An experimental study of pressure drop in helical pipes

Pressure drops of fully-developed incompressible laminar newtonian flows in helical pipes of constant circular cross-section having a finite pitch are experimentally investigated. For the case of loosely coiled pipes of 0 < η/λ < 41.22, f Re (f is the Fanning friction factor and Re is the Reynolds number) is found to be proportional to the square root of the flow Dean number, Dn = Re λ½. Here λ and η are the normalized curvature ratio and torsion which incorporate both the coil radius and its pitch. In all cases studied, the experimental results for f Re are in excellent agreement with the theoretical prediction of Liu & Masliyah.

[1]  Takehiko Inaba,et al.  Laminar Flow in a Helically Coiled Pipe , 1980 .

[2]  Kyoji Yamamoto,et al.  Dual solutions of the flow through a curved tube , 1989 .

[3]  Geoffrey Ingram Taylor,et al.  The Criterion for Turbulence in Curved Pipes , 1929 .

[4]  M. V. Dyke Extended Stokes series: laminar flow through a loosely coiled pipe , 1978, Journal of Fluid Mechanics.

[5]  L. Trefethen,et al.  Some Unanswered Questions in Fluid Mechanics , 1990 .

[6]  S. Dennis Calculation of the steady flow through a curved tube using a new finite-difference method , 1980, Journal of Fluid Mechanics.

[7]  C. M. White Streamline Flow through Curved Pipes , 1929 .

[8]  Laminar flow through a slowly rotating straight pipe , 1985 .

[9]  W. R. Dean,et al.  Note on the motion of fluid in a curved pipe , 1959 .

[10]  S. Dennis,et al.  DUAL SOLUTIONS FOR STEADY LAMINAR FLOW THROUGH A CURVED TUBE , 1982 .

[11]  Jacob H. Masliyah,et al.  Axially invariant laminar flow in helical pipes with a finite pitch , 1993, Journal of Fluid Mechanics.

[12]  C. Y. Wang,et al.  On the low-Reynolds-number flow in a helical pipe , 1981, Journal of Fluid Mechanics.

[13]  W. R. Dean XVI. Note on the motion of fluid in a curved pipe , 1927 .

[14]  J. Masliyah,et al.  Steady Developing Laminar Flow in Helical Pipes with Finite Pitch , 1996 .

[15]  Hsiao C. Kao,et al.  Torsion effect on fully developed flow in a helical pipe , 1987, Journal of Fluid Mechanics.

[16]  Abraham M. Lenhoff,et al.  Flow in curved ducts: bifurcation structure for stationary ducts , 1989, Journal of Fluid Mechanics.

[17]  M. Germano,et al.  On the effect of torsion on a helical pipe flow , 1982, Journal of Fluid Mechanics.

[18]  Zhong-hua Yang,et al.  Multiple laminar flows through curved pipes , 1986 .

[19]  L. Talbot,et al.  Flow in Curved Pipes , 1983 .

[20]  James Thomson,et al.  V. On the origin of windings of rivers in alluvial plains, with remarks on the flow of water round bends in pipes , 1877, Proceedings of the Royal Society of London.

[21]  P. Mishra,et al.  Momentum Transfer in Curved Pipes. 2. Non-Newtonian Fluids , 1979 .

[22]  Stuart W. Churchill,et al.  FULLY DEVELOPED LAMINAR FLOW IN A HELICALLY COILED TUBE OF FINITE PITCH , 1980 .

[23]  L. C. Truesdell,et al.  Numerical treatment of fully developed laminar flow in helically coiled tubes , 1970 .

[24]  G. Hewitt,et al.  On the paradox concerning friction factor ratio in laminar flow in coils , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[25]  E. R. Tuttle,et al.  Laminar flow in twisted pipes , 1990, Journal of Fluid Mechanics.

[26]  A. J. Ward-Smith Internal Fluid Flow: The Fluid Dynamics of Flow in Pipes and Ducts , 1980 .

[27]  Shijie Liu Laminar flow and heat transfer in helical pipes with finite pitch , 1992 .

[28]  Massimo Germano,et al.  The Dean equations extended to a helical pipe flow , 1989, Journal of Fluid Mechanics.

[29]  Krishnaswamy Nandakumar,et al.  Bifurcation in steady laminar flow through curved tubes , 1982, Journal of Fluid Mechanics.

[30]  H. Itō,et al.  Laminar Flow in Curved Pipes , 1969 .

[31]  K. Sreenivasan,et al.  A paradox concerning the extended Stokes series solution for the pressure drop in coiled pipes , 1988 .