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G-type shells in shell-and-tube heat exchangers: Gaddis, E S, Galerkin method, for heat conduction finite-element calculations, Galileo number, Gas-liquid flows: Gas-liquid-solid interfaces, fouling at, Gas-solid interfaces, fouling at, Gas tungsten arc welding, Gaseous fuels, properties of, Gases: Gaskets: Gauss-Seidel method, for solution of implicit equations, Geometric optics models for radiative heat transfer from surfaces, geothermal brines, fouling of heat exchangers by, Germany, Federal Republic of, mechanical design of heat exchangers in: Gersten, K, Girth flanges, in shell-and-tube heat exchangers, Glass production, furnaces and kilns for, Glycerol (glycerine): Gn (heat generation number), Gnielinski, V
Forced Convection in Ducts Helically Coiled Tubes of Circular Cross Sections
Gnielinski correlation, for heat transfer in tube banks, Gomez-Thodas method, for vapour pressure, Goodness factor, as a basis for comparison of plate fin heat exchanger surfaces, Goody narrow band model for gas radiation properties, Gorenflo correlation, for nucleate boiling, Gowenlock, R, Graetz number: Granular products, moving, heat transfer to, Graphite, density of, Grashof number Gravitational acceleration, effect in pool boiling, Gravity conveyor: Gregorig effect in enhancement of condensation, Grid baffles: Grid selection, for finite difference method, Griffin, J M, Groeneveld correlation for postdryout heat transfer, Groeneveld and Delorme correlation for postdryout heat transfer, Gross plastic deformation Group contribution parameters tables, Guerrieri and Talty correlations for forced convective heat transfer in two-phase flow, Gungor and Winterton correlation, for forced convective boiling, Gylys, J,

Index

HEDH
A B C D E F G
G-type shells in shell-and-tube heat exchangers: Gaddis, E S, Galerkin method, for heat conduction finite-element calculations, Galileo number, Gas-liquid flows: Gas-liquid-solid interfaces, fouling at, Gas-solid interfaces, fouling at, Gas tungsten arc welding, Gaseous fuels, properties of, Gases: Gaskets: Gauss-Seidel method, for solution of implicit equations, Geometric optics models for radiative heat transfer from surfaces, geothermal brines, fouling of heat exchangers by, Germany, Federal Republic of, mechanical design of heat exchangers in: Gersten, K, Girth flanges, in shell-and-tube heat exchangers, Glass production, furnaces and kilns for, Glycerol (glycerine): Gn (heat generation number), Gnielinski, V
Forced Convection in Ducts Helically Coiled Tubes of Circular Cross Sections
Gnielinski correlation, for heat transfer in tube banks, Gomez-Thodas method, for vapour pressure, Goodness factor, as a basis for comparison of plate fin heat exchanger surfaces, Goody narrow band model for gas radiation properties, Gorenflo correlation, for nucleate boiling, Gowenlock, R, Graetz number: Granular products, moving, heat transfer to, Graphite, density of, Grashof number Gravitational acceleration, effect in pool boiling, Gravity conveyor: Gregorig effect in enhancement of condensation, Grid baffles: Grid selection, for finite difference method, Griffin, J M, Groeneveld correlation for postdryout heat transfer, Groeneveld and Delorme correlation for postdryout heat transfer, Gross plastic deformation Group contribution parameters tables, Guerrieri and Talty correlations for forced convective heat transfer in two-phase flow, Gungor and Winterton correlation, for forced convective boiling, Gylys, J,
H I J K L M N O P Q R S T U V W X Y Z
G Gnielinski, V
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Helically Coiled Tubes of Circular Cross Sections

DOI 10.1615/hedhme.a.000181

2.5.14 Helically coiled tubes of circular cross sections

Volker Gnielinski

A. Introduction

Centrifugal forces in a fluid flowing through a curved pipe cause secondary flows that circulate outward into the core region of the pipe to form a pair of symmetric vortices. The combination of the main and secondary flows creates a flow pattern in which the maximum velocity is shifted outward from the center of the tube. The secondary flow produces a transverse transport of the fluid over the cross section of the pipe. This additional convective transport increases the heat transfer and the pressure drop when compared to that in a straight tube. The differences are particularly apparent in laminar flows.

B. Definitions

Figure 1 shows the geometry of a coil. The intensity of the secondary flow depends on the relative curvature \((d/D)\) of the coil, where d is the inner diameter of the tube and D the diameter of the curvature. The diameter of the curvature D is related to the diameter \(D_{c}\) and the pitch h of the helical coil by

\[\label{eq1} D=D_{c}\left[1+\left(\frac{h}{\pi D_{c}}\right)^{2}\right]\tag{1}\]

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