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Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance

Received: 24 December 2015    Accepted: 4 January 2016    Published: 15 January 2016
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Abstract

We investigate the effects of key parameters of the rock bed system on thermal cooling performance of the system after a fixed time of operation. The method of solving the mathematical model uses a semi-discretization finite difference approximation for discretizing space in solid problem domain. A finite element approximation is used in the fluid problem domain. Graphical results on the effects of parameter variation on damping and time delay on the peaking of the outlet air temperature through the bed are presented and discussed.

Published in Applied and Computational Mathematics (Volume 5, Issue 1)
DOI 10.11648/j.acm.20160501.12
Page(s) 10-17
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rock Beds, Effects, Thermal Storage Systems, Parameters

References
[1] Aly, S. L. and El-Sharkawy, A. L. (1990) Effect of Storage Medium on Thermal Properties of Packed Bed. Heat Recovery System CHP 10(5/6): 509-519.
[2] Anderson, R., Bates, L., Jackson, E. and Morris, F. J. (2015) Packed Bed Thermal Energy Storage: A Simplified Experimentally Validated Model. Journal of Energy Storage 4: 14-23.
[3] Ataer, O. E. (2006) Storage of Thermal Energy, in Energy Storage Systems, in Encyclopaedia of Life Support Systems (EOLSS), Eolss Publishers, Oxford, UK.
[4] Balaras, C. A. (1996) The role of Thermal Mass on the Cooling load of Buildings. An Overview of Computational Methods. Energy and Buildings 24: 1-10.
[5] Barnard, N. (2006) Hybrid Cooling Solutions: Night Cooling and Mechanical Refrigeration. In Proc. of Institute of Refrigeration, 7th December, 2006, London South Bank University, London SEI.
[6] Beasley, D. E. and Clack, J. A. (1984) Transient Response of a Packed Bed for Thermal Energy Storage. International Journal of Heat Mass Transfer 27(9): 1659-1669.
[7] Coutier, J. P. and Farber, E. A. (1982) Two Applications of a Numerical Approach of Heat Transfer Process within Rock beds. Solar Energy 29(6): 451-462.
[8] Dincer, I., Dost, S., Li, X. (1997) Performance Analysis of Sensible Heat Storage Systems for Thermal Applications. Int. J. Energy Research 21: 1157-1171.
[9] Isanska-Cwiek, A. (2005) Experimental and CFD research on the thermal performance on the air cooled slab system. Building Simulation, Ninth International IBPSA conference.
[10] Kuravi, S., Trahan, J., Goswami, Y. D., Rahman, M. M. and Stefankos, E. K. (2013) Review of Thermal Energy Technologies and Systems for concentrating Solar Power Plants. Progress in Energy and Combustion Science 39: 285-319.
[11] Li, P., Van Lew, J., Chan, C., Karaki, W., Stephens, J. and O’Brien, J. E. (2012) Similarities and Generalized Analysis of Efficiencies of Thermal Energy Storage Systems. Renewable Energy 39(1): 388-402.
[12] Logan, D. L., (2007) A First course in the Finite Element Method, 4th edition, Rahul Print O pack, Delhi-20.
[13] Manohar, K., Adeyanju, A. A., (2009) Comparison of Thermal Energy Storage Techniques. Journal of Engineering and Applied Sciences 4 (3): 221-231.
[14] Pasupathy, A. P., Velraj, R., (2006) Mathematical modelling and Experimental study on building ceiling using Phase Change Material for Energy conservation. The 2nd Joint International Conference on Sustainable Energy and Environment (SEE 2006) 21-23 November 2006, Bangkok, Thailand.
[15] Ravikumar, M., Srinivasan, P. S. S., (2005) Phase Change Material as a Thermal Energy Storage Material for Cooling of Building. Journal of Theoretical and Applied Information Technology 4, No. 6: 503-511.
[16] Singh, R., Saini, R. P., Saini, J. S., (2010) A Review on Packed bed Solar Energy Storage Systems. Renewable and Sustainable Energy Reviews 14: 1059-1069.
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  • APA Style

    Alex Xavery Matofali, Estomih S. Massawe. (2016). Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance. Applied and Computational Mathematics, 5(1), 10-17. https://doi.org/10.11648/j.acm.20160501.12

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    ACS Style

    Alex Xavery Matofali; Estomih S. Massawe. Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance. Appl. Comput. Math. 2016, 5(1), 10-17. doi: 10.11648/j.acm.20160501.12

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    AMA Style

    Alex Xavery Matofali, Estomih S. Massawe. Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance. Appl Comput Math. 2016;5(1):10-17. doi: 10.11648/j.acm.20160501.12

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  • @article{10.11648/j.acm.20160501.12,
      author = {Alex Xavery Matofali and Estomih S. Massawe},
      title = {Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance},
      journal = {Applied and Computational Mathematics},
      volume = {5},
      number = {1},
      pages = {10-17},
      doi = {10.11648/j.acm.20160501.12},
      url = {https://doi.org/10.11648/j.acm.20160501.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.12},
      abstract = {We investigate the effects of key parameters of the rock bed system on thermal cooling performance of the system after a fixed time of operation. The method of solving the mathematical model uses a semi-discretization finite difference approximation for discretizing space in solid problem domain. A finite element approximation is used in the fluid problem domain. Graphical results on the effects of parameter variation on damping and time delay on the peaking of the outlet air temperature through the bed are presented and discussed.},
     year = {2016}
    }
    

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    AU  - Alex Xavery Matofali
    AU  - Estomih S. Massawe
    Y1  - 2016/01/15
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    T2  - Applied and Computational Mathematics
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    AB  - We investigate the effects of key parameters of the rock bed system on thermal cooling performance of the system after a fixed time of operation. The method of solving the mathematical model uses a semi-discretization finite difference approximation for discretizing space in solid problem domain. A finite element approximation is used in the fluid problem domain. Graphical results on the effects of parameter variation on damping and time delay on the peaking of the outlet air temperature through the bed are presented and discussed.
    VL  - 5
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Author Information
  • Faculty of Science, Department of Biometry and Mathematics, Sokoine University of Agriculture, Morogoro, Tanzania

  • Mathematics Department, University of Dar es Salaam, Dar es Salaam, Tanzania

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