Applying the topological derivative and the boundary element method to design of shape of the heat exchanger

• Autorzy: Freus K. , Freus S.

Identyfikatory

DOI

10.17512/jamcm.2015.2.01

• Języki publikacji: EN

Abstrakty

EN

In this work, the topological derivative for the Laplace equation is used to solve a design problem. This derivative describes the sensitivity of the problem when a small hole is formed at an arbitrary point of the domain. The goal of this work is to design topology of the domain when the Robin condition is imposed on the holes. Physically, the holes can be construed as cooling channels. For finding the solution of the governing equation the boundary element method is applied. The final part of the paper presents the design of the heat exchanger and results of computations.

Słowa kluczowe

EN

topological derivative; topological sensitivity; Laplace equation; boundary element method; heat transfer

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 2
• Strony: 5--12
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Freus K.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Freus S.

• Institute of Computer and Information Science, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Navotny A.A., Feijoo R.A., Taroco E., Padra C., Topological-shape sensitivity analysis, Comput. Methods Appl. Mech. Eng. 2003, 192, 803-829.
• [2] Marczak R.J., Topology optimization and boundary elements - a preliminary implementation for linear heat transfer, Engineering Analysis with Boundary Elements 2007, 31, 793-802.
• [3] Anflor C.T.M., Marczak R.J., Topological sensitivity analysis for two-dimensional heat transfer problems using the Boundary Element Method, Optimization of Structures and Components Advanced Structured Materials 2013, 43, 11-33.
• [4] Freus K., Freus S., Determination of an optimal shape of domain using the topological derivative and Boundary Element Method, Journal of Applied Mathematics and Computational Mechanics 2014, 13(4), 41-48.
• [5] Brebbia C.A., Dominguez J., Boundary Elements. An Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [6] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of Czestochowa University of Technology, Czestochowa 2001 (in Polish).