Assessment of discrete ordinates method for radiative transfer in cylindrical furnaces

Date

1997-07-01

Author

Selçuk, Nevin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

144
views

0
downloads

The solution accuracy of S-n or Discrete Ordinates Method (DOM) was assessed by comparing its predictions with exact solutions reported earlier on a cylindrical enclosure problem with steep temperature gradients. The enclosure has interior black walls and an absorbing-emitting medium of constant properties. Predictive accuracy was investigated for two angular quadrature schemes: 1) the S-n discrete ordinates approximation (S-2 and S-4) and 2) the modified piecewise constant angular (PCA) approximation. Comparative testing shows that all predictions agree well with the exact solutions and that S-n approximations produce slightly better accuracy than the modified PCA approximation in radiative heat nux densities. The sensitivity of the predictions of the DOM to radiative properties was also examined by performing calculations for various absorption coefficients. Comparative testing shows that the discrepancies between the predictions increase with the coefficient and hence the accuracy of a radiation model should be tested in isolation from radiative property estimation.

Subject Keywords

HEAT-TRANSFER, RECTANGULAR ENCLOSURES, TRANSPORT-EQUATION, SCATTERING, MEDIA, SYSTEMS

URI

https://hdl.handle.net/11511/53182

Conference Name

2nd International Symposium on Radiation Transfer

Collections

Graduate School of Natural and Applied Sciences, Conference / Seminar

Suggestions

OpenMETU
Core

Evaluation of discrete ordinates method for radiative transfer in rectangular furnaces Selçuk, Nevin (1997-01-01) The discrete ordinates method (DOM) and discrete transfer method (DTM) were evaluated from the viewpoints of both predictive accuracy and computational economy by comparing their predictions with exact solutions available from a box-shaped enclosure problem with steep temperature gradients. Comparative testing shows that the S-4 approximation produces better accuracy in radiative energy source term than in flux density in three orders of magnitude less CPU time than that required by the DTM. The S-4 approxi...
Measurement of the t-channel single-top-quark production cross section and of the |V (tb)| CKM matrix element in pp collisions at root s=8 TeV Khachatryan, V.; et. al. (Springer Science and Business Media LLC, 2014-06-01) Measurements are presented of the t-channel single-top-quark production cross section in proton-proton collisions at root s = 8 TeV. The results are based on a data sample corresponding to an integrated luminosity of 19.7 fb(-1) recorded with the CMS detector at the LHC. The cross section is measured inclusively, as well as separately for top (t) and antitop (t) over bar, in final states with a muon or an electron. The measured inclusive t-channel cross section is sigma(t-ch.) = 83.6 +/- 2.3 (stat.) +/- 7.4...
Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow Selçuk, Nevin; Tanrikulu, S (2002-03-10) Performances of method of lines (MOL) and finite difference method (FDM) were tested from the viewpoints of solution accuracy and central processing unit (CPU) time by applying them to the solution of time-dependent 2-D Navier-Stokes equations for transient laminar flow without/with sudden expansion and comparing their results with steady-state numerical predictions and measurements previously reported in the literature. Predictions of both methods were obtained on the same computer by using the same order ...
Performance of DOM and IDA with different angular discretization methods in 3-D absorbing-emitting-scattering media Ozen, Guzide; Selçuk, Nevin (2013-03-01) Predicted accuracy and computationally efficiency of Discrete Ordinates Method (DOM) and Improved Differential Approximation (IDA) were evaluated by applying both methods to cubical enclosure problems containing purely isotropically/linearly anisotropically scattering/absorbing-emitting-isotropically scattering medium and comparing their predictions with benchmark solutions available in the literature. Performances of DOM and IDA with S-8, S-10 and T-4 quadratures were assessed by comparing their prediction...
Measurement of the Upsilon(1S), Upsilon(2S), and Upsilon(3S) Polarizations in pp Collisions at root s 7 TeV Chatrchyan, S.; et. al. (American Physical Society (APS), 2013-02-01) The polarizations of the Upsilon(1S), Upsilon(2S), and Upsilon(3S) mesons are measured in proton-proton collisions at root s = 7 TeV, using a data sample of Upsilon(nS) -> mu(+)mu(-) decays collected by the CMS experiment, corresponding to an integrated luminosity of 4.9 fb(-1). The dimuon decay angular distributions are analyzed in three different polarization frames. The polarization parameters lambda(theta), lambda(phi), and lambda(theta phi), as well as the frame-invariant quantity (lambda) over tilde, ...

Citation Formats

N. Selçuk, “Assessment of discrete ordinates method for radiative transfer in cylindrical furnaces,” presented at the 2nd International Symposium on Radiation Transfer, KUSADASI, TURKEY, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53182.