To read this content please select one of the options below:

Novel gradient‐based methods for heat flux retrieval

Hosein Molavi (Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran)
Javad Rezapour (Department of Mechanical Engineering, Islamic Azad University, Lahijan, Iran)
Sahar Noori (Department of Aerospace Engineering, AmirKabir University of Technology, Tehran, Iran)
Sadjad Ghasemloo (Department of Aerospace Engineering, AmirKabir University of Technology, Tehran, Iran)
Kourosh Amir Aslani (Department of Mechanical Engineering, Azad University of Tehran, Tehran, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 12 April 2013

105

Abstract

Purpose

The purpose of this paper is to present novel search formulations in gradient‐type methods for prediction of boundary heat flux distribution in two‐dimensional nonlinear heat conduction problems.

Design/methodology/approach

The performance of gradient‐type methods is strongly contingent upon the effective determination of the search direction. Based on the definition of this parameter, gradient‐based methods such as steepest descent, various versions of both conjugate gradient and quasi‐Newton can be distinguished. By introducing new search techniques, several examples in the presence of noise in data are studied and discussed to verify the accuracy and efficiency of the present strategies.

Findings

The verification of the proposed methods for recovering time and space varying heat flux. The performance of the proposed methods via comparisons with the classical methods involved in its derivation.

Originality/value

The innovation of the present method is to use a hybridization of a conjugate gradient and a quasi‐Newton method to determine the search directions in gradient‐based approaches.

Keywords

Citation

Molavi, H., Rezapour, J., Noori, S., Ghasemloo, S. and Amir Aslani, K. (2013), "Novel gradient‐based methods for heat flux retrieval", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 3, pp. 499-519. https://doi.org/10.1108/09615531311301272

Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

Related articles