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The effect of variable properties on the helical flow and heat transfer of power law fluids

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Summary

Laminar flow and forced convection heat transfer of the time independent non–Newtonian fluid obeying power law stress-strain relation have been investigated numerically in the annular space between two coaxial rotating cylinders. The problem is considered when the inner cylinder rotates about the common axis with constant angular velocity and the outer cylinder is at rest. The viscosity of the fluid and thermal conductivity are assumed to vary with the temperature. The outer surface of the annulus is considered to be adiabatic, while the inner surface has a uniform temperature. The tangential and axial momentum equations and energy equation have been solved iteratively by using a finite difference method. For the steady fully developed flow, the velocity distributions, temperature profiles, the volumetric flow rate, torque and the average Nusselt number have been obtained for different values of the radius ratio and model parameters.

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References

  • A. H. P. Skelland (1965) Non–Newtonian flow and heat transfer McGraw-Hill New York

    Google Scholar 

  • S. Gh. Etemad A. S. Mujumdar B. Huang (1994) ArticleTitleViscous dissipation effects in the entrance region heat transfer for a power law fluid flowing between parallel plates Int. J. Heat Fluid Flow 15 122 Occurrence Handle10.1016/0142-727X(94)90066-3

    Article  Google Scholar 

  • P. R. N. Childs C. A. Long (1996) ArticleTitleA review of forced convective heat transfer in stationary and rotating annuli J. Mech. Engng. Sci. 210 123–134

    Google Scholar 

  • R. L. Batra M. Eissa (1994) ArticleTitleHelical flow of a Sutterby model fluid Polym. Plast. Technol. Engng. 33 489–501

    Google Scholar 

  • M. E. Sayed-Ahmed (1999) ArticleTitleForced convection heat transfer of a Robertson-Stiff fluid between two rotating coaxial cylinders Int. Comm. Heat Mass Transfer 26 695–704

    Google Scholar 

  • Haiqiao, Z., Haiqing, C.: The helical flow of the power law fluid in an annular space. In: Proc. Int. Conf. Nonlinear Mech., Oct. 28–31, Shanghai, China, pp. 834–839 (1985).

  • M. Dostal R. Zitny J. Sestak (1993) ArticleTitleHelical flow of power law fluids AIChE J. 39 189–192

    Google Scholar 

  • H. Herwig G. Wicken (1986) ArticleTitleThe effect of variable properties on laminar boundary-layer flow Wärme-u. Stoffübertr 20 47–57

    Google Scholar 

  • S. Kakac R. K. Shah W. Aung (1987) Handbook of single phase convective heat transfer Wiley New York

    Google Scholar 

  • M. E. Sayed-Ahmed H. A. Attia (2000) ArticleTitleMHD flow and heat transfer in a rectangular duct with temperature dependent viscosity and Hall effect Int. Comm. Heat Mass Transfer 28 1177–1187

    Google Scholar 

  • M. E. Sayed-Ahmed A. S. El-Yazal (2003) ArticleTitleLaminar fully developed flow and heat transfer for Robertson-Stiff fluids in rectangular ducts with temperature dependent viscosity Int. Comm. Heat Mass Transfer 30 851–860

    Google Scholar 

  • H. A. Attia (2001) ArticleTitleInfluence of temperature dependent viscosity on the MHD-channel flow of dusty fluid with heat transfer Acta Mech. 151 89–101 Occurrence Handle10.1007/BF01272527 Occurrence Handle0993.76088

    Article  MATH  Google Scholar 

  • H. A. Attia A. L. Aboul-Hassan (2003) ArticleTitleThe effect of variable properties on the unsteady Hartmann flow with heat transfer considering the Hall effect Appl. Math. Model 27 551–563

    Google Scholar 

  • F. P. Incropera D. P. DeWitt (1996) Introduction to heat transfer EditionNumber3 Wiley New York

    Google Scholar 

  • W. E. Langlois (1964) Slow viscous flow Macmillan New York 105–107

    Google Scholar 

  • R. B. Bird R. C. Armstrong O. Hassager (1987) Dynamics of polymeric liquids Wiley NewYork 184–187

    Google Scholar 

  • R. K. Shah A. L. London (1978) Laminar flow forced convection in ducts. Adv. Heat Transfer, Suppl. 1 Academic Press New York

    Google Scholar 

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Sayed-Ahmed, M.E. The effect of variable properties on the helical flow and heat transfer of power law fluids. Acta Mechanica 181, 185–197 (2006). https://doi.org/10.1007/s00707-005-0275-6

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  • DOI: https://doi.org/10.1007/s00707-005-0275-6

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