Contour integration for the view factor calculation between two rectangular surfaces

Camaraza‐Medina, Yanan; Hernandez‐Guerrero, Abel; Luviano‐Ortiz, J. Luis

doi:10.1002/htj.22950

Cited by 3 publications

(2 citation statements)

References 29 publications

(64 reference statements)

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“…Equation ( 7) is extremely complex to be handled in practical engineering calculations. A simplification widely spread in the literature, for the evaluation of furnaces or combustion chambers, is to assume that these are enclosures with a single surface, in this way the wall temperature and emittance are uniform, thus obtaining the characteristic length of the radiative beam, with a deviation less than ±40%, applying the following relationship 28 :…”

Section: Characteristic Length or Average Length Of The Beammentioning

confidence: 99%

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Camaraza‐Medina,

Hernandez‐Guerrero,

Luviano‐Ortiz

2024

Heat Trans

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In this work, an approximate analytical solution (AS) is presented to evaluate the radiative thermal exchange through a gaseous participating medium composed of H2O, CO2, and CO, which is valid for the product values of pressure path‐length (PL) from 0.06 to 20 atm m and temperatures (T) from 300 K to 2100 K. The Spence root weighting method is used to approximate the exact solutions. For each set of , the value of exact spectral emissivity and absorptivity and for the gas mixture is calculated using the AS, the Hottel graphical method (HGM) and the proposed approximate solution. The weaker adjustment was achieved in the modeling of the HGM, with a mean deviation obtained of ±15% and ±20% for 43.8% and 56.3% of the data evaluated, respectively, while the best indices were obtained in the estimation of the proposed method, with a mean deviation obtained of ±10% and ±15% for 81.3% and 98.1% of the available data, respectively. In all cases, the agreement of the proposed model with the available experimental data is good enough to be considered satisfactory for practical design.

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Section: Characteristic Length or Average Length Of The Beammentioning

confidence: 99%

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Camaraza‐Medina,

Hernandez‐Guerrero,

Luviano‐Ortiz

2024

Heat Trans

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“…26 In the technical literature for the calculation of the L, only exact solutions are available for some simple geometry, generally with rectangular or polygonal contours. [27][28][29]…”

Section: Mean Beam Lengthmentioning

confidence: 99%

Gas emissivities and absorptivities for H₂O–CO₂–CO mixtures

Camaraza‐Medina

2024

Heat Trans

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In this work, an approximate solution is given to compute the gas emissivities and absorptivities for H2O–CO2–CO mixtures. The proposed model is valid for temperatures from 300 to 2700 K and pressure path‐length from 0.06 to 40 atm m. In the calculation of the analytical solution (AS), the nonlinear methods of Galerkin and Ritz were implemented based on the residual solution of the differential roots of the Finite Element Method. For each point value using the AS, the spectral absorptivity and emissivity were determined, while for the gas mixture the emissivity and absorptivity were computed using the Hottel Graphical Method (HGM) and the proposed method. In the emissivity calculations, the HGM shows less adjustment, with values of ±20% and ±15% for 79.1% and 56.2% of the available analytical data, while the proposed model correlates adequately with the available data, showing an average deviation of ±15% and ±10% for 91.4% and 76.2% of the available data. In the absorptivity estimations, the HGM shows a weaker fit, with values of ±20% and ±15% for 77.3% and 51.4% of the experimental data, respectively, while the proposed model shows good agreement with the available data, with a mean deviation of ±15% and ±10% for 89.8% and 74.1% of the test made.

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Intercambio térmico radiante en mezclas de H<sub>2</sub>O y CO<sub>2</sub>

Camaraza-Medina

2024

ings

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In this work, an approximate solution is presented to evaluate the heat exchange by radiation through a gaseous participating medium composed of and , which is valid for values of the product of the total pressure and the mean beam length (PL) from 0.06 to and temperatures (T) from 300 K to 2100 K. To approximate the exact solutions, the Spence root weighting method is used. For each set of PL; T values, the values of exact spectral emissivity and absorptivity and for the gas mixture are calculated using the analytical solution (AS) and the values of the emissivity and absorptivity of the mixture and , using the Hottel graphical method (HGM) and the proposed approximate solution. The weaker correlation fit corresponds to the HGM, with mean errors of ±15 % and ±20% for 54.2% and 75.3 % of the data evaluated, respectively, while the proposed method provides the best fit, with mean errors of ±10% and ±15% for 79.4% and 98.6 % of the data evaluated, respectively. In all cases, the agreement of the proposed model with the available experimental data is good enough to be considered satisfactory for practical design.

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Contour integration for the view factor calculation between two rectangular surfaces

Cited by 3 publications

References 29 publications

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Gas emissivities and absorptivities for H₂O–CO₂–CO mixtures

Intercambio térmico radiante en mezclas de H<sub>2</sub>O y CO<sub>2</sub>

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Contour integration for the view factor calculation between two rectangular surfaces

Cited by 3 publications

References 29 publications

Radiant energy exchange through participating media composed of arbitrary concentrations of H2O, CO2, and CO

Radiant energy exchange through participating media composed of arbitrary concentrations of H2O, CO2, and CO

Gas emissivities and absorptivities for H2O–CO2–CO mixtures

Intercambio térmico radiante en mezclas de H<sub>2</sub>O y CO<sub>2</sub>

Contact Info

Product

Resources

About

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Radiant energy exchange through participating media composed of arbitrary concentrations of H₂O, CO₂, and CO

Gas emissivities and absorptivities for H₂O–CO₂–CO mixtures