Numerical Study on Thrust Characteristics of an E-D Nozzle ...

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Journal of the Korean Society of Propulsion Engineers Vol. 20, No. 3, pp. 87-95, 2016 8 7 1. ์„œ ๋ก  Research Paper DOI: http://dx.doi.org/10.6108/KSPE.2016.20.3.087 ๊ณ ๋„ ๋ณด์ •์šฉ E-D ๋…ธ์ฆ์˜ ์ถ”๋ ฅ ํŠน์„ฑ์— ๋Œ€ํ•œ ์ˆ˜์น˜ํ•ด์„ ์—ฐ๊ตฌ ํ™ฉํฌ์„ฑ a โ€ค ํ—ˆํ™˜์ผ b, * Numerical Study on Thrust Characteristics of an E-D Nozzle for Altitude Compensation Heuiseong Hwang a โ€ค Hwanil Huh b, * a School of Aerospace Engineering, Graduate School at Chungnam National University, Korea b School of Aerospace Engineering, Chungnam National University, Korea * Corresponding author. E-mail: [email protected] ABSTRACT A study on the effect of altitude-compensation and the possibility of throttling is performed by designing an E-D nozzle that is a type of altitude-compensation nozzles. In order to examine the effect of the altitude-compensation, a CFD analysis is conducted by using three kinds (sea level, altitude at 10 km and 16 km) of the atmosphere condition while maintaining the chamber pressure. Results show that the effective nozzle exit area is also gradually increased when the altitude get increased. Understanding the possibility of throttling, a CFD analysis is conducted by moving the location of the pintle. Just as same as a general pintle thruster, the chamber pressure and thrust are increased when the nozzle throat area get decreased. ์ดˆ ๋ก ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” E-D ๋…ธ์ฆ์„ ์„ค๊ณ„ํ•˜์—ฌ ๊ณ ๋„ ๋ณด์ •์— ๋Œ€ํ•œ ํšจ๊ณผ์™€ Throttling์— ๋Œ€ํ•œ ๊ฐ€๋Šฅ์„ฑ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ ํ–‰ํ•˜์˜€๋‹ค. ๊ณ ๋„ ๋ณด์ •์— ๋Œ€ํ•œ ํšจ๊ณผ๋ฅผ ํ™•์ธํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ์—ฐ์†Œ์‹ค ์••๋ ฅ์„ ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€ํ•˜๋ฉฐ, ์ด 3๊ฐ€์ง€(ํ•ด์ˆ˜ ๋ฉด, ๊ณ ๋„ 10 km, ๊ณ ๋„ 16 km)์˜ ์™ธ๋ถ€ ๋Œ€๊ธฐํ™˜๊ฒฝ ์กฐ๊ฑด์„ ์ด์šฉํ•˜์—ฌ ํ•ด์„์  ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ๊ทธ ๊ฒฐ๊ณผ ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜๋ก ์œ ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด์  ์—ญ์‹œ ์ ์  ์ฆ๊ฐ€ํ•˜์˜€์œผ๋ฉฐ ์ด๋กœ ์ธํ•˜์—ฌ ์ถ”๋ ฅ๋„ ์ฆ๊ฐ€ํ•˜์˜€๋‹ค. ๋˜ ํ•œ Throttling์— ๋Œ€ํ•œ ๊ฐ€๋Šฅ์„ฑ์„ ํŒŒ์•…ํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ํ•€ํ‹€์˜ ์œ„์น˜๋ฅผ ์—ฐ์†Œ์‹ค ์ชฝ์œผ๋กœ ํ›„์ง„์‹œ์ผœ ๋…ธ์ฆ ๋ชฉ ๋ฉด์  ์„ ์ž‘๊ฒŒ ๋ชจ๋ธ๋งํ•˜์—ฌ ํ•ด์„์  ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์ผ๋ฐ˜์ ์ธ ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์™€ ๋™์ผํ•˜๊ฒŒ ๋…ธ์ฆ ๋ชฉ ๋ฉด์ ์ด ์ค„ ์–ด๋“ค์ˆ˜๋ก ์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ์ƒ์Šนํ•˜๋ฉฐ ์ถ”๋ ฅ ์—ญ์‹œ ์ฆ๊ฐ€ํ•˜์˜€๋‹ค. Key Words: Expansion-Deflection Nozzle(E-D ๋…ธ์ฆ), Altitude-Compensation(๊ณ ๋„ ๋ณด์ •), Nozzle Efficiency(๋…ธ์ฆ ํšจ์œจ), Aerodynamic Load(๊ณต๋ ฅ ํ•˜์ค‘) Received 1 April 2016 / Revised 10 May 2016 / Accepted 15 May 2016 Copyright โ’ธ The Korean Society of Propulsion Engineers pISSN 1226-6027 / eISSN 2288-4548 This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License(http://creativecommons.org /licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Transcript of Numerical Study on Thrust Characteristics of an E-D Nozzle ...

Page 1: Numerical Study on Thrust Characteristics of an E-D Nozzle ...

Journal of the Korean Society of Propulsion Engineers Vol. 20, No. 3, pp. 87-95, 2016 87

1. ์„œ ๋ก 

Research Paper DOI: http://dx.doi.org/10.6108/KSPE.2016.20.3.087

๊ณ ๋„ ๋ณด์ •์šฉ E-D ๋…ธ์ฆ์˜ ์ถ”๋ ฅ ํŠน์„ฑ์— ํ•œ ์ˆ˜์น˜ํ•ด์„ ์—ฐ๊ตฌ

ํ™ฉํฌ์„ฑ a โ€ค ํ—ˆํ™˜์ผ b, *

Numerical Study on Thrust Characteristics of an E-D

Nozzle for Altitude Compensation

Heuiseong Hwang a โ€ค Hwanil Huh b, *

a School of Aerospace Engineering, Graduate School at Chungnam National University, Koreab School of Aerospace Engineering, Chungnam National University, Korea

* Corresponding author. E-mail: [email protected]

ABSTRACT

A study on the effect of altitude-compensation and the possibility of throttling is performed by

designing an E-D nozzle that is a type of altitude-compensation nozzles. In order to examine the effect

of the altitude-compensation, a CFD analysis is conducted by using three kinds (sea level, altitude at

10 km and 16 km) of the atmosphere condition while maintaining the chamber pressure. Results show

that the effective nozzle exit area is also gradually increased when the altitude get increased.

Understanding the possibility of throttling, a CFD analysis is conducted by moving the location of the

pintle. Just as same as a general pintle thruster, the chamber pressure and thrust are increased when

the nozzle throat area get decreased.

๋ก

๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” E-D ๋…ธ์ฆ์„ ์„ค๊ณ„ํ•˜์—ฌ ๊ณ ๋„ ๋ณด์ •์— ํ•œ ํšจ๊ณผ์™€ Throttling์— ํ•œ ๊ฐ€๋Šฅ์„ฑ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜

ํ–‰ํ•˜ ๋‹ค. ๊ณ ๋„ ๋ณด์ •์— ํ•œ ํšจ๊ณผ๋ฅผ ํ™•์ธํ•˜๊ธฐ ํ•˜์—ฌ ์—ฐ์†Œ์‹ค ์••๋ ฅ์„ ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€ํ•˜๋ฉฐ, ์ด 3๊ฐ€์ง€(ํ•ด์ˆ˜

๋ฉด, ๊ณ ๋„ 10 km, ๊ณ ๋„ 16 km)์˜ ์™ธ๋ถ€ ๊ธฐํ™˜๊ฒฝ ์กฐ๊ฑด์„ ์ด์šฉํ•˜์—ฌ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ๊ทธ ๊ฒฐ๊ณผ

๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜๋ก ์œ ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด ์—ญ์‹œ ์ฆ๊ฐ€ํ•˜ ์œผ๋ฉฐ ์ด๋กœ ์ธํ•˜์—ฌ ์ถ”๋ ฅ๋„ ์ฆ๊ฐ€ํ•˜ ๋‹ค.

ํ•œ Throttling์— ํ•œ ๊ฐ€๋Šฅ์„ฑ์„ ์•…ํ•˜๊ธฐ ํ•˜์—ฌ ํ•€ํ‹€์˜ ์น˜๋ฅผ ์—ฐ์†Œ์‹ค ์ชฝ์œผ๋กœ ํ›„์ง„์‹œ์ผœ ๋…ธ์ฆ ๋ชฉ ๋ฉด

์„ ์ž‘๊ฒŒ ๋ชจ๋ธ๋งํ•˜์—ฌ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ์ผ๋ฐ˜ ์ธ ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์™€ ๋™์ผํ•˜๊ฒŒ ๋…ธ์ฆ ๋ชฉ ๋ฉด ์ด

์–ด๋“ค์ˆ˜๋ก ์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ์ƒ์Šนํ•˜๋ฉฐ ์ถ”๋ ฅ ์—ญ์‹œ ์ฆ๊ฐ€ํ•˜ ๋‹ค.

Key Words: Expansion-Deflection Nozzle(E-D ๋…ธ์ฆ), Altitude-Compensation(๊ณ ๋„ ๋ณด์ •), Nozzle

Efficiency(๋…ธ์ฆ ํšจ์œจ), Aerodynamic Load(๊ณต๋ ฅ ํ•˜ )

Received 1 April 2016 / Revised 10 May 2016 / Accepted 15 May 2016 Copyright โ’ธ The Korean Society of Propulsion EngineerspISSN 1226-6027 / eISSN 2288-4548

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License(http://creativecommons.org /licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Page 2: Numerical Study on Thrust Characteristics of an E-D Nozzle ...

88 ํ™ฉํฌ์„ฑ โ€ค ํ—ˆํ™˜์ผ ํ•œ๊ตญ์ถ”์ง„๊ณตํ•™ํšŒ์ง€

์ผ๋ฐ˜ ์œผ๋กœ ์ถ”๋ ฅ ํšจ์œจ(thrust efficiency)์€ ์—ฐ

์†Œ์‹ค์—์„œ ์ƒ์„ฑ๋œ ๊ธฐ์ฒด๊ฐ€ ๋…ธ์ฆ์„ ํ†ตํ•ด ๋น ์ ธ๋‚˜์˜ฌ

๋•Œ, ๋…ธ์ฆ ์ถœ๊ตฌ์—์„œ์˜ ์••๋ ฅ๊ณผ ๋…ธ์ฆ ๋ฐ–์˜ ์••๋ ฅ์ด

๋™์ผํ•œ ๊ฒฝ์šฐ์— ๊ฐ€์žฅ ์ข‹๋‹ค. ์ผ๋ฐ˜ ์ธ ๋…ธ์ฆ์€ ๋…ธ์ฆ

์ถœ๊ตฌ ๋ฉด ์ด ๊ณ ์ •๋˜์–ด ์žˆ์œผ๋ฏ€๋กœ ๋…ธ์ฆ ์ถœ๊ตฌ์—์„œ

์˜ ์••๋ ฅ์ด ์ผ์ •ํ•˜์ง€๋งŒ, ๊ธฐ์˜ ์••๋ ฅ์€ ๊ณ ๋„์— ๋”ฐ

๋ผ ๋ณ€ํ•œ๋‹ค. ๋”ฐ๋ผ์„œ ์„ค๊ณ„ ๊ณ ๋„ ์ด์™ธ์˜ ๋ชจ๋“  ๊ณ ๋„

์—์„œ๋Š” ๋…ธ์ฆ ์ถœ๊ตฌ ์••๋ ฅ๊ณผ ๊ธฐ์••์˜ ์ฐจ์••์ด ๋ฐœ์ƒ

ํ•˜๊ฒŒ ๋˜์–ด ๋…ธ์ฆ์˜ ํšจ์œจ์ด ๊ฐ์†Œํ•œ๋‹ค. ์ด๋Ÿฌํ•œ ๋…ธ์ฆ

์˜ ํšจ์œจ ๊ฐ์†Œ๋ฅผ ์ตœ์†Œํ™”ํ•ด์ฃผ๋Š” ๊ณ ๋„ ๋ณด์ • ๋…ธ์ฆ

(altitude-compensation nozzle)์— ํ•œ ์—ฐ๊ตฌ๋Š”

50 ๋…„ ๋ถ€ํ„ฐ ์กด์žฌํ•ด ์™”๋‹ค[1].

๊ณ ๋„ ๋ณด์ • ๋…ธ์ฆ์˜ ํ•œ ์ข…๋ฅ˜์ธ E-D (Expansion-

Deflection) ๋…ธ์ฆ์€ ๋…ธ์ฆ ์ถœ๊ตฌ์— ์กด์žฌํ•˜๋Š” ํ•€ํ‹€(p

intle) ํ˜น์€ ์œ ๋™ ๋ณ€๋ฅ˜๊ธฐ(flow deflector)๋ฅผ ์ด์šฉํ•ด

์–ด๋Š ์œ ํ•œ์˜ ์œ ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด ์— ๋ณ€ํ™”๋ฅผ ์œ 

๋„ํ•˜์—ฌ ๊ณ ๋„์— ์‘ํ•˜๋Š” ์›๋ฆฌ๋ฅผ ๊ฐ€์ง„๋‹ค. ๋…ธ์ฆ ์ถœ

๊ตฌ์— ์กด์žฌํ•˜๋Š” ํ•€ํ‹€ ํ˜น์€ ์œ ๋™ ๋ณ€๋ฅ˜๊ธฐ๋ฅผ ํ†ตํ•ด

๋…ธ์ฆ ๋‚ด๋ถ€์— ์„ฑ ํ›„๋ฅ˜ ์—ญ์ด ๋‚˜ํƒ€๋‚˜๊ฒŒ ๋˜๋Š”๋ฐ,

์ด ์œ ๋™ ์—ญ์œผ๋กœ ์ธํ•˜์—ฌ ๋‚ฎ์€ ๊ณ ๋„ ์กฐ๊ฑด์—์„œ๋Š”

๋ฌผ๋ฆฌ ์œผ๋กœ ๋‚˜ํƒ€๋‚˜๋Š” ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด ๋ณด๋‹ค ์ž‘์€

์œ ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด ์„ ๊ฐ€์ง€๊ฒŒ ๋œ๋‹ค. ํ•˜์ง€๋งŒ ๊ณ 

๋„๊ฐ€ ์ƒ์Šนํ•จ์— ๋”ฐ๋ผ ๋…ธ์ฆ์˜ ์••๋ ฅ๋น„(nozzle press

ure ratio, NPR)๊ฐ€ ์ฆ๊ฐ€ํ•˜๊ฒŒ ๋˜๋ฉด ๋…ธ์ฆ์˜ ์œ ํšจ

์ถœ๊ตฌ ๋ฉด ์ด ์ฆ๊ฐ€ํ•˜๊ฒŒ ๋œ๋‹ค. ์ด๋Ÿฐ ์œ ๋™ ์—ญ์€

๊ณ ๋„์—์„œ ๊ฐœ๋ฐฉ(open) ์œ ๋™์žฅ์ด๋ผ๊ณ  ํ•˜๋ฉฐ, ๊ณ ๊ณ 

๋„์—์„œ๋Š” ํ์‡„(closed)์œ ๋™์žฅ์ด๋ผ ํ•œ๋‹ค. E-D ๋…ธ

์ฆ์˜ ์œ ๋™ ํŠน์„ฑ์€ Fig. 1์„ ํ†ตํ•ด ํ™•์ธํ•  ์ˆ˜ ์žˆ

๋‹ค.

E-D ๋…ธ์ฆ์˜ ๊ฒฝ์šฐ ๊ตญ๋‚ด์—์„œ๋Š” ์•„์ง ์—ฐ๊ตฌ๋˜์ง€

์•Š์•˜๋‹ค. ํ•˜์ง€๋งŒ ํ•ด์™ธ์˜ ๊ฒฝ์šฐ 1960๋…„ ๋ถ€ํ„ฐ ์—ฐ๊ตฌ

๋ฅผ ์‹œ์ž‘ํ•˜ ๋‹ค. ๋ฏธ๊ตญ์˜ ๊ฒฝ์šฐ 1960๋…„ ์— E-D ๋…ธ

์ฆ์— ํ•œ ๊ฐœ๋…์„ ์„ธ์›Œ ์—ฌ๋Ÿฌ ๊ฐ€์ง€ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰

ํ•˜ ์œผ๋ฉฐ, 1970๋…„ ์—๋Š” ๊ณ ๋„ ๋ณด์ •์— ํ•œ ํšจ๊ณผ

์™€ ๋”๋ถˆ์–ด E-D ๋…ธ์ฆ์˜ throttling์— ํ•œ ์—ฐ๊ตฌ๋ฅผ

์ˆ˜ํ–‰ํ•˜ ๋‹ค[2]. ํ˜ธ์ฃผ์˜ new south wales ํ•™๊ต

์—์„œ๋Š” ๋‹ค์–‘ํ•œ E-D ๋…ธ์ฆ ํ˜•์ƒ์„ ์„ค๊ณ„ํ•˜๊ณ  ์ด๋“ค

์˜ ์„ฑ๋Šฅ์„ ์•…ํ•˜๋Š” ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜๊ณ  ์žˆ์œผ๋ฉฐ, ์‹ค

ํ—˜ ์—ฐ๊ตฌ๋ฅผ ํ†ตํ•ด ์ผ๋ฐ˜ ์ธ ๋…ธ์ฆ๊ณผ์˜ ์œ ๋™์žฅ

์ถ”๋ ฅ ์„ฑ๋Šฅ์— ํ•˜์—ฌ ๋น„๊ต ๋ถ„์„ํ•˜๋Š” ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰

ํ•˜ ๋‹ค[1,3]. ์ด ์™ธ์— ๊ตญ์˜ Bristol ํ•™๊ต์—์„œ

Fig. 1 Flow behavior in the E-D nozzle[1] ((a) open

mode and (b) closed mode).

๋Š” E-D ๋…ธ์ฆ์— ํ•˜์ด ๋ฆฌ๋“œ ๋กœ์ผ“์„ ์šฉํ•˜์—ฌ ์—ฐ

์†Œ์‹œํ—˜์„ ์ˆ˜ํ–‰ํ•˜ ์œผ๋ฉฐ[4], ๋…์ผ์˜ DLR(german

aerospace center)์—์„œ๋Š” ๊ณต์••์‹œํ—˜์„ ํ†ตํ•ด ์œ ๋™

๋ฐ•๋ฆฌ์™€ ์ถฉ๊ฒฉ ๋“ฑ์˜ ์œ ๋™์žฅ ๋ถ„์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜

๋‹ค[5].

๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ์ˆ˜์น˜ ์—ฐ๊ตฌ๋ฅผ ํ†ตํ•ด ๊ณ ๋„ ์กฐ๊ฑด

๋ณ€ํ™”๋ฅผ ํ†ตํ•œ E-D ๋…ธ์ฆ์˜ ๊ณ ๋„ ๋ณด์ • ํšจ๊ณผ๋ฅผ ๋ถ„์„

ํ•˜ ์œผ๋ฉฐ, ํ•€ํ‹€์„ ํ†ตํ•ด ๋…ธ์ฆ ๋ชฉ ๋ฉด ์„ ๋ณ€ํ™”์‹œํ‚ด

์œผ๋กœ์จ E-D ๋…ธ์ฆ์˜ throttling์— ํ•œ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜

ํ–‰ํ•˜ ๋‹ค.

2. ์ˆ˜์น˜ํ•ด์„ ๋ชจ๋ธ ์กฐ๊ฑด

2.1 E-D ๋…ธ์ฆ ํ•ด์„ ๋ชจ๋ธ ์„ ์ •

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ณ ๋„ ์กฐ๊ฑด ๋ณ€ํ™”๋ฅผ ํ†ตํ•œ E-D ๋…ธ

์ฆ์˜ ๊ณ ๋„ ๋ณด์ • ํšจ๊ณผ์™€ throttling ํšจ๊ณผ๋ฅผ ์‚ดํŽด๋ณด

๊ธฐ ํ•˜์—ฌ Fig. 2์˜ ๋ชจ์‹๋„๋ฅผ ์ด์šฉํ•˜์—ฌ E-D ๋…ธ์ฆ

์„ ์„ค๊ณ„ํ•˜ ๋‹ค. Fig. 2๋Š” ์›ํ˜ธ(circular arcs)๋ฅผ ์ด

์šฉํ•˜์—ฌ E-D ๋…ธ์ฆ์„ ์„ค๊ณ„ํ•˜๋Š” ๋ฐฉ๋ฒ•์œผ๋กœ ํ•€ํ‹€์˜

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์ œ20๊ถŒ ์ œ3ํ˜ธ 2016. 6. ๊ณ ๋„ ๋ณด์ •์šฉ E-D ๋…ธ์ฆ์˜ ์ถ”๋ ฅ ํŠน์„ฑ์— ํ•œ ์ˆ˜์น˜ํ•ด์„ ์—ฐ๊ตฌ 89

Fig. 2 E-D nozzle geometry schematic[1].

Fig. 3 Configuration of E-D nozzle.

15 mm 75ยฐ 75ยฐ 37.5 mm

75ยฐ 150 mm 7.5 mm 7.5 mm

Table 1. E-D Nozzle geometric parameters.

ํ˜•์ƒ, ๋…ธ์ฆ ๋ชฉ, ๋…ธ์ฆ ํŒฝ์ฐฝ๋ถ€ ๋ชจ๋‘ ์›ํ˜ธ๋ฅผ ์ด์šฉํ•˜

์—ฌ ์„ค๊ณ„ํ•˜ ๋‹ค. Fig. 2์—์„œ c์™€ t ์‚ฌ์ด์˜ ๊ฑฐ๋ฆฌ

๋Š” ๊ธฐ์กด ์—ฐ๊ตฌ[1]์™€ ๋™์ผํ•˜๊ฒŒ 15 mm๋กœ ๊ฒฐ์ •ํ•˜

๋‹ค. ํ•€ํ‹€์˜ d์™€ e์˜ ๊ฐ๋„๋Š” ๊ฐ ๊ฐ 0ยฐ, 90ยฐ๋กœ

๊ฒฐ์ •ํ•˜ ์œผ๋ฉฐ, ๋…ธ์ฆ ํŒฝ์ฐฝ๋น„๋Š” 17.6 ์ด๋‹ค. ์„ค๊ณ„๋œ

ํ•€ํ‹€์˜ ํ˜•์ƒ์€ Fig. 3๊ณผ ๊ฐ™์œผ๋ฉฐ ๊ฐ ๊ฐ์˜ ์„ค๊ณ„ ์ˆ˜

์น˜๋Š” Table 1๊ณผ ๊ฐ™๋‹ค.

2.2 ์ˆ˜์น˜ํ•ด์„ ์กฐ๊ฑด

E-D ๋…ธ์ฆ์˜ ์ˆ˜์น˜ํ•ด์„ ์กฐ๊ฑด์€ Table 2์™€ ๊ฐ™๋‹ค.

์‚ฐ์ˆ˜์น˜ํ•ด์„์€ Fluent 15.0 ๋ฒ„ ์˜ ์ƒ์šฉ์ฝ”๋“œ๋ฅผ

์‚ฌ์šฉํ•˜ ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ์ด 2 ๊ฐ€์ง€์˜ ์—ฐ๊ตฌ๋ฅผ

Pre-ProcessingCATIA V5/

Gambit 2.4.6

Solver Fluent 15.0

Working Fluid Cold gas

Wall Condition <2

Turbulent model Spalart-Allmaras

Far-Field distance x/L=100, y/L=40

Number of grids Approx. 210000

Domain Planar

Table 2. CFD analysis conditions.

Fig. 4 Schematic of E-D nozzle grid system[8].

์ˆ˜ํ–‰ํ•˜ ๋‹ค. ๊ณ ๋„ ๋ณด์ •์— ํ•œ ํšจ๊ณผ๋ฅผ ๋‹จํ•˜๊ธฐ

ํ•œ ํ•ด์„ ์—ฐ๊ตฌ์—์„œ๋Š” ์ž…๊ตฌ์กฐ๊ฑด์„ ์••๋ ฅ ์ž…๊ตฌ

์กฐ๊ฑด(pressure inlet)์œผ๋กœ ๊ตฌ์„ฑํ•˜ ์œผ๋ฉฐ, throttling

์— ํ•œ ์—ฐ๊ตฌ๋Š” ์ž…๊ตฌ์กฐ๊ฑด์„ ์งˆ๋Ÿ‰์œ ๋Ÿ‰ ์กฐ๊ฑด(mass

flow inlet)์œผ๋กœ ์„ค์ •ํ•˜ ๋‹ค. ์••๋ ฅ ์ž…๊ตฌ ์กฐ๊ฑด์˜

๊ฒฝ์šฐ ์—ฐ์†Œ์‹ค ์••๋ ฅ์„ 5 atm (506,625 bara)๋กœ ์„ค

์ •ํ•ด์ฃผ์—ˆ์œผ๋ฉฐ, ์งˆ๋Ÿ‰์œ ๋Ÿ‰ ์กฐ๊ฑด์—์„œ๋Š” ์งˆ๋Ÿ‰์œ ๋Ÿ‰์ด

50 g/s๋กœ ์œ ์ž…๋˜๋„๋ก ์„ค์ •ํ•˜ ๋‹ค. ์ž‘๋™ ์œ ์ฒด๋Š”

์ด์ƒ๊ธฐ์ฒด์˜ ๊ณต๊ธฐ, ์˜จ๋„๋Š” 300 K๋กœ ์„ค์ •ํ•˜ ๋‹ค.

Far-field์˜ ํฌ๊ธฐ๋Š” ์ถ”๋ ฅ๊ธฐ ๊ธธ์ด๋ฅผ ๊ธฐ ์œผ๋กœ ๊ฐ€๋กœ

100๋ฐฐ, ์„ธ๋กœ 40๋ฐฐ๋กœ ๊ตฌ์„ฑํ•˜ ๋‹ค. ์ˆ˜์น˜ํ•ด์„์„

ํ•œ ๋‚œ๋ฅ˜๋ชจ๋ธ์€ ๊ตญ๋‚ด ์„ ํ–‰์—ฐ๊ตฌ[6,7]๋กœ ์ˆ˜ํ–‰ํ•˜ ๋˜

ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์˜ ํ•ด์„ ์—ฐ๊ตฌ ๊ฒฐ๊ณผ๋ฅผ ๋ฐ”ํƒ•์œผ๋กœ

Spalart-Allmaras ๋ชจ๋ธ์„ ์‚ฌ์šฉํ•˜ ๋‹ค.

Fig. 4๋Š” ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉ๋˜๋Š” E-D ๋…ธ์ฆ์˜ ๊ฒฉ

์ž ๊ตฌ์„ฑ๋„๋กœ Fig. 3๊ณผ ๊ฐ™์ด ์„ค๊ณ„๋œ E-D ๋…ธ์ฆ์„

Gambit 2.4.6 ๋ฒ„ ์„ ์ด์šฉํ•˜์—ฌ ๊ฒฉ์ž๋ฅผ ์ƒ์„ฑํ•˜

๋‹ค. ๊ฒฉ์ž๋Š” ๋ชจ๋‘ ์‚ฌ๊ฐ ์ •๋ ฌ ๊ฒฉ์ž๋ฅผ ์‚ฌ์šฉํ•˜ ์œผ๋ฉฐ

๊ฒฉ์ž์ˆ˜๋Š” ์•ฝ 21 ๋งŒ๊ฐœ๋กœ ๊ตฌ์„ฑ๋˜์–ด ์žˆ์œผ๋ฉฐ ๊ฐ€

2 ์ดํ•˜๋กœ ๊ตฌ์„ฑ๋˜์–ด์žˆ๋‹ค.

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90 ํ™ฉํฌ์„ฑ โ€ค ํ—ˆํ™˜์ผ ํ•œ๊ตญ์ถ”์ง„๊ณตํ•™ํšŒ์ง€

2.3 ํ•ด์„ ๊ฒฐ๊ณผ ๊ทธ๋ž˜ ๊ธฐ ์ •์˜

๋ณธ ์—ฐ๊ตฌ์—์„œ ์ถ”๋ ฅ๊ธฐ์˜ ํ˜•์ƒ์€ Inlet(x=0 mm)

์„ ๊ธฐ ์œผ๋กœ ์„ค๊ณ„๋˜์—ˆ๋‹ค. ๋ณธ E-D ๋…ธ์ฆ์˜ ๊ฒฝ์šฐ

ํ•€ํ‹€ ๋จธ๋ฆฌ๊ฐ€ ๋…ธ์ฆ ํŒฝ์ฐฝ๋ถ€์— ์กด์žฌํ•˜๋ฏ€๋กœ ๋‚ด๋ถ€ ์œ 

๋™๋ณด๋‹ค๋Š” ๋…ธ์ฆ ํŒฝ์ฐฝ๋ถ€์˜ ์™ธ๋ถ€์œ ๋™์„ ๋ถ„์„ํ•˜ ๋‹ค.

๋”ฐ๋ผ์„œ Fig. 5์™€ ๊ฐ™์ด ํ•€ํ‹€ ๋…ธ์ฆ์˜ ๋ฒฝ๋ฉด์••๋ ฅ,

๋„ ๋“ฑ์˜ ๊ฐ’๋“ค์€ ํ•€ํ‹€ ๋…ธ์ฆ์˜ ๋ฒฝ๋ฉด์—์„œ

Throat gap์˜ X์ถ• ์ขŒํ‘œ๋ฅผ ๊ธฐ ์œผ๋กœ X ์ถ• ์ฒด

๋ฅผ ๋ฌด์ฐจ์›ํ™” ํ•ด์ฃผ์—ˆ๋‹ค. ์ด๋ฅผ ํ™œ์šฉํ•˜์—ฌ ๋…ธ์ฆ ๋ฒฝ๋ฉด

ํ˜น์€ ํ•€ํ‹€ ๋ฒฝ๋ฉด์˜ ์••๋ ฅ๋ถ„ํฌ๋ฅผ ๋‚˜ํƒ€๋‚ด์—ˆ๊ณ , ๊ฐ ๊ฐ

์˜ ๋…ธ์ฆ ํ•€ํ‹€ ๋ฒฝ๋ฉด ์••๋ ฅ ๋ถ„ํฌ๋Š” Throat gap

๋ถ€ํ„ฐ ๋…ธ์ฆ ํ•€ํ‹€ ๋๋‹จ๊นŒ์ง€์˜ ๊ฐ’์„ ๊ทธ๋ž˜ ๋กœ

ํ‘œ์‹œํ•˜ ๋‹ค.

2.4 ์‚ฐ์ˆ˜์น˜ํ•ด์„ ๊ฒ€์ฆ

2.4.1 ๊ฒฉ์ž์ˆ˜์— ๋”ฐ๋ฅธ ์‹คํ—˜ ๊ฒฐ๊ณผ

์‚ฐ์ˆ˜์น˜ํ•ด์„์€ ์ปดํ“จํ„ฐ๋ฅผ ์ด์šฉํ•˜์—ฌ ์šด๋™๋Ÿ‰, ์—

์ง€ ๋“ฑ์˜ ์ง€๋ฐฐ๋ฐฉ์ •์‹์„ ํ†ตํ•ด ๋ฐ˜๋ณต๊ณ„์‚ฐ์„ ์ˆ˜ํ–‰

ํ•จ์œผ๋กœ์จ ๊ฒฐ๊ณผ๋ฅผ ๋„์ถœํ•˜๊ธฐ ๋•Œ๋ฌธ์— ๊ฒฉ์ž์˜ ์ˆ˜์™€

์งˆ(Quality)์ด ์š”ํ•˜๋‹ค. ๋”ฐ๋ผ์„œ E-D ๋…ธ์ฆ์˜ ์„ฑ

๋Šฅ ๋ถ„์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜๊ธฐ ์— ์ˆ˜์น˜ํ•ด์„์˜ ์ˆ˜๋ ด

์‹œ๊ฐ„์„ ๋‹จ์ถ•ํ•˜๋ฉด์„œ ํ•ด์„ ๊ฒฐ๊ณผ์˜ ์ •ํ™•๋„๋ฅผ ์œ ์ง€

ํ•˜๊ธฐ ํ•ด ๋ถˆํ•„์š”ํ•œ ์œ ๋™์žฅ์˜ ๊ฒฉ์ž์ˆ˜๋ฅผ ์ด๊ธฐ

ํ•˜์—ฌ ๊ฒฉ์ž์ˆ˜์— ๋”ฐ๋ฅธ ํ•ด์„ ๊ฒฐ๊ณผ๋ฅผ ๋ถ„์„ํ•˜ ๋‹ค.

์„ค๊ณ„๋œ E-D ๋…ธ์ฆ์„ ์ด์šฉํ•˜์—ฌ ๋™์ผํ•œ ์œ ๋™์žฅ๊ณผ

ํ•ด์„ ์กฐ๊ฑด์„ ์„ค์ •ํ•˜์—ฌ ์ˆ˜์น˜ํ•ด์„์„ ์ง„ํ–‰ํ•˜ ๊ณ ,

๊ทธ ๊ฒฐ๊ณผ๋Š” Fig. 6๊ณผ ๊ฐ™๋‹ค. ์ˆ˜์น˜ ํ•ด์„ ๊ฒฐ๊ณผ ์•ฝ 28

๋งŒ๊ฐœ์˜ ๊ฒฉ์ž์ˆ˜๋ฅผ ๊ฐ€์ง„ ๊ฒฝ์šฐ์™€ ์•ฝ 21 ๋งŒ๊ฐœ์˜ ๊ฒฉ

์ž์ˆ˜๋ฅผ ๊ฐ€์ง„ ๊ฒฝ์šฐ๊ฐ€ ๋™์ผํ•œ ๊ฒฝํ–ฅ์„ฑ์„ ๊ฐ€์ง€๋Š” ๊ฒƒ

์„ ํ™•์ธํ•˜ ๋‹ค. ํ•œ ํ•€ํ‹€ ๋ฒฝ๋ฉด์˜ ์ •์••๋ถ„ํฌ๋ฅผ ์ด

์šฉํ•˜์—ฌ ๊ณต๋ ฅํ•˜ ์„ ๋ถ„์„ํ•˜ ์œผ๋ฉฐ, ์•ฝ 0.06%์˜ ์˜ค

์ฐจ๋ฒ” ์—์„œ ์ผ์น˜ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜ ๋‹ค. ๋”ฐ๋ผ์„œ

๊ฒฉ์ž์˜ ์ˆ˜๋ฅผ ์•ฝ 21๋งŒ ๊ฐœ๋กœ ๊ตฌ์„ฑํ•˜์—ฌ ํ•ด์„ ์—ฐ

๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค.

Fig. 5 Definition of coordinates ((a) Pintle wall, (b)

Nozzle wall).

2.4.2 ๊ธฐ์กด ์‹คํ—˜ ๊ฒฐ๊ณผ๋ฅผ ์ด์šฉํ•œ ์ˆ˜์น˜ํ•ด์„ ๊ฒ€์ฆ

์ˆ˜์น˜ํ•ด์„์„ ํ†ตํ•ด E-D ๋…ธ์ฆ์˜ ์„ฑ๋Šฅ์„ ๋ถ„์„ํ•˜๊ธฐ

, ์ˆ˜์น˜ํ•ด์„ ๊ฒฐ๊ณผ์˜ ์‹ ๋ขฐ์„ฑ ๊ฒ€์ฆ์„ ํ•ด ๊ณต์••

์‹คํ—˜ ๊ฒฐ๊ณผ[1]์™€ ํ•ด์„ ๊ฒฐ๊ณผ๋ฅผ ๋น„๊ตํ•˜ ๋‹ค. ๊ณต์••

์‹คํ—˜ ๋ชจ๋ธ์€ ์•„๋ž˜์˜ Fig. 7๊ณผ ๊ฐ™์œผ๋ฉฐ, ๊ณต๊ธฐ๋ฅผ ์ด

์šฉํ•˜์—ฌ ์‹คํ—˜์„ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ์„ ํ–‰์—ฐ๊ตฌ[1]์—์„œ ์—ฐ

์†Œ์‹ค ์••๋ ฅ์€ ๋…ธ์ฆ ์••๋ ฅ๋น„ 5~25๋กœ ์„ค์ •ํ•˜ ์œผ๋ฉฐ,

Number of grids Aerodynamic load

278,946 62.96 N

211,846 63 N

Table 3. Aerodynamic load according to different grid

models.

(a)

(b)

Fig. 6 Static pressure distributions ((a): Nozzle wall, (b):

Pintle wall).

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์ œ20๊ถŒ ์ œ3ํ˜ธ 2016. 6. ๊ณ ๋„ ๋ณด์ •์šฉ E-D ๋…ธ์ฆ์˜ ์ถ”๋ ฅ ํŠน์„ฑ์— ํ•œ ์ˆ˜์น˜ํ•ด์„ ์—ฐ๊ตฌ 91

๊ทธ 4 ๊ฐ€์ง€ ๋…ธ์ฆ ์••๋ ฅ๋น„๋ฅผ ์„ ์ •ํ•˜์—ฌ ์‹คํ—˜์„

์ˆ˜ํ–‰ํ•˜ ๋‹ค. Fig. 8๊ณผ ๊ฐ™์ด ์‹คํ—˜๊ณผ ๋™์ผํ•œ ํ˜•์ƒ

์˜ ๋…ธ์ฆ์„ ์„ค๊ณ„ํ•˜์—ฌ ์‹คํ—˜๊ฒฐ๊ณผ์™€ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ

๋น„๊ตํ•˜ ๋‹ค. ๋‚œ๋ฅ˜ ๋ชจ๋ธ์€ Spalart-Allmaras ๋ชจ๋ธ

์„ ์‚ฌ์šฉํ•˜ ๊ณ  ๋Š” 2 ์ดํ•˜๋กœ ์œ ์ง€ํ•˜ ๋‹ค. ๊ทธ

Fig. 7 Experimental setup with E-D nozzle[1].

Fig. 8 Configuration of E-D nozzle for CFD validation.

Fig. 9 Comparison of numerical and experimental[1]

thrust coefficient.

๊ฒฐ๊ณผ๋Š” Fig. 9์™€ ๊ฐ™์œผ๋ฉฐ ์ถ”๋ ฅ ๊ณ„์ˆ˜์˜ ๊ฐ’์ด ์‹คํ—˜

๊ฒฐ๊ณผ์™€ ํ•ด์„ ๊ฒฐ๊ณผ๊ฐ€ ์•ฝ 5% ์ดํ•˜์˜ ์ฐจ์ด๋ฅผ ๋ณด

์œผ๋ฉฐ, ์ถ”๋ ฅ์˜ ๊ฒฝ์šฐ ๋ชจ๋‘ ์•ฝ 3 N ์ดํ•˜์˜ ์ฐจ์ด๋ฅผ

๋ณด ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด E-D ๋…ธ์ฆ์˜ ์‹คํ—˜๊ฒฐ๊ณผ์™€ ํ•ด์„

๊ฒฐ๊ณผ๊ฐ€ ์ผ์น˜ํ•จ์„ ํ™•์ธํ•˜ ๋‹ค.

3. ์ˆ˜์น˜ํ•ด์„ ๊ฒฐ๊ณผ

3.1 ๊ณ ๋„์— ๋”ฐ๋ฅธ E-D ๋…ธ์ฆ์˜ ํŠน์„ฑ

E-D ๋…ธ์ฆ์€ ์•ž์„œ ์„ค๋ช…ํ•œ ๋ฐ”์™€ ๊ฐ™์ด ์œ ํšจ ๋…ธ์ฆ

์ถœ๊ตฌ ๋ฉด ์— ๋ณ€ํ™”๋ฅผ ์œ ๋„ํ•˜์—ฌ ๊ณ ๋„ ๋ณ€ํ™”์— ์‘

ํ•˜๋Š” ์›๋ฆฌ๋ฅผ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ๊ณ ๋„ ๋ณ€ํ™”์—

๋”ฐ๋ฅธ ๋…ธ์ฆ์˜ ํŠน์„ฑ์„ ์•…ํ•˜๊ธฐ ํ•˜์—ฌ ์—ฐ์†Œ์‹ค ์••

๋ ฅ์„ ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€ํ•˜๊ณ , ๋…ธ์ฆ ์••๋ ฅ๋น„(NPR)๋ฅผ 5.

0(ํ•ด์ˆ˜๋ฉด ์กฐ๊ฑด), 19.1(๊ณ ๋„ 10 km ์กฐ๊ฑด), 48.9(๊ณ 

๋„ 16 km ์กฐ๊ฑด)๋กœ ์„ค์ •ํ•˜์—ฌ ์œ ๋™ ํ•ด์„์„ ์ˆ˜ํ–‰ํ•˜

๋‹ค. Inlet ์กฐ๊ฑด์€ ์••๋ ฅ ์ž…๊ตฌ ์กฐ๊ฑด์„ ์‚ฌ์šฉํ•˜ ๊ณ 

์‹คํ—˜์‹ค์—์„œ ๋ณด์œ  ์ธ HAP (Hypersonic Air-bre

athing Propulsion) ๋กœ๊ทธ๋žจ์„ ์ด์šฉํ•˜์—ฌ ๊ฐ ๊ฐ

์˜ ๊ณ ๋„ ์กฐ๊ฑด์— ๋งž๋Š” ์••๋ ฅ, ์˜จ๋„ ๊ฐ’์„ ์–ป์–ด ํ•ด์„

์กฐ๊ฑด์œผ๋กœ ์„ค์ •ํ•ด ์ฃผ์—ˆ๋‹ค. ๊ทธ ๊ฒฐ๊ณผ ๋…ธ์ฆ ์••๋ ฅ๋น„์—

๋”ฐ๋ฅธ ์œ ๋™์žฅ์€ ๋‹ค์Œ Fig. 10๊ณผ ๊ฐ™๋‹ค.

๊ฐ๊ฐ์˜ ๊ณ ๋„์— ํ•œ ๋งˆํ•˜์ˆ˜ ๋ถ„ํฌ์—์„œ ํ™•์ธํ• 

์ˆ˜ ์žˆ๋Š” ๊ฒƒ์ฒ˜๋Ÿผ ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜๋ก ์œ ํšจ ๋…ธ์ฆ

์ถœ๊ตฌ ๋ฉด ์ด ์ฆ๊ฐ€ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค. ์œ 

Fig. 10 Mach number contour according to different

altitudes[8].

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92 ํ™ฉํฌ์„ฑ โ€ค ํ—ˆํ™˜์ผ ํ•œ๊ตญ์ถ”์ง„๊ณตํ•™ํšŒ์ง€

Fig. 11 Pintle wall static pressure distribution according

to different altitudes.

ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด ์ด ์ฆ๊ฐ€ํ•จ์— ๋”ฐ๋ผ ์ถ”๋ ฅ ์—ญ์‹œ

์ฆ๊ฐ€ํ•˜ ๋‹ค. Table 4์—์„œ ๋ณด๋Š” ๋ฐ”์™€ ๊ฐ™์ด ๊ณ ๋„

16 km ์กฐ๊ฑด์—์„œ์˜ ์ถ”๋ ฅ์€ ํ•ด์ˆ˜๋ฉด ์กฐ๊ฑด์—์„œ ๋ณด

๋‹ค ์•ฝ 83%๊ฐ€๋Ÿ‰ ์ฆ๊ฐ€ํ•˜ ์œผ๋ฉฐ, ์ด๋กœ ์ธํ•ด ์ถ”๋ ฅ๊ณ„

์ˆ˜ ์—ญ์‹œ ํฌ๊ฒŒ ์ฆ๊ฐ€ํ•˜ ๋‹ค. ์ด๊ฒƒ์œผ๋กœ ์ธํ•ด ๋…ธ์ฆ์˜

์„ฑ๋Šฅ์ด ๋™์ผํ•œ ์—ฐ์†Œ์‹ค ์••๋ ฅ์ž„์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ  ์ฆ

๊ฐ€ํ•œ๋‹ค๋Š” ๊ฒƒ์„ ์˜๋ฏธํ•œ๋‹ค. ํ•˜์ง€๋งŒ ํ•€ํ‹€์— ์ž‘์šฉํ•˜

๋Š” ๊ณต๋ ฅํ•˜ ์—ญ์‹œ ์•ฝ 56%๊ฐ€๋Ÿ‰ ์ฆ๊ฐ€ํ•จ์„ ํ™•์ธํ•˜

๋Š”๋ฐ, ์ด๋Š” ํ•€ํ‹€์— ์ž‘์šฉํ•˜๋Š” ์••๋ ฅ์˜ ํฌ๊ธฐ๊ฐ€ ์ปค

์กŒ๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค. Fig. 11์—์„œ ๋ณด๋Š” ๋ฐ”์™€ ๊ฐ™์ด ๊ณ 

๋„๊ฐ€ ์ฆ๊ฐ€ํ• ์ˆ˜๋ก ํ•€ํ‹€ ๋ฒฝ๋ฉด์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ์ถฉ๊ฒฉ

๊ฐ€ ํ•€ํ‹€ ๋๋‹จ์œผ๋กœ ์ด๋™ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜

์žˆ๋Š”๋ฐ, ์ด๋Š” ํ•€ํ‹€ ๋’ท๋ฉด์˜ ์••๋ ฅ์ด ๋‚ฎ์•„์ง์— ๋”ฐ๋ผ

ํ•€ํ‹€ ๋ฒฝ๋ฉด์œผ๋กœ ํ˜๋Ÿฌ๋“ค์–ด์˜ค๋Š” ์œ ๋™์ด ์•ฝํ•ด์กŒ๊ธฐ

๋•Œ๋ฌธ์ด๋‹ค. ๋”ฐ๋ผ์„œ ํ•€ํ‹€ ๋’ท๋ฉด์˜ ์••๋ ฅ ํ•˜ ์€ ๊ฐ์†Œ

ํ•˜๊ณ  ํ•€ํ‹€ ๋ฒฝ๋ฉด์˜ ์••๋ ฅํ•˜ ์€ ์ปค์ง€๊ธฐ ๋•Œ๋ฌธ์— ํ•€

ํ‹€์˜ ๊ณต๋ ฅํ•˜ ์€ ๊ณ ๋„๊ฐ€ ๋†’์•„์ง์— ๋”ฐ๋ผ ํฌ๊ฒŒ ๋‚˜

ํƒ€๋‚œ๋‹ค.

ํ•ด์ˆ˜๋ฉด ์กฐ๊ฑด์˜ ๊ฒฝ์šฐ Fig. 12์—์„œ ๋ณด๋Š”๋ฐ”์™€ ๊ฐ™

์ด ํ•€ํ‹€ ์œ—๋ฉด์—์„œ ์ƒ์„ฑ๋œ ๊ฒฝ์‚ฌ์ถฉ๊ฒฉ ๊ฐ€ ๋…ธ์ฆ ๋ฒฝ

๋ฉด์— ๋ถ€๋”ชํžˆ๋ฉด์„œ ๊ฒฝ๊ณ„์ธต ๋ถ„๋ฆฌ ๊ฑฐํ’ˆ(Separation

Bubble)์ด ๋‚˜ํƒ€๋‚ฌ๋‹ค. ์ด ๊ฒฝ๊ณ„์ธต ๋ถ„๋ฆฌ ๊ฑฐํ’ˆ์— ์˜

ํ•ด์„œ ๋‚˜ํƒ€๋‚œ ์ถฉ๊ฒฉ ๋กœ ์ธํ•ด ๋…ธ์ฆ ๋ฒฝ๋ฉด์— ๋ณต์žกํ•œ

์œ ๋™ ๊ตฌ์กฐ๊ฐ€ ๋‚˜ํƒ€๋‚ฌ๋‹ค. ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜๋ก ์ถฉ๊ฒฉ

์˜ ๊ฐ๋„๊ฐ€ ์–ด๋“ค์–ด ๊ฒฝ๊ณ„์ธต ๋ถ„๋ฆฌ ๊ฑฐํ’ˆ์ด ๋…ธ์ฆ

๋๋‹จ์œผ๋กœ ์ด๋™ํ•˜ ์œผ๋ฉฐ ์ถฉ๊ฒฉ ์˜ ๊ฐ•๋„๊ฐ€ ์•ฝํ•ด์ง

์— ๋”ฐ๋ผ ํฌ๊ธฐ๊ฐ€ ์ž‘์•„์กŒ๋‹ค. ๋”ฐ๋ผ์„œ ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• 

Fig. 12 Nozzle wall static pressure distribution according

to different altitudes.

Altitude

[km]

Thrust

[N]

Aero-

dynamic

load [N]

0 13.96 0.626 62.99

10 21.12 0.947 91.53

16 25.58 1.147 98.44

Table 4. Performance of E-D nozzle according to

different altitudes.

์ˆ˜๋ก ๋…ธ์ฆ ๋ชฉ์„ ๋น ์ ธ๋‚˜์˜จ ์œ ๋™์ด ์ถฉ๊ฒฉ ์˜ ํ–ฅ

์„ ํฌ๊ฒŒ ๋ฐ›์ง€ ์•Š๊ณ  ๋‹จ์กฐ๋กญ๊ฒŒ ํ˜๋Ÿฌ๋‚˜์˜ค๋Š” ๊ฒƒ์„

ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค.

3.2 ๋…ธ์ฆ ๋ชฉ ๋ฉด ์— ๋”ฐ๋ฅธ E-D ๋…ธ์ฆ ํŠน์„ฑ

๊ณ ๋„ ๋ณด์ • ํšจ๊ณผ๋ฅผ ์‚ดํŽด๋ณด๋Š” ์—ฐ๊ตฌ์—์„œ๋Š” ์—ฐ์†Œ

์‹ค ์••๋ ฅ์„ ์ผ์ •ํ•˜๊ฒŒ ๊ณ ์ •ํ•œ ํ›„ ์ˆ˜์น˜ํ•ด์„์„ ์ˆ˜ํ–‰

ํ•˜ ์ง€๋งŒ, Throttling์— ํ•œ ์—ฐ๊ตฌ๋Š” Inlet ์กฐ๊ฑด์œผ

๋กœ ์งˆ๋Ÿ‰ ์œ ๋Ÿ‰ ์กฐ๊ฑด์„ ์‚ฌ์šฉํ•˜ ๋‹ค. ์งˆ๋Ÿ‰์œ ๋Ÿ‰์€ ๋ณธ

์—ฐ๊ตฌ์‹ค์—์„œ ์ˆ˜ํ–‰[9]ํ•œ ๋‚ด๋ถ€ํ˜• ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์˜ ๊ณต

์œ ๋Ÿ‰๊ณผ ๋™์ผํ•œ 50 g/s๋กœ ์„ค์ •ํ•˜ ์œผ๋ฉฐ, ๋…ธ์ฆ

๋ชฉ ๋ฉด ๋น„๋ฅผ ๊ธฐ ์„ค๊ณ„ ๋…ธ์ฆ ๋ชฉ ๋ฉด (44.025

)์— ๋น„ํ•˜์—ฌ 100%, 71.2%, 42.8%๋กœ ์„ค์ •ํ•˜์—ฌ

ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค.

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์ œ20๊ถŒ ์ œ3ํ˜ธ 2016. 6. ๊ณ ๋„ ๋ณด์ •์šฉ E-D ๋…ธ์ฆ์˜ ์ถ”๋ ฅ ํŠน์„ฑ์— ํ•œ ์ˆ˜์น˜ํ•ด์„ ์—ฐ๊ตฌ 93

Fig. 13์€ Throttling์— ํ•œ ์—ฐ๊ตฌ์—์„œ ์ด์šฉํ•œ

E-D ๋…ธ์ฆ์˜ ๊ฒฉ์ž ๊ตฌ์„ฑ๋„๋กœ ๊ฒฉ์ž์ˆ˜๋Š” ์•ฝ 21 ๋งŒ๊ฐœ

๋กœ ์‚ผ๊ฐ๊ฒฉ์ž์™€ ์‚ฌ๊ฐ๊ฒฉ์ž๋ฅผ ํ™œ์šฉํ•˜์—ฌ ๋…ธ์ฆ ๋ชฉ๊ณผ

๋…ธ์ฆ ํŒฝ์ฐฝ๋ถ€์— ๊ฒฉ์ž๋ฅผ ์กฐ ํ•˜๊ฒŒ ์ƒ์„ฑํ•ด์ฃผ์—ˆ๋‹ค.

์™ธ๋ถ€ ๊ธฐ ์••๋ ฅ์€ 1 atm(ํ•ด์ˆ˜๋ฉด)์œผ๋กœ ์„ค์ •ํ•ด์ฃผ์—ˆ

์œผ๋ฉฐ, ๋‚œ๋ฅ˜ ๋ชจ๋ธ์€ Spalart-Allmaras ๋ชจ๋ธ์„ ์‚ฌ์šฉ

ํ•˜ ๋‹ค.

Fig. 14๋Š” ๋…ธ์ฆ ๋ชฉ ๋ฉด ๋น„์— ๋”ฐ๋ฅธ ๋งˆํ•˜์ˆ˜ ๋ถ„

ํฌ์ด๋‹ค. ํ•€ํ‹€์ด ์—ฐ์†Œ์‹ค ๋ฐฉํ–ฅ์œผ๋กœ ์ด๋™ํ•˜์—ฌ ๋…ธ์ฆ

Fig. 13 E-D nozzle grid system for throttling analysis.

Fig. 14 Mach number contour according to pintle

stroke.

๋ชฉ ๋ฉด ๋น„๊ฐ€ ์–ด๋“  ๊ฒฝ์šฐ, ๋…ธ์ฆ ๋ชฉ์„ ๋น ์ ธ๋‚˜๊ฐ€๋Š”

์œ ๋™์˜ ๋งˆํ•˜์ˆ˜๊ฐ€ ์ฆ๊ฐ€ํ•˜ ๋‹ค.

Fig. 15๋Š” ํ•€ํ‹€ ๋ฒฝ๋ฉด์˜ ์••๋ ฅ ๋ถ„ํฌ๋กœ, 3๊ฐ€์ง€ ํ•ด

์„๊ฒฐ๊ณผ ๋ชจ๋‘์—์„œ ๋™์ผํ•˜๊ฒŒ ๋…ธ์ฆ ๋ชฉ ๋ถ€๊ทผ์— ์ถฉ๊ฒฉ

๊ฐ€ ๋ฐœ์ƒํ•˜ ๋‹ค. ์ด๋Š” ํ•€ํ‹€ ๋’ท๋ฉด์˜ ์žฌ์ˆœํ™˜ ์—ญ

์œ ๋™์ด ํ•€ํ‹€ ๋ฒฝ๋ฉด์„ ๋”ฐ๋ผ ํƒ€๊ณ  ํ˜๋Ÿฌ๋‚ด๋ ค์˜ค๋ฉด์„œ

๊ธฐ(wedge)์—ญํ• ์„ ํ•˜์—ฌ ์ถฉ๊ฒฉ ๊ฐ€ ์ƒ์„ฑ๋œ ๊ฒƒ์œผ

๋กœ ๋‹จ๋œ๋‹ค. ๋…ธ์ฆ ๋ชฉ ๋ฉด ๋น„๊ฐ€ ์–ด๋“ค๊ฒŒ ๋˜๋Š”

๊ฒฝ์šฐ ๋…ธ์ฆ ๋ชฉ ๋ถ€๊ทผ์—์„œ ํ˜•์„ฑ๋˜๋Š” ์ถฉ๊ฒฉ ์˜ ๊ฐ•๋„

๊ฐ€ ์•ฝํ•ด์ง€๋Š” ๊ฒƒ์„ ํ•€ํ‹€ ๋ฒฝ๋ฉด ์ •์•• ๋ถ„ํฌ๋ฅผ

ํ†ตํ•ด ์•Œ ์ˆ˜ ์žˆ๋‹ค. ํ•œ ํ•€ํ‹€ ๋ฒฝ๋ฉด์—์„œ ํ˜•์„ฑ๋˜๋Š”

์ถฉ๊ฒฉ ์˜ ๊ฐ๋„๊ฐ€ ํ•€ํ‹€ ๋…ธ์ฆ ๋ชฉ ๋ฉด ์ด ๊ฐ์†Œํ• ์ˆ˜

Fig. 15 Static pressure distribution according to pintle

stroke (Pintle wall).

Fig. 16 Static pressure distribution according to pintle

stroke (Nozzle wall).

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94 ํ™ฉํฌ์„ฑ โ€ค ํ—ˆํ™˜์ผ ํ•œ๊ตญ์ถ”์ง„๊ณตํ•™ํšŒ์ง€

Throat

Area

[bara]

Thrust

[N]

Aero-

dynamic

load

[N]

100% 4.92 10.08 0.465 61.73

71.2% 6.90 12.12 0.561 99.57

42.8% 11.46 14.43 0.668 184.59

Table 5. Performance of E-D nozzle according to

pintle stroke.

๋ก ์ž‘์•„์ง€๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜ ๋‹ค.

ํ•€ํ‹€ ์œ—๋ฉด์—์„œ ์ƒ์„ฑ๋œ ์ถฉ๊ฒฉ ๋กœ ์ธํ•˜์—ฌ Fig.

16์—์„œ ๋ณด๋“ฏ ๋…ธ์ฆ ๋ฒฝ๋ฉด์— ๊ฒฝ๊ณ„์ธต ๋ถ„๋ฆฌ ๊ฑฐํ’ˆ์ด

ํ˜•์„ฑ๋˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ๋…ธ์ฆ ๋ฒฝ

๋ฉด ์••๋ ฅ ๋ถ„ํฌ๋Š” ์•ž ์„  ๊ณ ๋„ ๋ณด์ • ์—ฐ๊ตฌ์—์„œ ์ˆ˜ํ–‰

ํ•˜ ๋˜ ํ•ด์ˆ˜๋ฉด ์กฐ๊ฑด์˜ ๋…ธ์ฆ ์ •์•• ๋ถ„ํฌ(Fig. 12)์™€

๋™์ผํ•œ ๊ฒฝํ–ฅ์„ฑ์„ ๊ฐ€์ง„๋‹ค. ๋…ธ์ฆ ๋ชฉ์„ ๋น ์ ธ๋‚˜์˜ค๋Š”

์œ ๋™์˜ ๋งˆํ•˜์ˆ˜๊ฐ€ ์ฆ๊ฐ€ํ•จ์— ๋”ฐ๋ผ ์ถฉ๊ฒฉ ์˜ ๊ฐ๋„

๊ฐ€ ์ž‘์•„์ง€๊ฒŒ ๋˜์–ด ๊ฒฝ๊ณ„์ธต ๋ถ„๋ฆฌ ๊ฑฐํ’ˆ์ด ๋…ธ์ฆ ๋ชฉ

๋ฉด ์ด ์ž‘์•„์งˆ์ˆ˜๋ก ๋…ธ์ฆ ์ถœ๊ตฌ ์ชฝ์œผ๋กœ ์ด๋™ํ•˜์—ฌ

ํ˜•์„ฑ๋˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค.

Table 5์—์„œ ๋ณด๋ฉด ์ผ๋ฐ˜ ์ธ ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์™€ ๋™

์ผํ•˜๊ฒŒ ๋…ธ์ฆ ๋ชฉ ๋ฉด ์ด ๊ฐ์†Œํ• ์ˆ˜๋ก E-D ๋…ธ์ฆ์˜

์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ์ฆ๊ฐ€ํ•˜ ์œผ๋ฉฐ, ์ถ”๋ ฅ ์—ญ์‹œ ์ƒ์Šนํ•˜

๋‹ค. ๋…ธ์ฆ ๋ชฉ ๋ฉด ๋น„๊ฐ€ ์•ฝ 42.8%๋กœ ๊ฐ์†Œํ•œ ๊ฒฝ์šฐ

์—ฐ์†Œ์‹ค ์••๋ ฅ์€ ์•ฝ 2.3๋ฐฐ ์ฆ๊ฐ€ํ•˜ ์œผ๋ฉฐ, ์ถ”๋ ฅ์€

์•ฝ 1.4๋ฐฐ ์ฆ๊ฐ€ํ•˜ ๋‹ค. ํ•˜์ง€๋งŒ ์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ๋†’

์•„์ง์— ๋”ฐ๋ผ ํ•€ํ‹€์˜ ๊ณต๋ ฅํ•˜ ์—ญ์‹œ ์•ฝ 3๋ฐฐ ์ฆ๊ฐ€

ํ•˜ ๋‹ค.

4. ๊ฒฐ ๋ก 

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ณ ๋„ ๋ณด์ • ๋…ธ์ฆ์˜ ํ•œ ์ข…๋ฅ˜์ธ

E-D ๋…ธ์ฆ์˜ ์ˆ˜์น˜ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ์—ฐ

์†Œ์‹ค ์••๋ ฅ์„ ๋™์ผํ•˜๊ฒŒ ์œ ์ง€ํ•˜๊ณ  ์™ธ๋ถ€ ๊ธฐ ํ™˜๊ฒฝ

์กฐ๊ฑด์„ ๋ณ€๊ฒฝํ•˜์—ฌ ๊ณ ๋„ ๋ณด์ • ํšจ๊ณผ๋ฅผ ํ™•์ธํ•˜ ๊ณ 

E-D ๋…ธ์ฆ์˜ Throttling์— ํ•œ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜

๋‹ค.

์—ฐ์†Œ์‹ค ์••๋ ฅ์„ ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€ํ•œ ํ›„, ์™ธ๋ถ€ ๊ธฐ

ํ™˜๊ฒฝ์„ ๋ณ€๊ฒฝํ•˜์—ฌ ์ด 3 ๊ฐ€์ง€(ํ•ด์ˆ˜๋ฉด, ๊ณ ๋„ 10 km,

๊ณ ๋„ 16 km)์˜ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ๊ทธ

๊ฒฐ๊ณผ ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜๋ก ์œ ํšจ ๋…ธ์ฆ ์ถœ๊ตฌ ๋ฉด

์—ญ์‹œ ์ฆ๊ฐ€ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๋”ฐ

๋ผ์„œ ์ถ”๋ ฅ์ด ๊ณ ๋„๊ฐ€ ์ฆ๊ฐ€ํ•จ์— ๋”ฐ๋ผ ์ฆ๊ฐ€ํ•˜ ์œผ

๋ฉฐ ์ถ”๋ ฅ์ด ์ฆ๊ฐ€ํ•˜์—ฌ ์ถ”๋ ฅ๊ณ„์ˆ˜ ์—ญ์‹œ ๊ณ ๋„๊ฐ€ ์ฆ๊ฐ€

ํ•จ์— ๋”ฐ๋ผ ์ฆ๊ฐ€ํ•˜ ๋‹ค. ๋”ฐ๋ผ์„œ ๊ณ ๋„๊ฐ€ ์ƒ์Šนํ• ์ˆ˜

๋ก ๋…ธ์ฆ์˜ ํšจ์œจ์ด ์ข‹์•„์ง€๋Š” ๊ฒƒ์„ ํ™•์ธํ• 

์ˆ˜ ์žˆ๋‹ค. ํ•˜์ง€๋งŒ ์™ธ๋ถ€ ๊ธฐ ์••๋ ฅ๊ณผ ํ•€ํ‹€ ๋ฒฝ๋ฉด ์••

๋ ฅ์— ์˜ํ•˜์—ฌ ๊ณต๋ ฅํ•˜ ์—ญ์‹œ ํ•จ๊ป˜ ์ฆ๊ฐ€ํ•˜ ๋‹ค.

ํ•œ E-D ๋…ธ์ฆ์˜ ๋…ธ์ฆ ๋ชฉ ๋ฉด ์„ ๋ณ€ํ™”์‹œ์ผœ

Throttling์— ํ•œ ํ•ด์„ ์—ฐ๊ตฌ๋ฅผ ์ˆ˜ํ–‰ํ•˜ ๋‹ค. ์ผ

๋ฐ˜ ์ธ ํ•€ํ‹€ ์ถ”๋ ฅ๊ธฐ์™€ ๋™์ผํ•˜๊ฒŒ ๋…ธ์ฆ ๋ชฉ ๋ฉด ์ด

์–ด๋“ค์ˆ˜๋ก ์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ์ƒ์Šนํ•˜๋ฉฐ ์ถ”๋ ฅ ์—ญ์‹œ

์ฆ๊ฐ€ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜ ๋‹ค. ์ถ”๋ ฅ ๊ณ„์ˆ˜ ์—ญ์‹œ ๋…ธ์ฆ

๋ชฉ ๋ฉด ์ด ์–ด๋“ค์ˆ˜๋ก ์ฆ๊ฐ€ํ•จ์„ ํ™•์ธํ•˜ ์ง€๋งŒ

์—ฐ์†Œ์‹ค ์••๋ ฅ์ด ๋†’์•„์ง์— ๋”ฐ๋ผ ํ•€ํ‹€์— ์ž‘์šฉํ•˜๋Š”

์••๋ ฅํ•˜ ์ด ์ฆ๊ฐ€ํ•˜์—ฌ ํ•€ํ‹€์˜ ๊ณต๋ ฅํ•˜ ์ด ํฐ ํญ

์œผ๋กœ ์ƒ์Šนํ•˜ ๋‹ค.

E-D ๋…ธ์ฆ์€ ์ฃผ ์˜ ๋ฐฐ์••์— ๋”ฐ๋ผ ์ถ”๋ ฅ๊ณ„์ˆ˜๋ฅผ

๋ณด์ •ํ•˜์—ฌ ํšจ์œจ์„ ์ฆ ์‹œํ‚ค๊ณ , ํ•€ํ‹€ ยท ํ›„์ง„์—

๋”ฐ๋ฅธ ๋…ธ์ฆ ๋ชฉ ๋ฉด ๋ณ€ํ™”๋กœ Throttling์ด ๊ฐ€๋Šฅํ•จ์„

ํ™•์ธํ•˜ ๋‹ค. ๋”ฐ๋ผ์„œ ๊ณ ๊ณ ๋„ ํ™˜๊ฒฝ์—์„œ E-D ๋…ธ์ฆ

์„ ์‚ฌ์šฉํ•œ๋‹ค๋ฉด ๊ณ ๋„ ๋ณด์ •์˜ ํšจ๊ณผ์™€ ์ถ”๋ ฅ ์กฐ ์ด

๋ชจ๋‘ ๊ฐ€๋Šฅํ•˜๋ฏ€๋กœ ์ถ”๋ ฅ๊ธฐ์˜ ์„ฑ๋Šฅ์„ ์ฆ ์‹œํ‚ฌ ์ˆ˜

์žˆ๋‹ค. ํ•˜์ง€๋งŒ ํ•€ํ‹€ ์ด๋ผ๋Š” ๊ตฌ์กฐ๋ฌผ์ด ๋…ธ์ฆ ๋ชฉ ๋ถ€

๊ทผ์— ์กด์žฌํ•˜์—ฌ ํฐ ๊ณต๋ ฅํ•˜ ์„ ์•ผ๊ธฐํ•˜๋ฏ€๋กœ ์ถ”๋ ฅ

์—ฐ์†Œ์‹ค ์••๋ ฅ ์กฐ ๊ณผ ๋”๋ถˆ์–ด ๊ณต๋ ฅํ•˜ ์„ ๊ฐ์†Œ

์‹œํ‚ค๋Š” ๋ฐฉ์•ˆ ์—ฐ๊ตฌ๊ฐ€ ํ•„์š”ํ•  ๊ฒƒ์œผ๋กœ ๋‹จ๋œ๋‹ค.

ํ›„ ๊ธฐ

๋ณธ ์—ฐ๊ตฌ๋Š” ์ •๋ถ€(๋ฏธ๋ž˜์ฐฝ์กฐ๊ณผํ•™๋ถ€)์˜ ์žฌ์›์œผ๋กœ

ํ•œ๊ตญ์—ฐ๊ตฌ์žฌ๋‹จ์˜ ์šฐ์ฃผํ•ต์‹ฌ๊ธฐ์ˆ ๊ฐœ๋ฐœ์‚ฌ์—… ์ง€์›์„

๋ฐ›์•„ ์ˆ˜ํ–‰๋œ ๊ฒƒ์ž„(NRF-2014M1A3A3A02034776).

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