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Viscous-dissipation effects on the heat transfer in a Poiseuille flow

Author

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  • AydIn, Orhan
  • AvcI, Mete

Abstract

In this study, laminar heat-convection in a Poiseuille flow of a Newtonian fluid with constant properties is analyzed by taking the viscous dissipation into account. At first, both hydrodynamically and thermally fully-developed flow case is investigated. Then, consideration is given to thermally-developed laminar forced-convection. The axial heat-conduction in the fluid is neglected. Two different thermal boundary-conditions are considered: the constant heat-flux and the constant wall-temperature. Both the hot-wall and the cold-wall cases are considered. In the literature, the viscous-dissipation effect is commonly represented by the Brinkman number. Several different definitions of the Brinkman number arise depending on the thermal boundary conditions. Either for the thermally fully-developed case or the thermally-developing case (the Graetz problem), temperature distributions and the Nusselt numbers are analytically determined as functions of the Brinkman number.

Suggested Citation

  • AydIn, Orhan & AvcI, Mete, 2006. "Viscous-dissipation effects on the heat transfer in a Poiseuille flow," Applied Energy, Elsevier, vol. 83(5), pages 495-512, May.
    • Handle: RePEc:eee:appene:v:83:y:2006:i:5:p:495-512
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    Cited by:

    1. Hooman, K., 2008. "Comments on "Viscous-dissipation effects on the heat transfer in a Poiseuille flow" by O. Aydin and M. Avci," Applied Energy, Elsevier, vol. 85(1), pages 70-72, January.
    2. Avci, Mete & Aydin, Orhan, 2009. "Reply to comments on our below referenced article by K. Hooman "Viscous-dissipation effects on the heat transfer in a Poiseuille flow"," Applied Energy, Elsevier, vol. 86(1), pages 122-123, January.

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