Computer Implementation, Accuracy, and Timing of Radiation View Factor Algorithms

Shapiro, A.B.

doi:10.1115/1.3247490

Cited by 35 publications

(16 citation statements)

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“…The line integral method was found to be advantageous in terms of accuracy and computing time (Sparrow and Cess 1978). In fact, Shapiro (1985) compared the area integral method with the CDIF using Stokes' theorem and concluded that the CDIF was significantly more accurate. The area integral method also requires longer computational times.…”

Section: Methodsmentioning

confidence: 97%

Calculation of view factors for complex geometries using Stokes’ theorem

Francisco

Raimundo

Gaspar

et al. 2013

Journal of Building Performance Simulation

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This paper presents an algorithm that calculates the radiative view factors based on Stokes' theorem. The authors propose a formulation where the original surfaces are divided into a grid of elementary areas and Stokes' theorem is applied for the determination of the view factors between these elementary areas. With this approach, the account of the shading effect of obstructions is significantly improved. The capabilities of the proposed formulation were tested with the calculation of radiative view factors between flat and curved surfaces. The results obtained showed a good agreement with the corresponding analytical solutions, with relative errors (REs) lower than 2%. The proposed methodology was also compared with the application of the double integral area formulation and a better agreement was found, between RE and the CPU, using the present formulation. IntroductionIn engineering applications, it is important to accurately determine the net radiative heat transfer between surfaces. There are several applications that ask for this detailed calculations, such as industrial equipment studies (Boulet et al. A parameter commonly used to quantify the heat exchange by radiation is the view factor concept, also known as configuration factors or shape factors, and defined as the radiative fraction that leaves a surface i and directly reaches surface j. The scientific literature presents graphs and tables with values and expressions to calculate the view factors of many geometric configurations, obtained from analytical solutions or numerical methods (Sparrow and Cess 1978;Çengel 2003). However, despite being extremely useful, this information is inappropriate to generic geometries and computational procedures, to incorporate into computer fluid dynamic (CFD) programs, or, for

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Section: Methodsmentioning

confidence: 97%

Calculation of view factors for complex geometries using Stokes’ theorem

Francisco

Raimundo

Gaspar

et al. 2013

Journal of Building Performance Simulation

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“…For three-dimensional geometries, the computation of view factors remains problematic despite the great number of developed methods [14,15]. A. F. Emery et al [16] compare the methods for complex geometries.…”

Section: View Factors Calculationmentioning

confidence: 98%

Finite-Element Modeling of Coupled Radiative and Diffusive Heat Transfer in Nonparticipating Media Including Symmetry and Periodicity Conditions

Bergheau¹

2001

Numerical Heat Transfer, Part B: Fundamentals

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“…There are multiple combinations of x and y which satisfy Eq. (9). In this study, in the case of square surface elements, we assume the region to be handled by each emission point (arrival point) as shown in Fig.…”

Section: Definition Of the Initial Energy Of Radiation Heat Fluxmentioning

confidence: 99%

“…As a method of numerical integration, we use the Mitalas-Stephenson [8] or MS method. The MS method has been verified to calculate view factors with higher accuracy than other numerical integration methods [9]. The actual procedure to perform calculations using the MS method is described in a note at the end of this report.…”

Section: Definition Of the Initial Energy Of Radiation Heat Fluxmentioning

confidence: 99%

Radiation heat transfer in three‐dimensional closed space including diffuse and specular surfaces

Miyanaga

Nakano

2003

Heat Trans. Asian Res.

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A method of numerical calculation for radiation heat transfer in a three-dimensional closed space including diffuse and specular surfaces was developed. To enable an analysis of the radiation heat exchange on each surface considering multiple specular reflections and obstacles to radiation in the space, an improved heat ray-tracing method was presented to calculate view factors accurately. The method was determined to be applicable to complicated problems in test calculations using models with specular surfaces and obstacles. Continuing efforts are being applied to more realistic problems. The example examined in this paper is an infrared emitter with a parabolic specular reflector, which is a conventional electric heating apparatus. The measured result for radiant power distribution agrees well with the calculated one. The practical validity of our method was verified.

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Computer Implementation, Accuracy, and Timing of Radiation View Factor Algorithms

Cited by 35 publications

References 0 publications

Calculation of view factors for complex geometries using Stokes’ theorem

Calculation of view factors for complex geometries using Stokes’ theorem

Finite-Element Modeling of Coupled Radiative and Diffusive Heat Transfer in Nonparticipating Media Including Symmetry and Periodicity Conditions

Radiation heat transfer in three‐dimensional closed space including diffuse and specular surfaces

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