Steady Conduction in Three-Dimensional Shells

Warrington, Robert O.; Powe, R. E.; Mussulman, R. L.

doi:10.1115/1.3245104

Cited by 7 publications

(9 citation statements)

References 0 publications

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“…Figure 5 compares the predictions of the integral and two-rule models with numerical data from Warrington et al 2 The ratio of the diameter of the spherical enclosure and the cube side length, d o /s i , is also plotted vs V 1/3 / √ A i on the second y axis. There is good agreement between both models and the data; however, the integral model provides a better fit of the data than the two-rule model, within 3% rms difference over the full range of the dimensionless gap spacing.…”

Section: Cube In Spherical Enclosurementioning

confidence: 99%

“…(35) Figure 6 compares the S √ A i data of Warrington et al 2 with both the two-rule and integral models, as well as the ratio…”

Section: Sphere In Cubical Enclosurementioning

confidence: 99%

“…4, the model predictions for each of these enclosure configurations are compared with numerical data from Hassani 1 for the cylinders and base-attached double cones and from Warrington et al 2 for the concentric cubes, as well as for the exact solution for the concentric spheres. Figure 4 demonstrates the excellent agreement between the two-rule model and the data, with an rms difference of 2.8% for the concentric cubes and a difference of less than 1% rms for both the cylinders and double cones.…”

Section: Geometrically Similar Boundary Shapesmentioning

confidence: 99%

“…Hassani 1 presents data for the concentric circular cylinders and the concentric baseattached cones for a wide range of gap spacing. Warrington et al 2 present numerical data for enclosures formed between different concentric boundary shapes for two cases: the cube in a spherical enclosure and the sphere in a cubical enclosure.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Conduction Shape Factor Models for Three-Dimensional Enclosures

Teertstra

Yovanovich

Culham

2005

Journal of Thermophysics and Heat Transfer

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Analytical models are presented for conduction shape factors for three-dimensional regions formed between an isothermal, arbitrarily shaped body and its concentric, arbitrarily shaped surrounding enclosure. The model is based on the exact solution for the concentric spheres, and two methods are developed to predict the effective gap spacing. The models are validated using existing numerical data from the literature and data from simulations performed using a commercial computational fluid dynamics software package. The models are shown to be in excellent agreement with the data for all enclosures with geometrically similar boundary shape, within 3% rms. For enclosures formed between different boundary shapes, the models are shown to be accurate within 5% rms when the minimum aspect ratio, that is, the smallest outer boundary dimension over the largest inner dimension, is greater than 1.5.

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Section: Cube In Spherical Enclosurementioning

confidence: 99%

“…(35) Figure 6 compares the S √ A i data of Warrington et al 2 with both the two-rule and integral models, as well as the ratio…”

Section: Sphere In Cubical Enclosurementioning

confidence: 99%

Section: Geometrically Similar Boundary Shapesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conduction Shape Factor Models for Three-Dimensional Enclosures

Teertstra

Yovanovich

Culham

2005

Journal of Thermophysics and Heat Transfer

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show abstract

“…Hassani 1 presents data for the concentric circular cylinders and the concentric base-attached cones for a wide range of gap spacing. Warrington et al 2 presents numerical data for enclosures formed between different concentric boundary shapes for two cases: the cube in a spherical enclosure and the sphere in a cubical enclosure.…”

Section: Aiaa-2003-0159mentioning

confidence: 99%

Conduction Shape Factor Models for 3-D Enclosures

Teertstra

Yovanovich

Culham

2003

41st Aerospace Sciences Meeting and Exhibit

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Analytical models are presented for conduction shape factors for three-dimensional regions formed between an isothermal, arbitrarily-shaped body and its concentric, arbitrarily-shaped surrounding enclosure. The model is based on the exact solution for the concentric spheres and two methods are developed to predict the effective gap spacing. The models are validated using existing numerical data from the literature and data from simulations performed using a commercial CFD software package. The models are shown to be in excellent agreement with the data for all enclosures with geometrically similar boundary shape, within 3% RMS. For enclosures formed between different boundary shapes, the models are shown to be accurate within 5% RMS when the minimum aspect ratio, i.e. the smallest outer boundary dimension over the largest inner dimension, is greater than 1.5.

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