• Title/Summary/Keyword: Bartz Equation

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Comparative Studies of Heat Transfer Coefficients for Rocket Nozzle (로켓 노즐의 열전달계수 비교 연구)

  • Hahm, Hee-Cheol;Kang, Yoon-Goo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.2
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    • pp.42-50
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    • 2012
  • The goal of heat transfer studies is the accurate prediction of temperature and heat flux distribution on material boundaries. To this purpose, general-purpose computational fluid dynamics(CFD) code is used : FLUENT. Mass fluxes and pressure ratio are calculated for two types of nozzle. The comparative studies reveal that the computational results are in agreement with the experimental data. Also, heat transfer coefficients from FLUENT for one type of nozzle are very similar and agree well with the experimental data in the diverging part of the nozzle, but the calculated results are large in the converging part. The heat transfer coefficients from Bartz equation are over-predicted. We can consider various reasons for these differences, i.e., laminarization by the highly accelerated flow in the nozzle, turbulent flow model and grid generation.

Numerical Analysis and 2-D Experiment of Heat Transfer Coefficient on the Pintle of a Controllable Thruster Nozzle (고온 고압 환경에서 가변추력기용 핀틀의 열전달 계수에 대한 수치적 연구 및 2D 실험)

  • Park, Soon Sang;Moon, Young gi;Kawk, Jae Su
    • Journal of Aerospace System Engineering
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    • v.6 no.4
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    • pp.24-28
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    • 2012
  • In this paper, 2-D experiment and steady-state computational fluid analysis were conducted for measuring the hear transfer coefficient of pintle type controllable thruster in high pressure and temperature. In case of 2-D experiment, transient liquid crystal technique was used for measuring heat transfer coefficient for the 2-D pintle model. The experimental result was used to validate the CFD result. The CFD results well predicted the heat transfer coefficient on the pintle surface except the nozzle downstream region, where the results by CFD was higher than experimental results. The CFD results were also compared with the result by Bartz equation and the it was shown that the Bartz equation overestimated the heat transfer coefficient on the nozzle throat as much as 80%.

Comparative Evaluation on the Deriving Method of the Heat Transfer Coefficient of the C-D Nozzle (축소 확대 노즐의 열전달 해석을 위한 열전달 계수 계산 및 검증)

  • Noh, Tae Won;Roh, Tae-Seong;Lee, Hyoung Jin;Lee, Hyunseob;Yoo, Phil Hoon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.26 no.2
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    • pp.1-11
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    • 2022
  • The heat transfer coefficient on the wall, which is used as a boundary condition in the thermal analysis of general contract-divergent supersonic nozzles, affects the thermal analysis accuracy of the entire nozzle. Accordingly, many methods of deriving a heat transfer coefficient have been proposed. In this study, the accuracy of each method was compared. For this purpose, the heat transfer coefficients were calculated through theoretical-based analogy methods, semi-empirical equations, and CFD simulations for the previously performed heat transfer experiment with an isothermal wall and compared with the experimental results. The results show that the Prandtl-Taylor analogy methods and the CFD results with the k-ω SST turbulence model were in good agreement with the experimental results. Furthermore, the Modified Bartz empirical formula showed an overall over-prediction tendency.

A Turbulent Bounbary Layer Effect of the De-Laval Nozzle on the Combustion Chamber Pressure (De-Laval 노즐의 난류 경계층 유동이 연소실 압력에 미치는 영향)

  • 장태호;이방업;배주찬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.635-644
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    • 1986
  • A Compuressible turbulent boundary layer effect of the high temperature, accelerating gas flow through the De-Laval nozzle on combustion chamber pressure is numerically investigated. For this purpose, the coupled momentum integral equation and energy integral equation are solved by the Bartz method, and 1/7 power law for both the turbulent boundary layer velocity distribution and temperature distribution is assumed. As far as the boundary layer thicknesses are concerned, we can obtain reasonable solutions even if relatively simple approximations to the skin friction coefficient and stanton number have been used. The effects of nozzle wall cooling and/or mass flow rate on the boundary layer thicknesses and the combustion chamber pressure are studied. Specifically, negative displacement thickness is appeared as the ratio of the nozzle wall temperature to the stagnation temperature of the free stream decreases, and, consequently, it makes the combustion chamber pressure low.

Axisymmetric Thermal Analysis of 3D Regenerative Cooling System (3차원 재생 냉각 시스템의 축대칭 열해석)

  • Kim Sung-In;Park Seung-O
    • Journal of the Korean Society of Propulsion Engineers
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    • v.10 no.2
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    • pp.53-61
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    • 2006
  • Axisymmetric numerical thermal analysis for a 3-dimensional regenerative cooling system in a rocket engine is carried out. To predict the accurate heat transfer with the stiff temperature distribution, several tests have been conducted for the grid size, the properties variation of the coolant and the combustion gas depending on temperature. The axisymmetric heat flux model is defined using fin efficiencies and is designed to be equivalent to the heat flux of the 3-dimensional coolant channel. For comparison purpose, the 1-dimensional analysis using Bartz equation is also conducted. The performance of the present model in predicting the cooling characteristics of a 3-dimensional regenerative cooling system is compared with the 3-dimensional results of RTE(Rocket Thermal Evaluation). It is found that the present method predicts much closer results to those of RTE code than 1-dimensional analysis.