Original scientific paper

Entropy generation minimization in steady heat conduction through a cylinder wall with internal heat generation

Marija Živić orcid.org/0000-0003-2072-376X ; Josip Juraj Strossmayer University of Osijek, Mechanical Engineering Faculty in Slavonski Brod, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, Croatia
Antun Galović ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10000 Zagreb, Croatia
Mario Holik orcid.org/0000-0002-4755-7522 ; Josip Juraj Strossmayer University of Osijek, Mechanical Engineering Faculty in Slavonski Brod, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, Croatia

Abstract

Minimization of the entropy generation in steady heat conduction through a cylinder wall with an internal heat generation and isothermal boundary conditions is considered in a detail. The problem is solved analytically by introducing the relevant dimensionless variables: the dimensionless rate of internal heat generation, the ratio of the outside to the inside radius, and the ratio of the boundary temperatures. By means of these values and the dimensionless radius, the analytical expressions for the temperature distribution, and the local and total entropy generation are derived. A necessary condition for the existence of a minimum of the entropy generation is presented and the results of the analysis are explained. The field of the values of the ratio of the outside to the inside radius and the ratio of the boundary temperatures, for certain values of the internal heat generation, in which minimum of the entropy generation exists is presented.

Keywords

entropy generation; cylinder wall; internal heat generation; isothermal boundary conditions

Hrčak ID:

129101

URI

https://hrcak.srce.hr/129101

Publication date:

29.10.2014.

Article data in other languages: croatian

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