Non-Archimedean models of mixing—II. A nearly dispersional model for packed bed thermal storage systems

A non-Archimedean mathematical model for simulating the transient characteristics of heat transfer in a packed bed thermal storage system is presented. The use of Hermite polynomials is proposed for the analysis of systems which exhibit many scales of heat transfer. The obtained solution is an expan...

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Published inChemical engineering science Vol. 43; no. 3; pp. 699 - 702
Main Authors Iordache, Octavian, Isopescu, Raluca, Isopescu, Alexandru, Iacobini, Anca, Jinescu, Gheorghita
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1988
Elsevier
Subjects
Applied sciences
Chemical engineering
Exact sciences and technology
Hydrodynamics of contact apparatus
Packed bed
Mixing
Storage
Dynamics
Unsteady state
Mathematical model
Dispersion
Heat transfer
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Abstract A non-Archimedean mathematical model for simulating the transient characteristics of heat transfer in a packed bed thermal storage system is presented. The use of Hermite polynomials is proposed for the analysis of systems which exhibit many scales of heat transfer. The obtained solution is an expansion in which the first term corresponds to the axial dispersion. A comparison of experimental data reported from literature with the numerical prediction shows a good correlation.
AbstractList A non-Archimedean mathematical model for simulating the transient characteristics of heat transfer in a packed bed thermal storage system is presented. The use of Hermite polynomials is proposed for the analysis of systems which exhibit many scales of heat transfer. The obtained solution is an expansion in which the first term corresponds to the axial dispersion. A comparison of experimental data reported from literature with the numerical prediction shows a good correlation.
Author Jinescu, Gheorghita
Iacobini, Anca
Isopescu, Alexandru
Iordache, Octavian
Isopescu, Raluca
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  givenname: Gheorghita
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Cites_doi 10.1016/0038-092X(82)90206-7
10.1016/0009-2509(78)85196-3
10.1063/1.1692743
10.1098/rspa.1967.0107
10.1016/0038-092X(78)90039-7
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Issue 3
Keywords Packed bed
Mixing
Storage
Dynamics
Unsteady state
Mathematical model
Dispersion
Heat transfer
Language English
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References Gill (BIB1) 1967; 298
Robert (BIB4) 1967; 19
Riaz (BIB3) 1978; 21
Saez, McCoy (BIB5) 1982; 29
Kreft, Zuber (BIB2) 1978; 33
Saffman (BIB6) 1969; 12
Kreft (10.1016/0009-2509(88)87028-3_BIB2) 1978; 33
Riaz (10.1016/0009-2509(88)87028-3_BIB3) 1978; 21
Robert (10.1016/0009-2509(88)87028-3_BIB4) 1967; 19
Saez (10.1016/0009-2509(88)87028-3_BIB5) 1982; 29
Gill (10.1016/0009-2509(88)87028-3_BIB1) 1967; 298
Saffman (10.1016/0009-2509(88)87028-3_BIB6) 1969; 12
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  end-page: 128
  ident: BIB3
  article-title: Transient analysis of packed-bed thermal storage systems
  publication-title: Solar Energy
  contributor:
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– volume: 298
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  article-title: A note on the solution of transient dispersion problems
  publication-title: Proc. R. Soc. A
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  ident: BIB5
  article-title: Dynamic response of a packed bed thermal storage system—A model for solar air heating
  publication-title: Solar Energy
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– volume: 19
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  end-page: 77
  ident: BIB4
  article-title: On some non-Archimedean linear spaces
  publication-title: Compos. Math.
  contributor:
    fullname: Robert
– volume: 12
  start-page: 1786
  year: 1969
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  ident: BIB6
  article-title: Application of the Wiener-Hermite expansion to the diffusion of a passive scalar in a homogeneous turbulent flow
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– volume: 29
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  ident: 10.1016/0009-2509(88)87028-3_BIB5
  article-title: Dynamic response of a packed bed thermal storage system—A model for solar air heating
  publication-title: Solar Energy
  doi: 10.1016/0038-092X(82)90206-7
  contributor:
    fullname: Saez
– volume: 33
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  article-title: On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions
  publication-title: Chem. Engng Sci.
  doi: 10.1016/0009-2509(78)85196-3
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– volume: 12
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  ident: 10.1016/0009-2509(88)87028-3_BIB6
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  publication-title: Phys. Fluids
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  contributor:
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– volume: 298
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  article-title: A note on the solution of transient dispersion problems
  publication-title: Proc. R. Soc. A
  doi: 10.1098/rspa.1967.0107
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– volume: 19
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– volume: 21
  start-page: 123
  year: 1978
  ident: 10.1016/0009-2509(88)87028-3_BIB3
  article-title: Transient analysis of packed-bed thermal storage systems
  publication-title: Solar Energy
  doi: 10.1016/0038-092X(78)90039-7
  contributor:
    fullname: Riaz
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Chemical engineering
Exact sciences and technology
Hydrodynamics of contact apparatus
Title Non-Archimedean models of mixing—II. A nearly dispersional model for packed bed thermal storage systems
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