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
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
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
R. L. Batra M. Eissa (1994) ArticleTitleHelical flow of a Sutterby model fluid Polym. Plast. Technol. Engng. 33 489–501
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
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
H. Herwig G. Wicken (1986) ArticleTitleThe effect of variable properties on laminar boundary-layer flow Wärme-u. Stoffübertr 20 47–57
S. Kakac R. K. Shah W. Aung (1987) Handbook of single phase convective heat transfer Wiley New York
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
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
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
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
F. P. Incropera D. P. DeWitt (1996) Introduction to heat transfer EditionNumber3 Wiley New York
W. E. Langlois (1964) Slow viscous flow Macmillan New York 105–107
R. B. Bird R. C. Armstrong O. Hassager (1987) Dynamics of polymeric liquids Wiley NewYork 184–187
R. K. Shah A. L. London (1978) Laminar flow forced convection in ducts. Adv. Heat Transfer, Suppl. 1 Academic Press New York
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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