Solution of the inverse heat conduction problem with neumann boundary condition by using the homotopy perturbation method

Edyta Hetmaniok; Iwona Nowak; Damian Slota; Roman Witula; Adam Zielonka

doi:10.2298/TSCI120826051H

Solution of the inverse heat conduction problem with neumann boundary condition by using the homotopy perturbation method

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

Original language	English
Pages (from-to)	643-650
Number of pages	8
Journal	Thermal Science
Volume	17
Issue number	3
DOIs	https://doi.org/10.2298/TSCI120826051H
Publication status	Published - 2013

Keywords

Heat transfer
Homotopy perturbation method
Inverse problem

ASJC Scopus subject areas

Renewable Energy, Sustainability and the Environment

Access to Document

10.2298/TSCI120826051H

Cite this

@article{f52468e7b0694c6dade54f9a1f5735e8,

title = "Solution of the inverse heat conduction problem with neumann boundary condition by using the homotopy perturbation method",

abstract = "In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.",

keywords = "Heat transfer, Homotopy perturbation method, Inverse problem",

author = "Edyta Hetmaniok and Iwona Nowak and Damian Slota and Roman Witula and Adam Zielonka",

year = "2013",

doi = "10.2298/TSCI120826051H",

language = "English",

volume = "17",

pages = "643--650",

journal = "Thermal Science",

issn = "0354-9836",

publisher = "Serbian Society of Heat Transfer Engineers",

number = "3",

}

TY - JOUR

T1 - Solution of the inverse heat conduction problem with neumann boundary condition by using the homotopy perturbation method

AU - Hetmaniok, Edyta

AU - Nowak, Iwona

AU - Slota, Damian

AU - Witula, Roman

AU - Zielonka, Adam

PY - 2013

Y1 - 2013

N2 - In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

AB - In the paper a solution of the inverse heat conduction problem with the Neumann boundary condition is presented. For finding this solution the homotopy perturbation method is applied. Investigated problem consists in calculation of the temperature distribution in considered domain, as well as in reconstruction of the functions describing the temperature and the heat flux on the boundary, in case when the temperature measurements in some points of the domain are known. An example confirming usefulness of the homotopy perturbation method for solving problems of this kind are also included.

KW - Heat transfer

KW - Homotopy perturbation method

KW - Inverse problem

UR - https://www.scopus.com/pages/publications/84886780414

U2 - 10.2298/TSCI120826051H

DO - 10.2298/TSCI120826051H

M3 - Article

AN - SCOPUS:84886780414

SN - 0354-9836

VL - 17

SP - 643

EP - 650

JO - Thermal Science

JF - Thermal Science

IS - 3

ER -

Solution of the inverse heat conduction problem with neumann boundary condition by using the homotopy perturbation method

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this