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Heat transfer and entropy generation analyses associated with mixed electrokinetically induced and pressure-driven power-law microflows

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  • Shamshiri, Mehdi
  • Khazaeli, Reza
  • Ashrafizaadeh, Mahmud
  • Mortazavi, Saeed

Abstract

In the present study, the first and second law analyses associated with combined pressure-driven and electroosmotic flow of power-law liquids through a uniform microannulus are performed numerically. In the first law analysis, the Poisson–Boltzmann and incompressible Navier–Stokes–Fourier (NSF) equations in the cylindrical polar coordinate reference frame as the governing equations are numerically solved using a finite difference method. The obtained velocity and temperature distributions are then employed to evaluate the associated Nusselt number, while simultaneous effects of viscous dissipation and Joule heating are taken into consideration. In the second law analysis, the relevant general expression for the entropy generation process is derived and the contributions of thermal diffusion, fluid friction and Joule heating irreversibility to the total entropy generation in the micro domain are examined. Finally, the variations of the aforementioned major variables with influential parameters such as the aspect ratio of the annuli, flow behavior index, dimensionless Debye–Hückel parameter, forcing ratio, dimensionless viscous heating parameter, and dimensionless Joule heating parameter are investigated.

Suggested Citation

  • Shamshiri, Mehdi & Khazaeli, Reza & Ashrafizaadeh, Mahmud & Mortazavi, Saeed, 2012. "Heat transfer and entropy generation analyses associated with mixed electrokinetically induced and pressure-driven power-law microflows," Energy, Elsevier, vol. 42(1), pages 157-169.
    • Handle: RePEc:eee:energy:v:42:y:2012:i:1:p:157-169
    DOI: 10.1016/j.energy.2012.03.072
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    References listed on IDEAS

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    1. Shamshiri, Mehdi & Ashrafizaadeh, Mahmud & Shirani, Ebrahim, 2012. "Effects of rarefaction, viscous dissipation and rotation mode on the first and second law analyses of rarefied gaseous slip flows confined between a rotating shaft and its concentric housing," Energy, Elsevier, vol. 37(1), pages 359-370.
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    Cited by:

    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. López de Haro, M. & Cuevas, S. & Beltrán, A., 2014. "Heat transfer and entropy generation in the parallel plate flow of a power-law fluid with asymmetric convective cooling," Energy, Elsevier, vol. 66(C), pages 750-756.
    3. Escandón, J. & Bautista, O. & Méndez, F., 2013. "Entropy generation in purely electroosmotic flows of non-Newtonian fluids in a microchannel," Energy, Elsevier, vol. 55(C), pages 486-496.
    4. Matin, Meisam Habibi & Khan, Waqar Ahmed, 2013. "Entropy generation analysis of heat and mass transfer in mixed electrokinetically and pressure driven flow through a slit microchannel," Energy, Elsevier, vol. 56(C), pages 207-217.
    5. Ting, Tiew Wei & Hung, Yew Mun & Guo, Ningqun, 2014. "Entropy generation of nanofluid flow with streamwise conduction in microchannels," Energy, Elsevier, vol. 64(C), pages 979-990.
    6. Xie, Zhi-Yong & Jian, Yong-Jun, 2017. "Entropy generation of two-layer magnetohydrodynamic electroosmotic flow through microparallel channels," Energy, Elsevier, vol. 139(C), pages 1080-1093.

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