<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Finding analytical solutions for the unsteady conduction heat transfer equation is generally very difficult due to the intrinsic complexity of the problem. In most cases, the equation has no analytical solutions. A numerical approach that surmounts these difficulties consists of the finite difference technique. The alternate directions finite-difference technique especially suits to the two-dimension heat conduction. The paper considers a hollow cylinder consisting of a conduction heat transfer medium, and the two-direction unsteady heat propagation within this medium is studied by means of the alternate directions method. The approach simulates the heat conduction process during a charge-discharge cycle of a single borehole heat storage.</p>
</abstract>

Finding analytical solutions for the unsteady conduction heat transfer equation is generally very difficult due to the intrinsic complexity of the problem. In most cases, the equation has no analytical solutions. A numerical approach that surmounts these difficulties consists of the finite difference technique. The alternate directions finite-difference technique especially suits to the two-dimension heat conduction. The paper considers a hollow cylinder consisting of a conduction heat transfer medium, and the two-direction unsteady heat propagation within this medium is studied by means of the alternate directions method. The approach simulates the heat conduction process during a charge-discharge cycle of a single borehole heat storage.

Use of the Alternating Directions Method in Cylindrical Coordinates, Applied to the Two-Dimension Unsteady Conduction Heat Transfer

“Gheorghe Asachi” Technical University of Iaşi

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Finding analytical solutions for the unsteady conduction heat transfer equation is generally very difficult due to the intrinsic complexity of the problem. In...

Use of the Alternating Directions Method in Cylindrical Coordinates, Applied to the Two-Dimension Unsteady Conduction Heat Transfer

Publié en ligne: 28 juil. 2022

Pages: 81 - 93

Reçu: 28 mai 2022

Accepté: 28 juin 2022

DOI: https://doi.org/10.2478/bipcm-2022-0017

Mots clés
finite difference technique, unsteady heat conduction, two-dimension heat propagation, cylindrical coordinates

© 2022 Gabriel-Dumitru Tcaciuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Use of the Alternating Directions Method in Cylindrical Coordinates, Applied to the Two-Dimension Unsteady Conduction Heat Transfer

Publié en ligne: 28 juil. 2022

Pages: 81 - 93

Reçu: 28 mai 2022

Accepté: 28 juin 2022

DOI: https://doi.org/10.2478/bipcm-2022-0017

Mots clésfinite difference technique, unsteady heat conduction, two-dimension heat propagation, cylindrical coordinates

© 2022 Gabriel-Dumitru Tcaciuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
finite difference technique, unsteady heat conduction, two-dimension heat propagation, cylindrical coordinates