The aim of this study is to present a reduced spectral line-based weighted sum of gray gases (SLW) model to simulate the radiation heat transfer in nongray media at high temperatures. Inverse approach is used to divide the absorption cross section band into a clear gas with one gray gas and two gray gases, which are called the S-1 and S-2 approaches, respectively. The unknown absorption cross sections are determined from the knowledge of measured total incident intensities received by wall surfaces. In order to simulate the exact solution of radiation heat transfer in nongray gaseous media, the discrete transfer method (DTM) in combination with S-20 model is used, where the nongray medium is replaced with a set of a clear gas and 20 gray gases. The inverse problem is formulated as an optimization problem to minimize a least square objective function, which is solved by the conjugate gradient method (CGM). The accuracy of the present method is verified by comparing with previous researches and the S-20 approach with a large number of gray gases. The effects of noisy data on the inverse solution are investigated by considering an extreme case with large measurement error. The results show that the unknown absorption cross sections are retrieved well, even for noisy data.

Article navigation

Research-Article

# Inverse Estimation of Main Parameters of Spectral Line-Based Weighted Sum of Gray Gases Model With Few Gray Gases to Simulate the Radiation in Nongray Media

A. Dehghanian

,
A. Dehghanian

Mechanical Engineering Department,

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

Search for other works by this author on:

S. M. Hosseini Sarvari

S. M. Hosseini Sarvari

Mechanical Engineering Department,

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

e-mail: sarvari@uk.ac.ir

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

e-mail: sarvari@uk.ac.ir

Search for other works by this author on:

A. Dehghanian

Mechanical Engineering Department,

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

S. M. Hosseini Sarvari

Shahid Bahonar University of Kerman,

Kerman 76175-133, Iran

e-mail: sarvari@uk.ac.ir

1

Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 5, 2016; final manuscript received June 8, 2017; published online August 29, 2017. Assoc. Editor: Laurent Pilon.

*J. Heat Transfer*. Feb 2018, 140(2): 022701 (10 pages)

**Published Online:**August 29, 2017

Article history

Received:

October 5, 2016

Revised:

June 8, 2017

Citation

Dehghanian, A., and Hosseini Sarvari, S. M. (August 29, 2017). "Inverse Estimation of Main Parameters of Spectral Line-Based Weighted Sum of Gray Gases Model With Few Gray Gases to Simulate the Radiation in Nongray Media." ASME. *J. Heat Transfer*. February 2018; 140(2): 022701. https://doi.org/10.1115/1.4037496

Download citation file:

- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars

Close

#### Sign In

### Get Email Alerts

### Cited By

Effect of Operational Parameters on the Thermal Performance of Flat Plate Oscillating Heat Pipe

J. Heat Transfer (December 2019)

Heat Transfer and Flow Structurein a Latticework Duct WithDifferent Sidewalls

J. Heat Transfer (December 2019)

Thermoelastic Interactions in a Slim Strip Due to a Moving Heat Source Under Dual-Phase-Lag Heat Transfer

J. Heat Transfer (December 2019)

### Related Articles

Application of the WSGG Model to Solve the Radiative Transfer in Gaseous Systems With Nongray Boundaries

J. Heat Transfer (May, 2018)

WSGG Model Correlations to Compute Nongray Radiation From Carbon Monoxide in Combustion Applications

J. Heat Transfer (April, 2017)

Immersed Boundary Method for Radiative Heat Transfer Problems in Nongray Media With Complex Internal and External Boundaries

J. Heat Transfer (February, 2017)

The Spectral Line-Based Weighted-Sum-of-Gray-Gases Model in Nonisothermal Nonhomogeneous Media

J. Heat Transfer (May, 1995)

### Related Proceedings Papers

### Related Chapters

Radiation

Thermal Management of Microelectronic Equipment

Radiation

Thermal Management of Microelectronic Equipment, Second Edition

Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries

International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3