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Thermodynamic optimization of laminar viscous flow under convective heat-transfer through an isothermal walled duct

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  • Khaliq, Abdul

Abstract

The main objective of this paper is to explore the existence of thermodynamic irreversibility due to laminar fluid flow with heat transfer under fully-developed conditions through a duct of circular cross-section. The evaluation of thermodynamic trade-offs caused by simultaneous heat transfer under a finite temperature-difference and fluid friction has been examined in terms of dimensionless entropy generation as a performance criterion. The temperature dependence of viscosity is taken into consideration in the analysis. Expressions involving relevant variables for entropy generation and pumping power for constant viscosity and temperature-dependent viscosity have been derived. The dimensionless entropy-generation defined on the basis of total heat-transfer rate attains a minimum along the duct length and the ratio of pumping power to total heat-transfer rate increases considerably along the duct length when the fluid is heated. The dimensionless entropy-generation increases as the dimensionless ratio of inlet wall to fluid temperatures ([alpha]) increases, but the pumping power ratio decreases as [alpha] increases. The results correspond to the constant viscosity assumption and temperature-dependent viscosity cases are compared and it was found that the constant viscosity assumption may yield a significant amount of deviation in entropy-generation and pumping power from those for the temperature-dependent viscosity case, especially for more viscous fluids.

Suggested Citation

  • Khaliq, Abdul, 2004. "Thermodynamic optimization of laminar viscous flow under convective heat-transfer through an isothermal walled duct," Applied Energy, Elsevier, vol. 78(3), pages 289-304, July.
  • Handle: RePEc:eee:appene:v:78:y:2004:i:3:p:289-304
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    References listed on IDEAS

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    1. Bejan, Adrian, 1980. "Second law analysis in heat transfer," Energy, Elsevier, vol. 5(8), pages 720-732.
    2. Oullette, William R. & Bejan, Adrian, 1980. "Conservation of available work (exergy) by using promoters of swirl flow in forced convection heat transfer," Energy, Elsevier, vol. 5(7), pages 587-596.
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    Cited by:

    1. Amani, E. & Nobari, M.R.H., 2011. "A numerical investigation of entropy generation in the entrance region of curved pipes at constant wall temperature," Energy, Elsevier, vol. 36(8), pages 4909-4918.

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