<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The presented article discusses how to increase heat transfer through ribbed surfaces and it is oriented to the mathematical representation of temperature fields and the total thermal flow. The complexity of solving for some types of ribs with variable cross-section requires the application of numerical methods, which are applied consequently to the planar rib as well. In this case there was chosen the finite- difference method (FDM). During solution of the cylindrical ribs the FDM method is preferably used directly with regard to the complexity of solving for infinite sums and improper integrals in Bessel functions. In conclusion is assessed the application suitability of the calculation procedure applied to curved ribs. This procedure is usually used to planar ribs. At the same time it is pointed out the possibility of using this method for calculation of the total thermal flow through cylindrical ribs, which have got the squared form.</p></abstract>

The presented article discusses how to increase heat transfer through ribbed surfaces and it is oriented to the mathematical representation of temperature fields and the total thermal flow. The complexity of solving for some types of ribs with variable cross-section requires the application of numerical methods, which are applied consequently to the planar rib as well. In this case there was chosen the finite- difference method (FDM). During solution of the cylindrical ribs the FDM method is preferably used directly with regard to the complexity of solving for infinite sums and improper integrals in Bessel functions. In conclusion is assessed the application suitability of the calculation procedure applied to curved ribs. This procedure is usually used to planar ribs. At the same time it is pointed out the possibility of using this method for calculation of the total thermal flow through cylindrical ribs, which have got the squared form.

Application of Analytical Solution for Extended Surfaces on Curved and Squared Ribs

Faculty of Mechanical Engineering, Technical University in Kosice, Department of Power Engineering, Vysokoškolská 4, 042 00 Košice, Slovak Republic

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The presented article discusses how to increase heat transfer through ribbed surfaces and it is oriented to the mathematical representation of temperature...

Application of Analytical Solution for Extended Surfaces on Curved and Squared Ribs

Published Online: Aug 14, 2015

Page range: 75 - 83

Received: Oct 20, 2014

Accepted: May 21, 2015

DOI: https://doi.org/10.1515/ama-2015-0013

Keywords
Temperature Field, Thermal Flow, Numerical Solution, Finite-Difference Method

© Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Application of Analytical Solution for Extended Surfaces on Curved and Squared Ribs

Published Online: Aug 14, 2015

Page range: 75 - 83

Received: Oct 20, 2014

Accepted: May 21, 2015

DOI: https://doi.org/10.1515/ama-2015-0013

KeywordsTemperature Field, Thermal Flow, Numerical Solution, Finite-Difference Method

© Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Temperature Field, Thermal Flow, Numerical Solution, Finite-Difference Method