IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v82y2015icp922-938.html
   My bibliography  Save this article

Heat transfer and entropy generation analyses in a channel partially filled with porous media using local thermal non-equilibrium model

Author

Listed:
  • Torabi, Mohsen
  • Zhang, Kaili
  • Yang, Guangcheng
  • Wang, Jun
  • Wu, Peng

Abstract

Precise prediction of thermal processes is one of the major concerns in the field of heat transfer and within energy research communities. It has been proven that using LTE (local thermal equilibrium) conditions within a porous medium may give researchers erroneous data. From another point of view, the entropy generation which is directly related to the loss of available work within a system, is in the core of energy associated analyses. This work investigates temperature distribution, Nusselt number, and local and total entropy generation rates within a channel partially filled with porous medium using LTNE (local thermal non-equilibrium) conditions. The lower wall of the channel is exposed to a constant heat flux and the upper wall is assumed in the adiabatic condition. Viscous dissipation effects are incorporated into the energy equations. Rigorous analytical solutions are obtained for the velocity and temperature fields. Incorporating the achieved formulas into certain formulations, Nusselt number, and local and total entropy generation rates are obtained and plotted. Similar to previous publications [Int. J. Heat Mass Transf. 2011;54:5286–97. Transp. Porous Media 2012;96:169–72. J. Heat Trans. 2011;133:052602], some bifurcation phenomena for temperature field and Nusselt number are reported. Moreover, for the first time, a bifurcation phenomenon regarding the entropy generation rate is reported. Comprehensive discussion regarding effects of some thermophysical parameters such as porous thickness, Biot number, Brinkman number, Peclet number and some other parameters on the velocity, temperature, Nusselt number and entropy generation rates is provided. Due to the broad applications of the fundamental studied geometry in this work and, more importantly, the importance of LTNE model in a porous medium, these findings are useful for both industries and scientific researches.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:82:y:2015:i:c:p:922-938
    DOI: 10.1016/j.energy.2015.01.102
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544215001267
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2015.01.102?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. Jiang, Fangming & Chen, Jiliang & Huang, Wenbo & Luo, Liang, 2014. "A three-dimensional transient model for EGS subsurface thermo-hydraulic process," Energy, Elsevier, vol. 72(C), pages 300-310.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Anand, Vishal, 2014. "Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition," Energy, Elsevier, vol. 76(C), pages 716-732.
    7. 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.
    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. Srinivasacharya, D. & Hima Bindu, K., 2015. "Entropy generation in a micropolar fluid flow through an inclined channel with slip and convective boundary conditions," Energy, Elsevier, vol. 91(C), pages 72-83.
    3. Srinivasacharya, D. & Bindu, K. Hima, 2016. "Entropy generation in a porous annulus due to micropolar fluid flow with slip and convective boundary conditions," Energy, Elsevier, vol. 111(C), pages 165-177.
    4. Li, Haowen & Yang, Huachao & Xu, Chenxuan & Yan, Jianhua & Cen, Kefa & Ostrikov, Kostya (Ken) & Bo, Zheng, 2022. "Entropy generation analysis in supercapacitor modules based on a three-dimensional coupled thermal model," Energy, Elsevier, vol. 244(PB).
    5. Li, Haowen & Yang, Huachao & Yan, Jianhua & Cen, Kefa & Ostrikov, Kostya (Ken) & Bo, Zheng, 2022. "Energy and entropy generation analysis in a supercapacitor for different operating conditions," Energy, Elsevier, vol. 260(C).
    6. 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.
    7. Siavashi, Majid & Talesh Bahrami, Hamid Reza & Saffari, Hamid, 2015. "Numerical investigation of flow characteristics, heat transfer and entropy generation of nanofluid flow inside an annular pipe partially or completely filled with porous media using two-phase mixture ," Energy, Elsevier, vol. 93(P2), pages 2451-2466.
    8. Hamed Rasam & Prosun Roy & Laura Savoldi & Shabnam Ghahremanian, 2020. "Numerical Assessment of Heat Transfer and Entropy Generation of a Porous Metal Heat Sink for Electronic Cooling Applications," Energies, MDPI, vol. 13(15), pages 1-19, July.

    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. 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. 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.
    3. 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.
    4. Chee, Yi Shen & Ting, Tiew Wei & Hung, Yew Mun, 2015. "Entropy generation of viscous dissipative flow in thermal non-equilibrium porous media with thermal asymmetries," Energy, Elsevier, vol. 89(C), pages 382-401.
    5. Srinivasacharya, D. & Bindu, K. Hima, 2016. "Entropy generation in a porous annulus due to micropolar fluid flow with slip and convective boundary conditions," Energy, Elsevier, vol. 111(C), pages 165-177.
    6. 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.
    7. 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.
    8. 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.
    9. Shi, Yu & Song, Xianzhi & Shen, Zhonghou & Wang, Gaosheng & Li, Xiaojiang & Zheng, Rui & Geng, Lidong & Li, Jiacheng & Zhang, Shikun, 2018. "Numerical investigation on heat extraction performance of a CO2 enhanced geothermal system with multilateral wells," Energy, Elsevier, vol. 163(C), pages 38-51.
    10. Xu, Mingtian, 2012. "Variational principles in terms of entransy for heat transfer," Energy, Elsevier, vol. 44(1), pages 973-977.
    11. Li, Kewen & Pan, Baozhi & Horne, Roland, 2015. "Evaluating fractures in rocks from geothermal reservoirs using resistivity at different frequencies," Energy, Elsevier, vol. 93(P1), pages 1230-1238.
    12. Sheikholeslami, Mohsen & Ganji, Davood Domiri, 2014. "Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer," Energy, Elsevier, vol. 75(C), pages 400-410.
    13. Firoozzadeh, Mohammad & Shiravi, Amir Hossein & Lotfi, Marzieh & Aidarova, Saule & Sharipova, Altynay, 2021. "Optimum concentration of carbon black aqueous nanofluid as coolant of photovoltaic modules: A case study," Energy, Elsevier, vol. 225(C).
    14. Zhang, Bo & Guo, Tiankui & Qu, Zhanqing & Wang, Jiwei & Chen, Ming & Liu, Xiaoqiang, 2023. "Numerical simulation of fracture propagation and production performance in a fractured geothermal reservoir using a 2D FEM-based THMD coupling model," Energy, Elsevier, vol. 273(C).
    15. Sheikholeslami, M. & Gorji-Bandpy, M. & Ganji, D.D., 2013. "Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM," Energy, Elsevier, vol. 60(C), pages 501-510.
    16. Bahiraei, Mehdi & Hangi, Morteza, 2014. "Numerical simulation of nanofluid application in a C-shaped chaotic channel: A potential approach for energy efficiency improvement," Energy, Elsevier, vol. 74(C), pages 863-870.
    17. He, Renhui & Rong, Guan & Tan, Jie & Phoon, Kok-Kwang & Quan, Junsong, 2022. "Numerical evaluation of heat extraction performance in enhanced geothermal system considering rough-walled fractures," Renewable Energy, Elsevier, vol. 188(C), pages 524-544.
    18. 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.
    19. Chen, Tairu & Liu, Gang & Liao, Shengming, 2019. "Impacts of boundary conditions on reservoir numerical simulation and performance prediction of enhanced geothermal systems," Energy, Elsevier, vol. 181(C), pages 202-213.
    20. Anand, Vishal, 2015. "Entropy generation analysis of laminar flow of a nanofluid in a circular tube immersed in an isothermal external fluid," Energy, Elsevier, vol. 93(P1), pages 154-164.

    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:82:y:2015:i:c:p:922-938. 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.