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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

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  • Mondal, Pranab Kumar
  • Dholey, Shibdas

Abstract

We investigate the entropy transport dynamics of a Newtonian fluid in a parallel-plate channel considering the effect of conjugate heat transfer into the analysis. We consider that the flow to be actuated by the combined influences of externally applied pressure gradient and movement of the upper plate of the channel. Using an analytical scheme associated with the thermal boundary conditions of third kind at the outer boundaries of the channel, we bring out the alteration in the underlying thermal transport characteristics of heat as attributable to the nonlinear interactions between flow dynamics and viscous heating. Our analysis demonstrates the influential role of different performance index parameters viz., the geometric parameters, material properties, flow conditions on the irreversibility generation rate of the system. In particular, we unveil an optimum value of wall thickness and wall to fluid conductivity ratio that leads to minimization of the entropy generation rate in the system owing to intricate interplay between the heat flow dynamics and viscous heating. Our results may have far ranging consequences in the design of various cooling and heat removal devices and systems, which are often used in different engineering applications.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:83:y:2015:i:c:p:55-64
    DOI: 10.1016/j.energy.2015.01.078
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    References listed on IDEAS

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    1. AydIn, Orhan & AvcI, Mete, 2006. "Laminar forced convection with viscous dissipation in a Couette-Poiseuille flow between parallel plates," Applied Energy, Elsevier, vol. 83(8), pages 856-867, August.
    2. Bejan, Adrian, 1980. "Second law analysis in heat transfer," Energy, Elsevier, vol. 5(8), pages 720-732.
    3. 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.
    4. Ibáñez, Guillermo & Cuevas, Sergio, 2010. "Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel," Energy, Elsevier, vol. 35(10), pages 4149-4155.
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    Cited by:

    1. 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.

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