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Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel

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  • Ibáñez, Guillermo
  • Cuevas, Sergio

Abstract

The dissipative processes that arise in a microchannel flow subjected to electromagnetic interactions, as occurs in a MHD (magnetohydrodynamic) micropump, are analyzed. The entropy generation rate is used as a tool for the assessment of the intrinsic irreversibilities present in the microchannel owing to viscous friction, heat flow and electric conduction. The flow in a parallel plate microchannel produced by a Lorentz force created by a transverse magnetic field and an injected electric current is considered assuming a thermally fully developed flow and conducting walls of finite thickness. The conjugate heat transfer problem in the fluid and solid walls is solved analytically using thermal boundary conditions of the third kind at the outer surfaces of the walls and continuity of temperature and heat flux across the fluid-wall interfaces. Velocity, temperature and current density fields in the fluid and walls are used to calculate the global entropy generation rate. Conditions under which this quantity is minimized are determined for specific values of the geometrical and physical parameters of the system. The Nusselt number is also calculated and explored for different conditions. Results can be used to determine optimized conditions that lead to a minimum dissipation consistent with the physical constraints demanded by the microdevice.

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  • Ibáñez, Guillermo & Cuevas, Sergio, 2010. "Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel," Energy, Elsevier, vol. 35(10), pages 4149-4155.
    • Handle: RePEc:eee:energy:v:35:y:2010:i:10:p:4149-4155
    DOI: 10.1016/j.energy.2010.06.035
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    References listed on IDEAS

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    1. 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.
    2. 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.
    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. Shamshiri, Mehdi & Ashrafizaadeh, Mahmud & Shirani, Ebrahim, 2012. "Advantages and disadvantages associated with introducing an extra rarefied gas layer into a rotating microsystem filled with a liquid lubricant: First and second law analyses," Energy, Elsevier, vol. 45(1), pages 716-728.
    5. 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.
    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. 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.
    8. Rashidi, M.M. & Ali, M. & Freidoonimehr, N. & Nazari, F., 2013. "Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm," Energy, Elsevier, vol. 55(C), pages 497-510.
    9. Asinari, Pietro & Chiavazzo, Eliodoro, 2014. "The notion of energy through multiple scales: From a molecular level to fluid flows and beyond," Energy, Elsevier, vol. 68(C), pages 870-876.
    10. Gaikwad, Harshad Sanjay & Basu, Dipankar Narayan & Mondal, Pranab Kumar, 2017. "Non-linear drag induced irreversibility minimization in a viscous dissipative flow through a micro-porous channel," Energy, Elsevier, vol. 119(C), pages 588-600.
    11. 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.
    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. 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.
    14. Mondal, Pranab Kumar & Dholey, Shibdas, 2015. "Effect of conjugate heat transfer on the irreversibility generation rate in a combined Couette–Poiseuille flow between asymmetrically heated parallel plates: The entropy minimization analysis," Energy, Elsevier, vol. 83(C), pages 55-64.

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