IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v36y2011i10p6195-6207.html
   My bibliography  Save this article

Classical and minimum entropy generation analyses for steady state conduction with temperature dependent thermal conductivity and asymmetric thermal boundary conditions: Regular and functionally graded materials

Author

Listed:
  • Aziz, A.
  • Khan, W.A.

Abstract

Minimum entropy generation (MEG) temperature profiles are derived for steady conduction in a plane wall, a hollow cylinder and a hollow sphere and compared with the classical results. Cases of constant thermal conductivity, temperature dependent and location dependent thermal conductivities for each geometry are analyzed. Results are presented for the classical and the minimum entropy temperature profiles illustrating the effect of thermal asymmetry and variable thermal conductivity in each geometry. These results show that the difference between the classical and the MEG temperature profiles is largest when there is a strong thermal asymmetry. For all three geometries, the effect of temperature dependent thermal conductivity on the classical temperatures is moderate but its effect on the MEG temperatures is only small. Both the classical and minimum entropy generation rates, for each geometry, are found to be strong functions of thermal asymmetry and thermal conductivity variation parameter. Comparison of results for a hollow cylinder and a hollow sphere reveals that rate of entropy generation in a hollow sphere is much higher than in a hollow cylinder for the same thermal asymmetry and radius ratio.

Suggested Citation

  • Aziz, A. & Khan, W.A., 2011. "Classical and minimum entropy generation analyses for steady state conduction with temperature dependent thermal conductivity and asymmetric thermal boundary conditions: Regular and functionally grade," Energy, Elsevier, vol. 36(10), pages 6195-6207.
    • Handle: RePEc:eee:energy:v:36:y:2011:i:10:p:6195-6207
    DOI: 10.1016/j.energy.2011.07.042
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544211004907
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2011.07.042?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Xianglin & Faghri, Amir, 2011. "Local entropy generation analysis on passive high-concentration DMFCs (direct methanol fuel cell) with different cell structures," Energy, Elsevier, vol. 36(1), pages 403-414.
    2. Revellin, Rémi & Lips, Stéphane & Khandekar, Sameer & Bonjour, Jocelyn, 2009. "Local entropy generation for saturated two-phase flow," Energy, Elsevier, vol. 34(9), pages 1113-1121.
    3. Kolenda, Z. & Donizak, J. & Hubert, J., 2004. "On the minimum entropy production in steady state heat conduction processes," Energy, Elsevier, vol. 29(12), pages 2441-2460.
    4. Chen, Qun & Wang, Moran & Pan, Ning & Guo, Zeng-Yuan, 2009. "Optimization principles for convective heat transfer," Energy, Elsevier, vol. 34(9), pages 1199-1206.
    5. Ben Nejma, F. & Mazgar, A. & Abdallah, N. & Charrada, K., 2008. "Entropy generation through combined non-grey gas radiation and forced convection between two parallel plates," Energy, Elsevier, vol. 33(7), pages 1169-1178.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Torabi, Mohsen & Karimi, Nader & Zhang, Kaili, 2015. "Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources," Energy, Elsevier, vol. 93(P1), pages 106-127.
    2. Kundu, Balaram & Lee, Kwan-Soo, 2012. "Analytic solution for heat transfer of wet fins on account of all nonlinearity effects," Energy, Elsevier, vol. 41(1), pages 354-367.
    3. Torabi, Mohsen & Zhang, Kaili, 2014. "Temperature distribution and classical entropy generation analyses in an asymmetric cooling composite hollow cylinder with temperature-dependent thermal conductivity and internal heat generation," Energy, Elsevier, vol. 73(C), pages 484-496.
    4. Ibáñez, Guillermo & López, Aracely & Pantoja, Joel & Moreira, Joel & Reyes, Juan A., 2013. "Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels," Energy, Elsevier, vol. 50(C), pages 143-149.
    5. Mahian, Omid & Mahmud, Shohel & Heris, Saeed Zeinali, 2012. "Analysis of entropy generation between co-rotating cylinders using nanofluids," Energy, Elsevier, vol. 44(1), pages 438-446.
    6. Xu, Mingtian, 2012. "Variational principles in terms of entransy for heat transfer," Energy, Elsevier, vol. 44(1), pages 973-977.
    7. Jilani, G. & Thomas, Ciby, 2014. "Effect of thermo-geometric parameters on entropy generation in absorber plate fin of a solar flat plate collector," Energy, Elsevier, vol. 70(C), pages 35-42.
    8. Torabi, Mohsen & Zhang, Kaili, 2015. "Temperature distribution, local and total entropy generation analyses in MHD porous channels with thick walls," Energy, Elsevier, vol. 87(C), pages 540-554.
    9. Torabi, Mohsen & Zhang, Kaili & Yang, Guangcheng & Wang, Jun & Wu, Peng, 2014. "Temperature distribution, local and total entropy generation analyses in asymmetric cooling composite geometries with multiple nonlinearities: Effect of imperfect thermal contact," Energy, Elsevier, vol. 78(C), pages 218-234.
    10. Torabi, Mohsen & Zhang, Kaili, 2014. "Classical entropy generation analysis in cooled homogenous and functionally graded material slabs with variation of internal heat generation with temperature, and convective–radiative boundary conditi," Energy, Elsevier, vol. 65(C), pages 387-397.
    11. Yang, Lei & Zhao, Jiafei & Liu, Weiguo & Yang, Mingjun & Song, Yongchen, 2015. "Experimental study on the effective thermal conductivity of hydrate-bearing sediments," Energy, Elsevier, vol. 79(C), pages 203-211.
    12. Torabi, Mohsen & Zhang, Kaili & Yang, Guangcheng & Wang, Jun & Wu, Peng, 2015. "Heat transfer and entropy generation analyses in a channel partially filled with porous media using local thermal non-equilibrium model," Energy, Elsevier, vol. 82(C), pages 922-938.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ibáñez, Guillermo & López, Aracely & Pantoja, Joel & Moreira, Joel & Reyes, Juan A., 2013. "Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels," Energy, Elsevier, vol. 50(C), pages 143-149.
    2. Xu, Mingtian, 2012. "Variational principles in terms of entransy for heat transfer," Energy, Elsevier, vol. 44(1), pages 973-977.
    3. Sciacovelli, A. & Verda, V. & Sciubba, E., 2015. "Entropy generation analysis as a design tool—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 1167-1181.
    4. Makhanlall, D. & Liu, L.H. & Zhang, H.C., 2010. "SLA (Second-law analysis) of transient radiative transfer processes," Energy, Elsevier, vol. 35(12), pages 5151-5160.
    5. Yuan, Zhenyu & Yang, Jie & Li, Xiaoyang & Wang, Shikai, 2016. "The micro-scale analysis of the micro direct methanol fuel cell," Energy, Elsevier, vol. 100(C), pages 10-17.
    6. Yuan, Zhenyu & Zhang, Yufeng & Fu, Wenting & Li, Zipeng & Liu, Xiaowei, 2013. "Investigation of a small-volume direct methanol fuel cell stack for portable applications," Energy, Elsevier, vol. 51(C), pages 462-467.
    7. Sciacovelli, Adriano & Verda, Vittorio, 2009. "Entropy generation analysis in a monolithic-type solid oxide fuel cell (SOFC)," Energy, Elsevier, vol. 34(7), pages 850-865.
    8. Wei-Tao Wu & Mehrdad Massoudi & Hongbin Yan, 2017. "Heat Transfer and Flow of Nanofluids in a Y-Type Intersection Channel with Multiple Pulsations: A Numerical Study," Energies, MDPI, vol. 10(4), pages 1-18, April.
    9. Xia, Shaojun & Chen, Lingen & Sun, Fengrui, 2011. "Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory," Energy, Elsevier, vol. 36(1), pages 633-646.
    10. Wang, Huiru & Liu, Zhenyu & Wu, Huiying, 2017. "Entransy dissipation-based thermal resistance optimization of slab LHTES system with multiple PCMs arranged in a 2D array," Energy, Elsevier, vol. 138(C), pages 739-751.
    11. Chen, Qun & Pan, Ning & Guo, Zeng-Yuan, 2011. "A new approach to analysis and optimization of evaporative cooling system II: Applications," Energy, Elsevier, vol. 36(5), pages 2890-2898.
    12. Samuel O. Adesanya & J. A. Falade & J. C. Ukaegbu & K. S. Adekeye, 2016. "Mathematical Analysis of a Reactive Viscous Flow through a Channel Filled with a Porous Medium," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, December.
    13. Alipour Najmi, Ali & Rowshanzamir, Soosan & Parnian, Mohammad Javad, 2016. "Investigation of NaOH concentration effect in injected fuel on the performance of passive direct methanol alkaline fuel cell with modified cation exchange membrane," Energy, Elsevier, vol. 94(C), pages 589-599.
    14. Bhardwaj, Saurabh & Dalal, Amaresh & Pati, Sukumar, 2015. "Influence of wavy wall and non-uniform heating on natural convection heat transfer and entropy generation inside porous complex enclosure," Energy, Elsevier, vol. 79(C), pages 467-481.
    15. Igor Donskoy, 2022. "On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review," Energies, MDPI, vol. 15(19), pages 1-23, September.
    16. Tian Zhao & Di Liu & Ke-Lun He & Xi Chen & Qun Chen, 2020. "An Integrated Three-Level Synergetic and Reliable Optimization Method Considering Heat Transfer Process, Component, and System," Energies, MDPI, vol. 13(16), pages 1-19, August.
    17. Oravec, Juraj & Horváthová, Michaela & Bakošová, Monika, 2020. "Energy efficient convex-lifting-based robust control of a heat exchanger," Energy, Elsevier, vol. 201(C).
    18. Meng, Fankai & Chen, Lingen & Sun, Fengrui, 2011. "A numerical model and comparative investigation of a thermoelectric generator with multi-irreversibilities," Energy, Elsevier, vol. 36(5), pages 3513-3522.
    19. Sun, Lin & Zha, Xinlang & Luo, Xionglin, 2018. "Coordination between bypass control and economic optimization for heat exchanger network," Energy, Elsevier, vol. 160(C), pages 318-329.
    20. Torabi, Mohsen & Zhang, Kaili, 2014. "Classical entropy generation analysis in cooled homogenous and functionally graded material slabs with variation of internal heat generation with temperature, and convective–radiative boundary conditi," Energy, Elsevier, vol. 65(C), pages 387-397.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:36:y:2011:i:10:p:6195-6207. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.