Serpentine
Serpentine is the term given to the shape of a particular type of low-dispersion connecting tubing. The velocity profile of fluid flow through a cylindrical tube is parabolic which (as Golay has shown) causes significant dispersion (band spreading) as the solute passes down the tube. The dispersion or band spreading is inversely proportional to the diffusivity of the solute in the mobile phase and, as the diffusivity of a solute in a gas is relatively large, dispersion in GC connecting tubes is not usually significant. In liquid chromatography, however, the diffusivity may be four orders smaller than in a gas and, thus, dispersion can become very serious. Connecting tubes are an essential feature of most chromatographs and so in liquid chromatography, tubes providing minimum dispersion are necessary to maintain the integrity of the separation. To reduce dispersion, convective mixing must be introduced into the connecting tube which is achieved by making it serpentine in shape. As the mobile phase continually changes direction as it passes from one semicircular loop to the next “swirls’ are produced that provide convective mixing and dramatically increases the effective solute diffusivity. As a result dispersion in serpentine connecting tubes is almost negligible. The energy required to produce the convective mixing is provided by a greater pressure drop across the serpentine connecting tube. The serpentine tube reduces dispersion to a greater extent than simple coiling as the direction of flow is not merely continually changed but is actually reversed at each serpentine bend. Diffusion and thermal conductivity are very similar types of transfer processes and are described by very similar mathematical functions. The serpentine tube is also an extremely efficient heat exchanger.
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
Serpentine Tubes
The low
dispersion serpentine tube (6), an alternative to the coiled tube, was designed
to increase secondary flow above that which occurs in a simple coiled tube by reversing
the direction of flow at each serpentine bend. A diagram of a serpentine tube
is shown in figure 12.
Ref (P) J. Chromatogr. 268(1978)681
Internal radius, 0.010 in. (0.0127 cm),
external radius 0.020 in. (0.025 cm), linear length 17 in., serpentine length
15 in., serpentine amplitude, 0.050 in.
Figure 12.
The Low Dispersion Serpentine Tube
 
EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
The serpentine
tube is protected by an outer sheath which also provides some mechanical
strength. In a coiled tube, the flow of fluid is continually deflected in the
same direction, but in the serpentine tube the reversal of the flow at each
bend also induces some turbulence, which strongly augments the increase in
diffusivity. As a result low dispersion is produced at relatively low solvent
velocities.
Curves for a
serpentine tube having the dimensions given in figure 12 relating the variance
per unit length of the tube (H) against flow rate are shown in figure 13. The
flow rate is employed as the independent variable as an alternative to the more
usual linear velocity
EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Low-Dispersion-Tubing
Despite the
apparent advantages, low dispersion serpentine tubing appears to have been
employed in only one commercial LC detector. It should be pointed out that any
conduit system that has low dispersion will also provide very fast heat
transfer rates. Serpentine tubing has been also used in commercial column ovens
to heat the mobile phase rapidly to the column oven temperature before it
enters the column. The serpentine tubing allows effective heat exchange with a
minimum of heat exchanger volume to distort the concentration profile of the
HPLC-Detectors Dispersion Low-Dispersion-Tubing
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
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Low dispersion
tubing has a another feature that follows directly from its operating
principle. The secondary flow that results from its serpentine form greatly
increases its thermal conducting properties. It follows that serpentine tubes
are also highly efficient heat exchangers. Serpentine tubing has been used to
preheat the mobile phase before entering a thermostatted column. A few
centimeters of serpentine tubing were found to be sufficient to achieve
complete thermal equilibrium between the column and the mobile phase.
The different
forms of dispersion profiles that are obtained from various types of connecting
tubes used in LC are shown in figure 14. The peaks shown were obtained using a
low dispersion
EC-Dispersion Low-Dispersion-Connecting-Tubes Serpentine-Type
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Low-Dispersion-Tubing
coiled tubes by the continual change in direction of the fluid as it
flowed round the spirals (his theory will be considered in detail in Book 9).
Tijssen found that by coiling the tubes significantly reduced dispersion,
particularly at high flow rates However, the coils were a little clumsy to form
as the radius of the coil was required to be less than 3 times the internal
radius of the tube for optimum performance. A more practical system was
introduced by Katz and Scott (10), who developed a serpentine form of
connecting tube that met the requirement that the radius of the serpentine
bends (a/2 in the diagram) was less that 3 times that of the internal radius of
the tube. A diagram of a serpentine tube is shown in figure 3.
Figure 3 Low Dispersion Tubing
During passage
through the tube, the direction of mobile phase flow changed by 180o
as it passed from one serpentine bend to another. This violent change in
direction resulted in extensive radial flow which
HPLC-Detectors Dispersion Low-Dispersion-Tubing
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Low-Dispersion-Tubing
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Figure 4 Graphs of Peak Variance against
Flow Rate for Straight and Serpentine Tubes
This effect is
clearly shown by the curves relating the variance against flow rate for
straight and serpentine tubes shown in figure 4. It is seen that at high flow rates,
the dispersion is reduced by over an order of magnitude by the serpentine
tubing relative to the dispersion that occurred in the straight tube
HPLC-Detectors Dispersion Low-Dispersion-Tubing