Abstract
Chapter 5 treats turbulent forced and mixed convection heat transfer in internal flows. It is well-known that the heat transfer rate can be reasonably well estimated without solving the energy equation using momentum/heat transfer analogies. Expressions for the local Stanton numbers are derived for external flow (vertical pipes) and internal flow (circular pipes) using the analogy. An approximate theoretical analysis of the effect of buoyancy on the heat transfer to drag reducing fluids for upward flow in vertical pipes under turbulent conditions is also considered in this chapter. A criterion is suggested for controlling the reduction in heat transfer due to natural convection to less than 5%.
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References
Astarita, G., & Marrucci, G. (1966). Heat transfer in viscoelastic liquids in turbulent flow. In Proc. 36th Int. Cong. Ind. Chem., Brussels.
Bewersdorff, H. W. (1984). Effect of injected polymer thread on turbulent properties of pipe flow. In R. H. J. Sellin & R. T. Moses (Eds.), Proc. third intl. conf. on drag reduction (pp. B4.1–B4.8).
Cho, Y. I., & Hartnett, J. P. (1980). Analogy for viscoelastic fluids – momentum, heat and mass transfer in turbulent pipe flow. Letters in Heat and Mass Transfer, 7, 339–346.
De Young, S. H., & Scheele, G. F. (1970). Natural convection distorted non-newtonian flow in a vertical pipe. AICHE Journal, 16(5), 712–717.
Diamant, Y., & Poreh, M. (1976). Heat transfer in flows with drag reduction. Advances in Heat Transfer, 12, 77–113.
Dudukovic, A. (1988). Encyclopedia of fluid mechanics, vol. 7, ch. 12. In N. P. Cheremisinoff (Ed.), Analogies between momentum, heat and mass transfer in dilute polymer solutions (pp. 341–357). Houston, TX: Gulf Publishing Co.
Friend, W. L., & Metzner, A. B. (1958). Turbulent heat transfer inside tubes and the analogy among heat, mass, and momentum transfer. AICHE Journal, 4(4), 393–402.
Gasljevic, K., Aguilar, G., & Matthys, E. F. (2000). Buoyancy effects on heat transfer and temperature profiles in horizontal pipe flow of drag-reducing fluids. International Journal of Heat and Mass Transfer, 43(23), 4267–4274.
Gupta, M. K., Metzner, A. B., & Hartnett, J. P. (1967). Turbulent heat transfer characteristics of viscoelastic fluids. International Journal of Heat and Mass Transfer, 10, 1121–1224.
Jayatillaka, C. I. (1969). The influence of prandtl number and surface roughness on the resistance of the laminar sublayer to momentum and heat transfer. In U. Grigull & E. Hahne (Eds.), Progress in heat and mass transfer (pp. 193–329). New York: Pergamon Press.
Kale, D. D. (1977). An analysis of heat transfer to turbulent flow of drag reducing fluids. International Journal of Heat and Mass Transfer, 20(10), 1077–1081.
Kawase, Y., & Ulbrecht, J. (1982). Turbulent heat and mass transfer to turbulent flow of drag reducing fluids. Chemical Engineering Science, 37(7), 1039–1046.
Marner, W. J., & McMillan, H. K. (1972). Combined free and forced laminar non-newtonian convection in a vertical tube with constant wall temperature. Chemical Engineering Science, 27(3), 473–488.
Marner, W. J., & Rehfuss, R. A. (1972). Buoyancy effects on fully developed laminar non-newtonian flow in a vertical tube. Chemical Engineering Journal, 3, 294–300.
Metzner, A. B., & Friend, P. S. (1959). Heat transfer to turbulent non-newtonian fluids. Industrial and Engineering Chemistry, 51, 879–882.
Metzner, A. B., & Gluck, D. F. (1960). Heat transfer to non-newtonian fluids under laminar flow conditions. Chemical Engineering Science, 12, 185–190.
Mizushina, T., Usui, H., & Yamamoto, T. (1975). Turbulent heat transfer to viscoelastic fluids flow in pipe. Letters in Heat Mass Transfer, 2(1), 19–26.
Nakayama, A., Koyama, H., & Ohsawa, S. (1984). Momentum/heat transfer analogy for turbulent boundary layers in mild pressure gradients. AIAA Journal, 22, 841–844.
Oliver, D. R., & Jenson, V. G. (1964). Heat transfer to pseudoplastic fluids in laminar flow in horizontal tubes. Chemical Engineering Science, 19(2), 115–129.
Patterson, G. K., Chosnek, J., & Zakin, J. L. (1977). Turbulence structure in drag reducing polymer solutions. Physics of Fluids, 20(10), S89–S99.
Poreh, M., & Paz, U. (1968). Turbulent heat transfer to dilute polymer solutions. International Journal of Heat and Mass Transfer, 11(5), 805–818.
Scheele, G. F., & Greene, H. L. (1971). Non-newtonian flow stability in a heated pipe at low reynolds numbers. Industrial and Engineering Chemistry Fundamentals, 10(1), 102–113.
Seyer, F. A., & Metzner, A. B. (1969). Turbulence phenomena in drag reducing systems. AICHE Journal, 15(3), 426–434.
Shenoy, A. V. (1980a). A correlating equation for combined laminar forced and free convection heat transfer to power-law fluids. AICHE Journal, 26(3), 505–507.
Shenoy, A. V. (1980b). Combined laminar forced and free convection heat transfer to viscoelastic fluids. AICHE Journal, 26(4), 683–685.
Shenoy, A. V. (1984a). Natural convection effects o heat transfer to power-law fluids flowing under turbulent conditions in vertical pipes. International Communications in Heat Mass Transfer, 11(5), 467–476.
Shenoy, A. V. (1984b). Laminar mixed convection heat transfer from an isothermal inclined flat plate to power-law fluids. AICHE Journal, 30(5), 824–826.
Shenoy, A. V. (1986). Turbulent flow of mildly elastic fluids through rotating straight circular tubes. Journal of Applied Sciences Research, 43(1), 39–54.
Shenoy, A. V. (1987). Effects of bouyancy on heat transfer during turbulent flow of drag reducing fluids in vertical pipes. Warme- und Stoffubertragung, 21(1), 15–18.
Shenoy, A. V. (1988). Encyclopedia of fluid mechanics, vol. 7, ch. 16. In N. P. Cheremisinoff (Ed.), Turbulent flow velocity profiles in drag-reducing fluids (pp. 479–503). Houston, TX: Gulf Publishing Co.
Shenoy, A. V. (1992). Momentum/heat transfer analogy for drag reducing fluids during turbulent boundary layer flow with small pressure gradients. Canadian Journal of Chemical Engineering, 70(2), 375–380.
Shenoy, A. V., & Mashelkar, R. A. (1983). Engineering estimate of hydrodynamic entrance lengths in non-newtonian turbulent flow. Industrial and Engineering Chemistry Process Design and Development, 22(1), 165–168.
Shenoy, A. V., & Shintre, S. N. (1986). Developing and fully developed turbulent flow of drag reducing fluids in an annular duct. The Canadian Journal of Chemical Engineering, 64(2), 190–195.
Shenoy, A. V., & Talathi, M. M. (1985). Turbulent pipe flow velocity profile model for drag-reducing fluids. AICHE Journal, 31(3), 520–522.
Shenoy, A. V., Ranade, V. R., & Ulbrecht, J. J. (1980). Turbulent flow of mildly viscoelastic liquids in curved tubes. Chemical Engineering Communications, 5(5–6), 269–286.
Skelland, A. H. (1967). Non-newtonian flow and heat transfer. New York: Wiley.
Smith, K. A., Keuroghlian, P. S., Virk, P. S., & Merrill, E. W. (1969). Heat transfer to drag reducing polymer solurions. AICHE Journal, 15(2), 294–297.
Thielen, W. (1981). Turbulenzstruktur in der rohrestromung viscoelastischer fluussigkeiten, dissertation, RWTH-Aachen, F. R. G.; partly communicated by P. Schummer and W. Thielen, structure of turbulence in viscoelastic fluids. Chemical Engineering Communications, 4(4–5), 593–606. (1980).
Virk, P. S. (1971). Drag reduction in rough pipes. Journal of Fluid Mechanics, 45(2), 225–246.
Virk, P. S. (1975). Drag reduction fundamentals. AICHE Journal, 21(4), 625–656.
Wells, C. S. (1968). Turbulent heat transfer in drag reducing fluids. AICHE Journal, 14(3), 406–410.
Willmarth, W. W., Wei, T., & Lee, C. O. (1987). Laser anemometer measurements of Reynolds stress in a turbulent channel flow with drag reducing polymer additives. Physics of Fluids, 30(4), 933–935.
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Shenoy, A. (2020). Turbulent Forced and Mixed Convection Heat Transfer in Internal Flows. In: Rheology of Drag Reducing Fluids. Springer, Cham. https://doi.org/10.1007/978-3-030-40045-3_5
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DOI: https://doi.org/10.1007/978-3-030-40045-3_5
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