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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

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  • Anand, Vishal

Abstract

This study deals with heat transfer and entropy generation analysis of pressure driven flow of a power law fluid in a microchannel. The microchannel is subject to uniform heat flux boundary condition at the walls. The slip at the walls has been modeled through three different slip laws, namely: non-linear Navier slip law, Hatzikiriakos slip law and asymptotic slip law. All the governing equations have been solved analytically. The effect of various friction coefficients of the slip laws on velocity distribution, temperature distribution, Nusselt number, entropy generation rate and Bejan number has been shown. The reason and the justification behind the trends observed have been discussed in detail. A comparison has been made between Hatzikiriakos slip law and asymptotic slip law with regards to Nusselt number and average entropy generation rate. It is observed that, for the same slip coefficients, the value of Nusselt number as predicted by Hatzikiriakos slip law is higher and average entropy generation rate is lower than the corresponding values predicted by asymptotic slip law; and this difference increases with increase in the value of slip coefficients.

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  • 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.
    • Handle: RePEc:eee:energy:v:76:y:2014:i:c:p:716-732
    DOI: 10.1016/j.energy.2014.08.070
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    References listed on IDEAS

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    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. Safari, Mehdi & Sheikhi, M. Reza H., 2014. "Large eddy simulation-based analysis of entropy generation in a turbulent nonpremixed flame," Energy, Elsevier, vol. 78(C), pages 451-457.
    3. Akbar, Noreen Sher, 2015. "Entropy generation and energy conversion rate for the peristaltic flow in a tube with magnetic field," Energy, Elsevier, vol. 82(C), pages 23-30.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

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