An integral profile procedure is used to predict the effects of viscous heating and viscosity reduction on laminar flow development in a uniform pipe of circular cross-section under adiabatic conditions. The effects on fluid and pipe wall temperature, though small in the entrance region for conditions likely to be encountered in practice, become significant for viscous fluids in well-developed flow; the reduced pressure drops predicted relative to isothermal flow compare favourably with available measurements when allowance is made for the possibility of axial conduction therein.
Get full access to this article
View all access options for this article.
References
1.
HerseyM. D.‘Note on heat effects in capillary flow’, Physics19367, 403–7.
2.
TyagiV. P.‘Laminar forced convection of a dissipative fluid in a channel using the method of complex variables’, Trans. Am. Soc. mech. Engrs, J. Heat Transfer196688 (2), 161–9.
3.
TyagiV. P.‘Forced convection of a dissipative fluid in a channel with Neumann conditions’, Trans. Am. Soc. mech. Engrs, J. appl. Mech.196633 (1), 18–24.
4.
TestF. L.‘Laminar flow heat transfer and fluid flow for liquids with temperature-dependent viscosity’, Trans. Am. Soc. mech. Engrs, J. Heat Transfer196890 (4), 385–93.
5.
GaliliN.Takserman-KrozerR.‘Heat effect in viscous flow through a pipe’, Israel J. Tech.19719, 439–55.
6.
MartinB. W.FargieD.‘Effect of temperature-dependent viscosity on laminar forced convection in the entrance region of a circular pipe’, Proc. Instn mech. Engrs1972186, 307–16.
7.
ButterworthD.HazellT. D.‘Forced-convective laminar flow heat transfer in the entrance region of a tube’, Fourth Int. Heat Transfer Conference 1970, FC 3.1, 1–11 (Elsevier, Amsterdam).
8.
HerseyM. D.ZimmerJ. C.‘Heat effects in capillary flow at high rates of shear’, J. appl. Phys19378, 359–63.
9.
PolakP.‘Spontaneous hot-zone formation in oil flow’, J. mech. Engng Sci.197113 (No. 4), 293–95.
10.
FargieD.MartinB. W.‘Developing laminar flow in a pipe of circular cross-section’, Proc. R. Soc.1971A321, 461–76.
11.
FriedmannM.GillisJ.LironN.‘Laminar flow in a pipe at low and moderate Reynolds numbers’, Appl. scient. Res.196819 (6), 426–38.
12.
DeisslerR. C.‘Analytical investigation of fully developed laminar flow in tubes with heat transfer with fluid properties variable along the radius’, Tech. Notes natn advis. Comm. Aeronaut., Wash.2410, 1951.
13.
YangK. T.‘Laminar forced convection of liquids in tubes with variable viscosity’, Trans. Am. Soc. mech. Engrs, J. Heat Transfer196284 (4), 353–62.
14.
CollinsM. W.‘Developing laminar flow in a circular tube’, Symp. Internal Flows1971, Paper 10, B1–B9 (University of Salford).
15.
CollinsM. W. Unpublished communication, 1972.
16.
CollinsM. W. Contribution to the discussion of Proc. Instn mech. Engrs1972186, 307–16.
17.
EdeA. J. JHislopC. I.MorrisR.‘Effect on the local heat-transfer coefficient in a pipe of an abrupt disturbance of the fluid flow: Abrupt convergence and divergence of diameter 2/1’, Proc. Instn mech. Engrs1956170, 1113.
18.
IqbalM.AggarwalaB. D.RojeryaM. S.‘Viscous dissipation effects on combined free and forced convection through vertical circular tubes’, J. appl. Mech.1970 Trans. A.S.M.E. Paper No. 70-APM-000.
19.
LighthillM. J.‘Theoretical considerations on free convection in tubes’, Q. Jl Mech. appl. Math.6, 398.
20.
MartinB. W.‘Free convection in a vertical cylinder with internal heat generators’, Proc. R. Soc.1967A301, 327–41.
21.
BrownA.‘Combined forced and free convection laminar flow over a circular plate’, Proc. Instn mech. Engrs1973187, 44–50.
22.
von KarmanT.‘Über laminare und turbulente Reibung’, Z. angew. Math. Mech.1912, 1, 233.
23.
SchillerL.‘Untersuchungen über laminare und turbulente Strömung’, Z. angew. Math. Mech.19222, 96.
24.
BayleyF. J.OwenJ. M.TurnerA. B.Heat transfer1972 (Nelson and Sons Ltd., London).
25.
LeslieF. M.MartinB. W.‘Laminar flow in the open thermosyphon, with special reference to small Prandtl numbers’, J. mech. Engng Sci.19591, 184–93.
