• 대한기계학회논문집B
• /
• 제28권5호
• /
• pp.580-586
• /
• 2004

The ray effects of finite volume method (FVM) or discrete ordinate method (DOM) are known to show a non-physical oscillation in solution of radiative heat transfer on a boundary. This wiggling behavior is caused by the finite discretization of the continuous control angle. This article proposes a combined procedure of the Monte-Carlo and finite-volume method (CMCFVM) for solving radiative heat transfer in absorbing, emitting, and an-isotropically scattering medium with an isolated boundary heat source. To tackle the problem, which is especially pronounced in a medium with an isolated heat source, the CMCFVM is suggested here and successfully applied to a two-dimensional circular geometry.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2000년도 추계학술대회논문집B
• /
• pp.347-352
• /
• 2000

In the present study, DOM and FVM have been used to analyze the radiative heat transfer in an axisymmetric cylindrical enclosure with obstacles. Heat flux distributions on the wall of enclosure form DOM and FVM are compared to those from simplified zone analysis for a nonparticipating medium. The comparison of DOM and FVM is also presented. Results show that there is a good agreement between FVM and simplified zone analysis. In addition, the effect of the thickness of the obstacle on the results is considered. Heat flux distribution on the surface of the obstacle is also presented.

• 대한기계학회논문집B
• /
• 제27권1호
• /
• pp.135-140
• /
• 2003

The convergence of finite volume method (FVM) or discrete ordinate method (DOM) is known to degrade for optical thickness greater than unity and large scattering albedo. The present article presents a convergence acceleration procedure for the FVM based on a full approximation storage (FAS) multigrid method. Among a variety of multigrid cycles, the V-cycle is used and the full multigrid algorithm (FMG) is applied to an analysis of radiation in irregular two-dimensional geometry. Solution convergence is discussed for the several cases of various optical thickness and scattering albedo. At small scattering albedo and optical thickness, there is no advantage to using the multigrid method for calculation CPU time. For large scattering albedo greater than 0.5 and optical thickness greater than unity, however, the multigrid method improves the convergence and the solution is rapidly obtained.

• 설비공학논문집
• /
• 제10권1호
• /
• pp.95-107
• /
• 1998

Natural convection and radiation heat transfer in a square enclosure containing absorbing, emitting, and isotopically scattering(participating) media is studied numerically using the finite volume method. Various numerical methods are employed to analyze the radiative heat transfer. However, it is very difficult to choose the proper method. In present study, a finite volume method(FVM) and a discrete ordinates method(DOM) are compared in rectangular enclosure. The SIMPLER algorithm is used to solve the momentum and energy equations. Thermal and flow characteristics are investigated according to the variation of radiation parameters such as optical thickness and scattering albedo. The result shows that the accuracy and the computing time of FVM are better than those of DOM in regular geometry.

• 대한기계학회논문집B
• /
• 제20권1호
• /
• pp.346-358
• /
• 1996

A finite volume radiation solution method was applied to a non- orthogonal coordinate system for the analysis of radiative-convective heat transfer about a circular cylinder in crossflow. The crossflow Reynolds number based on the cylinder radius was 20, and the fluid Prandtl number was 0.7. The radiative heat transfer coupled with convection was reasonably predicted by the finite volume radiation solution method. The investigation includes the effects of conduction- to-radiation parameter, optical thickness, scattering albedo and cylinder wall-emissivity on heat transfer about the cylinder. As the conduction- to-radiation parameter decreases, the radiative heat transfer rate increases and conduction rate as well due to the increase in temperature gradient on the cylinder wall which is caused by radiation enhancement. With an increase in the optical thickness, the Nusselt number increases significantly and the temperature gradient shows similar behavior. Though the radiative heat transfer increases with the scattering albedo, the total heat transfer decreases. This is because the decrease in the conduction heat transfer exceeds the increase in the radiation heat transfer. As the wall- emissivity increases, the radiation absorbed in the vicinity of the cylinder wall increases and thereby the total heat transfer increases, even though the conduction heat transfer decreases.

• 대한기계학회논문집B
• /
• 제35권6호
• /
• pp.561-567
• /
• 2011

2 차원 비직교 형상에 대해 비정렬 삼각 격자를 이용하여 복사 열전달의 역해석을 수행하였다. 본 논문에서는 확산적으로 방사 및 반사를 하는 벽면으로 이루어진 형상 내부에 흡수 및 방사, 산란하는 매질이 채워져 있는 문제를 고려하였다. 유한체적법을 사용하여 복사전달 방정식을 계산하였고 이 때 얻은 입사복사량을 역해석의 측정 데이터로 사용하였다. 벽면의 방사율을 추정하기 위해 켤레구배법을 적용하였으며, 목적 함수를 최소화하는 과정을 통해 해를 구하였다. 측정값의 측정 오차가 추정 정확도에 미치는 영향을 살펴보았고, 비정렬 격자계의 성능을 확인하기 위해 정렬 격자계를 이용하여 얻은 결과와 비교해 보았다.

• 대한기계학회논문집
• /
• 제19권3호
• /
• pp.806-819
• /
• 1995

A study of radiative heat heat transfer has been done in the non-orthogonal coordinate system utilizing the finite volume method and the P.1 approximation. Radiation of absorbing, emitting and scattering media in a concentric annulus has been solved using the non-orthogonal coordinate and the calculations were compared with the existing results. The results obtained from the analysis using the finite volume method are in good agreement with the existing calculations for all optical thicknesses. It was also shown that for only optically thick cases, P-1 approximation can be used in a non-orthogonal coordinate. Convective heat transfer analysis has been carried out to obtain the temperature fields in a cross flow around a circular cylinder and the finite volume method was applied in the non-orthogonal coordinate system to analyze radiative heat transfer. Effects of the optical thickness, the ratio of the surface temperature of the cylinder tot he free stream temperature, and the scattering albedo on radiation have been presented.

• 대한기계학회논문집B
• /
• 제20권8호
• /
• pp.2681-2692
• /
• 1996

The finite-volume method for radiation in a three-dimensional non-orthogonal gas turbine combustion chamber with absorbing, emitting and anisotropically scattering medium is presented. The governing radiative transfer equation and its discretization equation using the step scheme are examined, while geometric relations which transform the Cartesian coordinate to a general body-fitted coordinate are provided to close the finite-volume formulation. The scattering phase function is modeled by a Legendre polynomial series. After a benchmark solution for three-dimensional rectangular combustor is obtained to validate the present formulation, a problem in three-dimensional non-orthogonal gas turbine combustor is investigated by changing such parameters as scattering albedo, scattering phase function and optical thickness. Heat flux in case of isotropic scattering is the same as that of non-scattering with specified heat generation in the medium. Forward scattering is found to produce higher radiative heat flux at hot and cold wall than backward scattering and optical thickness is also shown to play an important role in the problem. Results show that finite-volume method for radiation works well in orthogonal and non-orthogonal systems.

• 한국추진공학회지
• /
• 제6권1호
• /
• pp.21-29
• /
• 2002

하이브리드 연소 시스템은 안정된 작동조건이나 안전성 면에서 많은 장점을 가지고 있는 반면 기존의 하이브리드 모터는 고체 추진 로켓모터보다 낮은 연료 regression율과 연소효율은 갖는 단점이 있다. 따라서 최근의 연구들은 하이브리드 로켓모터의 연소실 체적의 제한과 연료의 regression율을 향상시키는데 그 초점을 맞추고 있다. 본 연구는 하이브리드 로켓 엔진의 연소과정을 수치적으로 해석하였다. 난류연소는 eddy breakup 모델을 이용하였으며 soot의 생성 및 산화를 다루기 위하여 Hiroyasu와 Nagle and Strickland-Constable 모델을 적용하였다. 복사열전달은 유한체적법을 이용하여 계산하였으며 고체 연료 벽면에서의 분출 효과로 야기되는 대류열전달의 불확실성을 줄이기 위하여 낮은 레이놀즈 수 $\kappa-\varepsilon$ 난류모델을 적용하였다. 계산된 수치결과를 토대로 선회 유동을 가지는 하이브리드 로켓 엔진의 난류연소과정에 대하여 상세히 기술하였다.

• 대한기계학회논문집B
• /
• 제22권2호
• /
• pp.213-220
• /
• 1998

The conventional discrete-ordinates method (DOM) is modified and developed for the analysis of two-dimensional axisymmetric cylindrical enclosure with curved wall. The objective of the present work is to extend the capability of the conventional DOM into a general axisymmetric geometry like nozzle-shaped enclosure, by adopting the arbitrary control angle as was done in the finite-volume method (FVM), while keeping the same two-dimensional solution procedure as in the conventional DOM. The present method is validated by applying it to three different benchmark problems of axisymmetric enclosure containing absorbing, emitting and scattering medium. Results presented in this work not only support the solution accuracy, but also moderate efficiency in the numerical calculation of axisymmetric radiation problem.