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Thermal analysis of a flow of immiscible couple stress fluids in a channel

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Abstract

An analytical study of the entropy generation rate and heat transfer in a flow of immiscible couple stress fluids between two horizontal parallel plates under a constant pressure gradient is performed. Both plates are kept at different and constant temperatures higher than that of the fluid. The Stokes couple stress flow model is employed. The classical no-slip condition is prescribed at the plates, and continuity of the velocity, rotation, couple stress, shear stress, temperature, and heat flux is imposed at the interfaces. The velocity and temperature distributions are found analytically, and they are used to compute the entropy generation number and Bejan number. The effects of the couple stress parameter and Reynolds number on the velocity, temperature, entropy generation number, and Bejan number are investigated. It is observed that the friction near the plates in couple stress fluids decreases as the couple stress increases.

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References

  1. A. Bejan, “A Study of Entropy Generation in Fundamental Convective Heat Transfer” J. Heat Transfer 101, 718–725 (1979).

    Article  Google Scholar 

  2. A. Bejan, “Second Law Analysis in Heat Transfer” Energy 5, 721–732 (1980).

    Article  ADS  Google Scholar 

  3. P. Chaturani and R. P. Samy, “A Study of Non-Newtonian Aspects of Blood Flow through Stenosed Arteries and Its Applications in Arterial Diseases” Biorheology 22, 521–531 (1985).

    Google Scholar 

  4. R. B. Bird, W. E. Stewart, and E. N. Lightfoot Transport Phenomena (John Wiley and Sons, New York, 1960).

    Google Scholar 

  5. V. V. Voinov, “Exact Solutions of the Problem of the Motion of the Interface between Immiscible Fluids in a Porous Medium” J. Appl. Mech. Tech. Phys. 32 (1), 64–67 (1991).

    Article  ADS  Google Scholar 

  6. S. I. Bakhtiyarov and D. A. Siginer, “A Note on the Laminar Core-Annular Flow of Two Immiscible Fluids in a Horizontal Tube,” in Proc. of the Int. Symp. on Liquid–Liquid Two Phase Flow and Transport Phenomena (Begell House, Santa Barbara, 1997), pp. 107–111.

    Google Scholar 

  7. A. J. Chamkha, “Flow of Two Immiscible Fluids in Porous and Nonporous Channels” J. Fluids Eng. 122, 117–124 (2000).

    Article  Google Scholar 

  8. F. Kamisli and H. F. Oztop, “Second Law Analysis of the 2D Laminar Flow of Two-Immiscible, Incompressible Viscous Fluids in a Channel” Heat Mass Transfer 44, 751–761 (2008).

    Article  ADS  Google Scholar 

  9. V. K. Stokes, “Couple Stresses in Fluid” Phys. Fluids 9, 1709–1715 (1966).

    Article  ADS  Google Scholar 

  10. V. K. Stokes, Theories of Fluids with Microstructures (Springer-Verlag, Berlin–Heidelberg–New York, 1984).

    Book  Google Scholar 

  11. V. K. Stokes, “Effects of Couple Stresses in Fluids on Hydromagnetic Channel Flows” Phys. Fluids 11, 1131–1133 (1968).

    Article  ADS  Google Scholar 

  12. V. K. Stokes, “On Some Effects of Couple Stresses in Fluids on Heat Transfer” J. Heat Transfer 91, 182–184 (1969).

    Article  Google Scholar 

  13. S. Paoletti, F. Rispoli, and E. Sciubba, “Calculation Exergetic Losses in Compact Heat Exchanger Passages” Proc. ASME, Adv. Energy Systems Division 10, 21–29 (1989).

    Google Scholar 

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Correspondence to J. Srinivas.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 6, pp. 42–52, November–December, 2016.

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Srinivas, J., Ramana Murthy, J.V. Thermal analysis of a flow of immiscible couple stress fluids in a channel. J Appl Mech Tech Phy 57, 997–1005 (2016). https://doi.org/10.1134/S0021894416060067

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  • DOI: https://doi.org/10.1134/S0021894416060067

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