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Jafari, A., Rahimian M.H. and Saeedmanesh. A., “An unsteady mixed convection in a driven cavity filled with nanofluids using an externally oscillating lid.” Journal of Electronics Cooling and Thermal Control 3.02, 58, 2013.

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Article

The Extension of the QL Method to Solve the Radiative Heat Transfer Problem in a 3D Square Enclosure Containing Non-grey Gas

1Department of Mechanical Engineering, Texas A&M University, College Station, TX 77840, USA


American Journal of Mechanical Engineering. 2016, Vol. 4 No. 2, 71-81
DOI: 10.12691/ajme-4-2-5
Copyright © 2016 Science and Education Publishing

Cite this paper:
Pedram Tazraei. The Extension of the QL Method to Solve the Radiative Heat Transfer Problem in a 3D Square Enclosure Containing Non-grey Gas. American Journal of Mechanical Engineering. 2016; 4(2):71-81. doi: 10.12691/ajme-4-2-5.

Correspondence to: Pedram  Tazraei, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77840, USA. Email: p.tazraei1@gmail.com

Abstract

As a part of a general code for modeling behavior of combustion products, radiative heat transfer in non-grey and absorbing-emitting media is numerically investigated. The code is provided based on a new approach. A new method for solving the radiative transfer equation, called the QL method, is extended to 3D problems in non-grey media. There is also a discussion about the number of integration points of this method. A combination of the QL method, FTn FVM, CLAM scheme and SLW model was used to solve the radiative transfer equation. The results of the five test cases in 1-, 2- and 3D geometries containing water vapor and/or carbon dioxide are reported in this article. In all cases, the gas was non-isothermal and/or non-homogeneous. The accuracy of the method was assessed by benchmarking the results against previously published results where other methods were used and also against the outcome of employing QL method with the classical FVM, STEP scheme and SLW model. Also the cost of the presented method is compared with the results of combining FVM with the SLW model. The predictions by this method were found to be accurate and computationally cheaper. Therefore the results can be used in general code with full reliability.

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