Next Article in Journal
Effect of Shear Walls on the Active Vibration Control of Buildings
Previous Article in Journal
Numerical Study of Alternative Seismic-Resisting Systems for CLT Buildings
Article Menu
Issue 11 (November) cover image

Export Article

Open AccessArticle
Buildings 2018, 8(11), 163;

Transient Radiator Room Heating—Mathematical Model and Solution Algorithm

Faculty of Mechanical Engineering, University of Sarajevo, Sarajevo 71000, Bosnia and Herzegovina
Author to whom correspondence should be addressed.
Received: 2 October 2018 / Revised: 9 November 2018 / Accepted: 12 November 2018 / Published: 18 November 2018
Full-Text   |   PDF [4625 KB, uploaded 21 November 2018]   |  


A mathematical model and robust numerical solution algorithm for radiator heating of an arbitrary room is presented in this paper. Three separate and coupled transient thermal energy equations are solved. A modified transient heat conduction equation is used for solving the heat transfer at multi-layer outer walls and room assembly. Heat exchange between the inner walls and the observed room are represented with their own transport equation and the transient thermal energy equation is solved for radiators as well. Explicit coupling of equations and linearization of source terms result in a simple, accurate, and stabile solution algorithm. Verification of the developed methodology is demonstrated on three carefully selected test cases for which an analytical solution can be found. The obtained results show that even for the small temperature differences between inner walls and room air, the corresponding heat flux can be larger than the transmission heat flux through outer walls or windows. The benefits of the current approach are stressed, while the plans for the further development and application of the methodology are highlighted at the end. View Full-Text
Keywords: radiator heating; mathematical model; numerical solution algorithm radiator heating; mathematical model; numerical solution algorithm

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Teskeredzic, A.; Blazevic, R. Transient Radiator Room Heating—Mathematical Model and Solution Algorithm. Buildings 2018, 8, 163.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Buildings EISSN 2075-5309 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top