŒGŠ–”‰•ˆ›–•G–G›ŒG [5] J. Kauffmann, A. Herbertz and M. Sippel, “Systems ‰Œ•Œ›G –G Š–”‰œš›–•G —Œ™–™”ˆ•ŠŒG ˆ•‹G ›ŒG Š–š›G –G analysis of a high , low-cost rocket engine,” Š––“•ŽG ž›G ™Œš—ŒŠ›G ›–G Š–”‰œš›–•G —™Œššœ™ŒG ˆ•‹G 4th Int. Conf. on Green For Space ”Ÿ›œ™ŒG ™ˆ›–G ŽŒšG ›ŒG –—›”ˆ“G Š–•‹›–•G –™G šŒˆG Prop., 2001. “ŒŒ“G–™GˆŠœœ”Gš—ŒŠŠG”—œ“šŒUG [6] J.D. Shelton, R.A. Frederick Jr. and A.W. Wilhite,

Propulsion Design with Multiple Nomenclature 16 Won Kook Cho · Chun IL Kim

Selection Criteria,” J. Spacecraft and , vol. 43, no. 4, pp.893-902, 2006. [7] W.K. Cho, S.Y. Park and C.W. Kim, “Energy Balance Analysis of 30ton Thrust Level Liquid Rocket Engine,” Trans. Korean Soc. Mechanical Engineers, vol. 36, no.5, pp. 563-569, 2012. [8] W.K. Cho, S.Y. Park, Y.W. Moon, C.H. Nam, C.W. Kim and W.S. Seol, “Liquid rocket engine system of Korean launch vehicle,” J. Korean Soc. Propulsion Engineers, vol. 14, no. 1, pp. 56-64, 2010. [9] E.S. Lee, W.K. Cho, Y. Moon, Y.H. Chung and W.S. Seol, “The present status of liquid rocket engine development for KSLV-II,” Proceedings of 2012 KSAS Fall Conference, pp. 240-246, 2012. [10] R.O. Ballard and T. Olive, “Development status of the NASA MC-1 () engine,” AIAA-2000- 3898, 2000. [11] S.-K. Kim and H.-S. Choi, “Development of numerical framework for design and analysis of liquid rocket thrust chambers,” 2009 KSPE Fall Conference, pp. 34-37, 2009. [12] S.-K. Kim, M. Joh and H.-S. Choi, “Film cooling modeling for combustion and heat transfer within a regeneratively cooled rocket combustor,” 2011 KSPE Fall Conference, pp. 636-640, 2011. [13] Turbopump systems for liquid rocket engines, NASA SP-8107, 1974.