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Entropy generation in purely electroosmotic flows of non-Newtonian fluids in a microchannel

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  • Escandón, J.
  • Bautista, O.
  • Méndez, F.

Abstract

In this work, the entropy generation rate in a purely electroosmotic flow of a non-Newtonian fluid in a parallel flat plate microchannel is studied. The power-law model is used for the rheological constitutive equation of the fluid under consideration. The entropy generation rate is obtained as an asymptotic solution to the conjugate heat transfer problem between the fluid and the solid walls of the microchannel. The influence of the following dimensionless parameters on the entropy generation rate is predicted: the flow behavior index, n, the electrokinetic parameter, κ¯, the well-known Péclet number, Pe, the normalized power generation term, Λ, the dimensionless temperature difference, Ω, the ratio of the microchannel thickness to the microchannel length, β, the ratio of the microchannel wall thickness to the microchannel wall length, ε, and a conjugate heat transfer parameter, α¯, which relates the competition between the conductive heat in the microchannel wall and the conductive heat in the laminar flow. This set of parameters directly determines the thermal performance of the microchannel model. We predict that the entropy generation is dominated by Joule heating.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:55:y:2013:i:c:p:486-496
    DOI: 10.1016/j.energy.2013.04.030
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    References listed on IDEAS

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    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. 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.
    3. Ibáñez, Guillermo & Cuevas, Sergio, 2010. "Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel," Energy, Elsevier, vol. 35(10), pages 4149-4155.
    4. Mahmud, Shohel & Fraser, Roydon Andrew, 2006. "Second law analysis of forced convection in a circular duct for non-Newtonian fluids," Energy, Elsevier, vol. 31(12), pages 2226-2244.
    5. Abbassi, H., 2007. "Entropy generation analysis in a uniformly heated microchannel heat sink," Energy, Elsevier, vol. 32(10), pages 1932-1947.
    6. Guo, Jiangfeng & Xu, Mingtian & Cai, Jun & Huai, Xiulan, 2011. "Viscous dissipation effect on entropy generation in curved square microchannels," Energy, Elsevier, vol. 36(8), pages 5416-5423.
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    Cited by:

    1. Saha, Sujit & Kundu, Balaram, 2023. "Multi-objective optimization of electrokinetic energy conversion efficiency and entropy generation for streaming potential driven electromagnetohydrodynamic flow of couple stress Casson fluid in micro," Energy, Elsevier, vol. 284(C).
    2. Ranjit, N.K. & Shit, G.C., 2017. "Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment," Energy, Elsevier, vol. 128(C), pages 649-660.
    3. 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.
    4. 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.
    5. Arjmandi, H.R. & Amani, E., 2015. "A numerical investigation of the entropy generation in and thermodynamic optimization of a combustion chamber," Energy, Elsevier, vol. 81(C), pages 706-718.

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