CONVECTIVE HEAT TRANSFER AND FULLY DEVELOPED FLOW FOR CIRCULAR TUBE NEWTONIAN AND NON-NEWTONIAN FLUIDS CONDITION

Abstract

We represent a conceptual scrutiny for completely organized convective heat transfer ring within the circular pipeline with power law liquids by means of realizing that the heat diffusivity has been a temperature gradient. The investigative resolution is availed and the behaviour of the heat transfer is inspected under a persistent thermic flux frontier condition. It has been demonstrated that the Nu stubbornly relies upon the power-law index n value. The Nu (Nusselt number) recognizably gets reduced in a range of n from 0 to 0.1. Nonetheless, for n greater than 0.5, there is a monotonic decrement in the Nu with the incremental n, and for n greater than 20, values of the Nu have approached a constant.

Keywords

• Non-Newtonian Fluids
• Convective Heat Transfer
• NEWTONIAN AND FLUIDS

References

1. [1] Acrivos A., S., M.J. and Petersen, Momentum and Heat Transfer in Laminar Boundary Layer Flows of Non-Newtonian Fluids Past External Surfaces. AIChE Journal, 1960. 6: p. 312-317.
2. [2] Barletta, A., E.J.I.j.o.h. Zanchini, and m. transfer, Forced convection in the thermal entrance region of a circular duct with slug flow and viscous dissipation. 1997. 40(5): p. 1181-1190.
3. [3] Dang, V.-D.J.J.o.h.t., Heat transfer of power law fluid at low peclet number flow. 1983. 105(3): p. 542-549.
4. [4] Eckert, E.R.G. and R.M. Drake Jr, Analysis of heat and mass transfer. 1987.
5. [5] Howell, T.G., D.R. Jeng, and K.J. De Witt, Momentum and heat transfer on a continuous moving surface in a power law fluid. International Journal of Heat and Mass Transfer, 1997. 40(8): p. 1853-1861.
6. [6] Rohsenow, W.M., J.P. Hartnett, and Y.I. Cho, Handbook of heat transfer. Vol. 3. 1998: McGraw-Hill New York.
7. [7] Wang, T.-Y.J.I.c.i.h. and m. transfer, Mixed convection from a vertical plate to non-Newtonian fluids with uniform surface heat flux. 1995. 22(3): p. 369-380.
8. [8] Zanchini, E.J.I.j.o.h. and m. transfer, Effect of viscous dissipation on the asymptotic behaviour of laminar forced convection in circular tubes. 1996. 40(1): p. 169-178.

9. [9] Hady, F.J.A.m. and computation, Mixed convection boundary-layer flow of non-Newtonian fluids on a horizontal plate. 1995. 68(2-3): p. 105-112.
10. [10] Hassanien, I., et al., Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet. 1998. 28(9): p. 105-116.
11. [11]. Kumari, M., et al., Free-convection boundary-layer flow of a non-Newtonian fluid along a vertical wavy surface. 1997. 18(6): p. 625-631.
12. [12] Wang, Z.-G., et al., Enzyme immobilization on electrospun polymer nanofibers: an overview. 2009. 56(4): p. 189-195.
13. [13] Aghakhani, S., et al., Numerical investigation of heat transfer in a power-law non-Newtonian fluid in a C-Shaped cavity with magnetic field effect using finite difference lattice Boltzmann method. 2018. 176: p. 51-67.
14. [14] Akbari, O.A., et al., The effect of velocity and dimension of solid nanoparticles on heat transfer in non-Newtonian nanofluid. 2017. 86: p. 68-75.
15. [15] Brinkman, H.J.A.S.R., Heat effects in capillary flow I. 1951. 2(1): p. 120.
16. [16] Aydin, O.J.E.C. and management, Effects of viscous dissipation on the heat transfer in forced pipe flow. Part 1: both hydrodynamically and thermally fully developed flow. 2005. 46(5): p. 757-769.
17. [17] Bergman, T.L., et al., Fundamentals of heat and mass transfer. 2011: John Wiley & Sons.
18. [18] Lin, T., K. Hawks, and W.J.W.-u.s. Leidenfrost, Analysis of viscous dissipation effect on thermal entrance heat transfer in laminar pipe flows with convective boundary conditions. 1983. 17(2): p. 97-105.
19. [19] Liou, C.-T. and F.-S.J.N.h.t. Wang, Solutions to the extended Graetz problem for a power-model fluid with viscous dissipation and different entrance boundary conditions. 1990. 17(1): p. 91-108.
20. [20] Zheng, L.-C., X.-X. Zhang, and L.-X. Ma, Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube. Chinese Physics Letters, 2008. 25(1): p. 195.
21. [21] Wang, C. and I.J.J.o.N.-N.F.M. Pop, Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method. 2006. 138(2-3): p. 161-172.