Numerical computation of 3D heat transfer in complex parallel heat exchangers using generalized Graetz modes
We propose and develop a variational formulation dedicated to the simulation of parallel convective heat exchangers that handles possibly complex input/output conditions as well as connection between pipes. It is based on a spectral method that allows to re-cast three-dimensional heat exchangers int...
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| Vydané v: | Journal of computational physics Ročník 268; s. 84 - 105 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Inc
01.07.2014
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| ISSN: | 0021-9991, 1090-2716 |
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| Abstract | We propose and develop a variational formulation dedicated to the simulation of parallel convective heat exchangers that handles possibly complex input/output conditions as well as connection between pipes. It is based on a spectral method that allows to re-cast three-dimensional heat exchangers into a two-dimensional eigenvalue problem, named the generalized Graetz problem. Our formulation handles either convective, adiabatic, or prescribed temperature at the entrance or at the exit of the exchanger. This formulation is robust to mode truncation, offering a huge reduction in computational cost, and providing insights into the most contributing structure to exchanges and transfer. Several examples of heat exchangers are analyzed, their numerical convergence is tested and the numerical efficiency of the approach is illustrated in the case of Poiseuille flow in tubes. |
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| AbstractList | We propose and develop a variational formulation dedicated to the simulation of parallel convective heat exchangers that handles possibly complex input/output conditions as well as connection between pipes. It is based on a spectral method that allows to re-cast three-dimensional heat exchangers into a two-dimensional eigenvalue problem, named the generalized Graetz problem. Our formulation handles either convective, adiabatic, or prescribed temperature at the entrance or at the exit of the exchanger. This formulation is robust to mode truncation, offering a huge reduction in computational cost, and providing insights into the most contributing structure to exchanges and transfer. Several examples of heat exchangers are analyzed, their numerical convergence is tested and the numerical efficiency of the approach is illustrated in the case of Poiseuille flow in tubes. |
| Author | Plouraboué, Franck Pierre, Charles de Gournay, Frédéric Bouyssier, Julien |
| Author_xml | – sequence: 1 givenname: Charles surname: Pierre fullname: Pierre, Charles email: charles.pierre@univ-pau.fr organization: Laboratoire de Mathématiques et Applications de Pau, CNRS and Université de Pau et du Pays de l'Adour, av. de l'Université, 64013 Pau Cedex, France – sequence: 2 givenname: Julien surname: Bouyssier fullname: Bouyssier, Julien email: jbouyssi@imft.fr organization: Université de Toulouse, INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), Allés Camille Soula, F-31400 Toulouse, France – sequence: 3 givenname: Frédéric surname: de Gournay fullname: de Gournay, Frédéric email: frederic@degournay.fr organization: Institut de Mathématiques de Toulouse, CNRS and Université Paul Sabatier, Toulouse, France – sequence: 4 givenname: Franck surname: Plouraboué fullname: Plouraboué, Franck email: fplourab@imft.fr organization: Université de Toulouse, INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), Allés Camille Soula, F-31400 Toulouse, France |
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| CitedBy_id | crossref_primary_10_1016_j_ijheatmasstransfer_2023_124743 crossref_primary_10_1098_rsif_2025_0148 crossref_primary_10_1080_10407790_2015_1012440 crossref_primary_10_1016_j_softx_2024_101834 crossref_primary_10_1016_j_ijheatmasstransfer_2016_09_019 crossref_primary_10_1016_j_ijheatmasstransfer_2018_12_185 crossref_primary_10_1007_s11012_020_01192_4 crossref_primary_10_1007_s11831_018_9282_3 crossref_primary_10_1016_j_jtice_2021_05_038 crossref_primary_10_1007_s00707_015_1540_y |
| Cites_doi | 10.1016/0017-9310(92)90089-B 10.1080/00986440590473344 10.1016/j.enbuild.2006.12.008 10.1002/(SICI)1097-0207(19991120)46:8<1291::AID-NME755>3.0.CO;2-O 10.1016/S0017-9310(02)00072-8 10.1016/S0017-9310(99)00151-9 10.1016/j.desal.2008.03.032 10.1007/BF00350515 10.1002/aic.690120214 10.1137/080736442 10.1016/S0017-9310(01)00337-4 10.1155/2009/927350 10.1016/S0017-9310(02)00101-1 10.1016/j.compchemeng.2008.12.006 10.1080/00986445.2011.560517 10.1016/j.ijheatmasstransfer.2011.08.019 10.1016/0017-9310(65)90072-4 10.1016/j.ijheatmasstransfer.2010.06.004 10.1137/11082542X 10.1016/S0955-7997(01)00097-2 10.1016/S0376-7388(00)82156-0 10.1016/S0142-727X(00)00028-X 10.1142/S0218202513500620 |
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| Keywords | Generalized Graetz mode Parallel heat exchangers Optimal weak-variational formulation Functional minimization |
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| Snippet | We propose and develop a variational formulation dedicated to the simulation of parallel convective heat exchangers that handles possibly complex input/output... |
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| SubjectTerms | Adiabatic flow Computational efficiency Eigenvalues Exchange Functional minimization Generalized Graetz mode Handles Heat exchangers Heat transfer Mathematical models Optimal weak-variational formulation Parallel heat exchangers Three dimensional |
| Title | Numerical computation of 3D heat transfer in complex parallel heat exchangers using generalized Graetz modes |
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