Details
| Translated title of the contribution | Ein vereinfachter Lösungsansatz für die Regenerator-Auslegung im Bereich der Raumklimatisierung |
|---|---|
| Original language | English |
| Pages (from-to) | 207-214 |
| Number of pages | 8 |
| Journal | Forschung im Ingenieurwesen |
| Volume | 74 |
| Issue number | 4 |
| Early online date | 28 Aug 2010 |
| Publication status | Published - Dec 2010 |
| Externally published | Yes |
Abstract
This work presents an analytical solution for the periodic heat transfer problem of regenerators used in air conditioning, which are operating at low regeneration temperatures and mass flow rates. These types of regenerators are characterized by NTU/Cr<1. The partial differential equations for hot and cold airflows as well as the regenerator matrix were solved using a successive transformation of variables. They were reduced to the ordinary Bessel differential equation of the type xf″+f′-xf=0. The conventional initial and reversal boundary conditions were used in this work. The solution gives a correlation for the prediction of the regenerator effectiveness. Besides the effectiveness, the solution facilitates the calculation of the matrix temperature distribution and exit airflow temperatures. The result is compared with the available numerical and analytical solutions from literature. The result of this analysis reveals that the consideration of a non-linear matrix temperature distribution as in some previous work for low temperature regenerators just complicates the solution procedure with no significant improvement in the accuracy within the parameter space typical for air conditioning applications.
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
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In: Forschung im Ingenieurwesen, Vol. 74, No. 4, 12.2010, p. 207-214.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A simplified solution of the regenerator periodic problem
T2 - The case for air conditioning
AU - Rabah, A. A.
AU - Kabelac, S.
N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2010/12
Y1 - 2010/12
N2 - This work presents an analytical solution for the periodic heat transfer problem of regenerators used in air conditioning, which are operating at low regeneration temperatures and mass flow rates. These types of regenerators are characterized by NTU/Cr<1. The partial differential equations for hot and cold airflows as well as the regenerator matrix were solved using a successive transformation of variables. They were reduced to the ordinary Bessel differential equation of the type xf″+f′-xf=0. The conventional initial and reversal boundary conditions were used in this work. The solution gives a correlation for the prediction of the regenerator effectiveness. Besides the effectiveness, the solution facilitates the calculation of the matrix temperature distribution and exit airflow temperatures. The result is compared with the available numerical and analytical solutions from literature. The result of this analysis reveals that the consideration of a non-linear matrix temperature distribution as in some previous work for low temperature regenerators just complicates the solution procedure with no significant improvement in the accuracy within the parameter space typical for air conditioning applications.
AB - This work presents an analytical solution for the periodic heat transfer problem of regenerators used in air conditioning, which are operating at low regeneration temperatures and mass flow rates. These types of regenerators are characterized by NTU/Cr<1. The partial differential equations for hot and cold airflows as well as the regenerator matrix were solved using a successive transformation of variables. They were reduced to the ordinary Bessel differential equation of the type xf″+f′-xf=0. The conventional initial and reversal boundary conditions were used in this work. The solution gives a correlation for the prediction of the regenerator effectiveness. Besides the effectiveness, the solution facilitates the calculation of the matrix temperature distribution and exit airflow temperatures. The result is compared with the available numerical and analytical solutions from literature. The result of this analysis reveals that the consideration of a non-linear matrix temperature distribution as in some previous work for low temperature regenerators just complicates the solution procedure with no significant improvement in the accuracy within the parameter space typical for air conditioning applications.
UR - http://www.scopus.com/inward/record.url?scp=78650554170&partnerID=8YFLogxK
U2 - 10.1007/s10010-010-0126-z
DO - 10.1007/s10010-010-0126-z
M3 - Article
AN - SCOPUS:78650554170
VL - 74
SP - 207
EP - 214
JO - Forschung im Ingenieurwesen
JF - Forschung im Ingenieurwesen
SN - 0015-7899
IS - 4
ER -