Field of the Invention
[0001] The present invention relates to an indirect heat exchange device comprising finned
heat exchanger tubes and to a method of exchanging heat between a first fluid and
a second fluid.
Background of the Invention
[0002] Finned heat exchanger tubes can be used in indirect heat exchange devices wherein
a first fluid, which is passed through the interior of the finned tubes, can exchange
heat with a second fluid outside the tubes.
[0003] For a variety of reasons, the geometric centroid of the cross-section of the envelope
defined by the fins of a heat exchanger tube sometimes does not coincide with the
axis of the tube.
DE-A-1451143 describes an indirect heat exchange device of which the fins of the outer heat exchanger
tubes contain additions to shade these outer fins from the sun or other sources of
heat.
GB-A-281,289 describes finned heat exchanger tubes of which the fins are arranged eccentric relatively
to the centre of the tube, which tubes are arranged in layers having opposite eccentricity
in order to force gases to take a sinuous path in order to increase the efficiency
of the apparatus.
US-A-4,002,198 describes a desublimator for isolating sublimation products comprising finned tubes
intended to be alternately subjected from the inside to a heating medium and a coolant,
the transverse fins of which tubes are arranged in rows staggered laterally in opposite
directions by an amount corresponding to the whole spacing between adjacent fin edges
to provide additional turbulence surfaces causing greater pressure drops.
US-A-4,440,216 teaches to foreshorten the fins at the top of a heat exchanger tube in order for
liquid to be more uniformly distributed over the tubes. The fins of liquid treated
heat exchanger tubes have a relatively small surface area, i.e. the ratio of surface
area of fins to surface area of the tube will be substantially less than 5. The eccentrically
finned heat exchanger tube shown in Fig. 6 of
NL-C-1019777 has a ratio of surface area of fins to surface area of the tube of substantially
less than 5 as well.
[0004] Finned heat exchanger tubes may in particular be used in air-cooled heat exchanger
devices, wherein the fluid outside the tubes is air.
[0005] Air-cooled heat exchangers can also be referred to as air coolers. Air coolers are
described in
Perry's Chemical Engineers' handbook, 7th edition, 1997, pages 11-47 to 11-52. Air coolers are for example used in refinery, petrochemical and chemical processes
to cool or condense process fluids inside the tube with air outside the tube. Air
coolers typically include a bundle of finned tubes, and a fan, which fan moves air
across the tubes.
[0006] In air-cooled heat exchangers, the heat transfer from the fluid inside the tube to
the tube itself is typically much more efficient than the heat transfer between the
fluid outside the tube (air) and the tube itself. The efficiency of heat transfer
can for example be expressed by a so-called film coefficient as defined in Perry's,
pages 5-12 to 5-19. In order to compensate for a difference in film coefficients,
the external surface area of the heat exchanger tube is increased by means of fins,
so that the product of film coefficient and surface area inside and outside of the
heat exchanger tube is of the same order of magnitude.
[0007] Heat transfer due to free convection can be described by the following equation:

The rate dQ/dt of heat exchanged Q (also referred to as duty) with the surrounding
fluid is proportional to the object's exposed area A, and the difference between the
object temperature T
w and the fluid free-stream temperature T
∞. The constant of proportionality h is termed the convection heat-transfer coefficient,
also referred to as film coefficient [units W/(m
2.K)].
[0008] The flow of fluid outside the tube is typically induced by a fan. The higher the
air velocity, the higher the heat transfer coefficient and the higher the duty. However,
the air velocity is often limited, such as by the maximum noise level of a fan, e.g.
80 dBa. For a given fan rotating at a certain speed, the air velocity across a bundle
of finned tubes is determined by the static pressure drop (resistance) of the bundle.
A higher air velocity will be achieved if the pressure drop (resistance) is lower.
[0009] Finned tubes are also employed in heaters or furnaces, such as fired heaters, for
improving the heat transfer from the heating fluid surrounding the tubes to fluid
that is flowing inside the tubes. It has been observed that coking of fluid inside
heat exchanger tubes occurs preferentially at the upstream (upwind) side of the flow
of fluid outside the tubes, for example in heaters for crude oil entering a crude
distillation unit. Typically the heating fluid is combustion gas from the combustion
of a fuel, rising upwardly in a heater.
[0010] Figure 6 of
NL-A-1019777, which discloses the preamble of claim 1, is a schematic drawing of a finned heat
exchange element and lacks information on how the fins are positioned vis-à-vis the
flow of air.
[0011] It is desired to increase the efficiency of heat transfer in heat exchange devices
comprising finned heat exchanger tubes.
Summary of the Invention
[0012] To this end there is provided an indirect air-cooled heat exchange device comprising
heat exchanger tubes arranged in at least 2 layers each of which layers comprises
at least 2 heat exchanger tubes and a fan having a blow or suck direction across the
heat exchanger tubes and defining an upstream side of the heat exchanger tubes wherein
the heat exchanger tubes are eccentrically finned heat exchanger tubes having a ratio
of surface area of the fins to surface area of the tube of at least 5, and in which
device the heat exchanger tubes have for their position in the device, the same spacing
both in magnitude and in direction between the axis of the tube and the geometrical
centroid of the envelope defined by the fin and in which the geometric centroid of
the cross-section of the envelope defined by the fins of the heat exchanger tubes
is arranged upstream from the axis of the tubes.
[0013] Finned heat exchanger tubes have an axis and are provided with fins, the fins defining
an envelope having a cross-section, wherein the cross-section of the envelope has
a geometric centroid. In eccentrically finned heat exchangers, this geometric centroid
is spaced apart from the axis of the tube.
[0014] The geometric centroid of an area, such as of the cross-section of the envelope of
the fins, is similar to the center of mass of a body. Calculating the centroid is
based on the geometrical shape of the area. Cartesian co-ordinates C
x, Cy of the geometric centroid can for example be determined by integration over the
area A, C
x=∫ x dA/A, C
y=∫ y dA/A, A=∫ dA.
[0015] The axis of the tube is the longitudinal axis of the interior of the tube.
[0016] Eccentricity is defined as the spacing, both in magnitude and direction, between
the axis of the tube and the geometrical centroid of the envelope of the tube as positioned
in the device. Finned heat exchanger tubes of similar eccentricity in the heat exchange
device are finned tubes having an eccentricity which is the same both in magnitude
and in direction for their position in the heat exchange device. The influence of
the position in the device on the eccentricity of a tube is clear from Figures 1,
3 and 4 of
GB-A-281,289 where the eccentriciy of tubes in adjacent layers is opposite in direction due to
the different position of tubes in adjacent layers.
[0017] In the indirect heat exchange device according to the present invention, most, preferably
all, finned heat exchanger tubes of the device have a similar eccentricity. Preferably,
the finned heat exchanger tubes of the device according to the present invention have
the same eccentricity both in magnitude and direction.
[0018] It is preferred that the direction of the eccentricity of the heat exchanger tubes
of the device is parallel, i.e. either the same or opposite in direction, to the direction
in which fluid outside the tubes normally flows.
[0019] A substantial part of the static pressure drop due to a finned heat exchanger tube
is caused by the fins. It has now been found that the effectiveness of finning with
respect to heat transfer is higher at the upstream side of the tube than at the downstream
side. In the description and in the claims, the upstream (also referred to as upwind)
side is the side at which the fluid flow direction outside the tubes is towards the
finned tubes, and at the downstream (downwind) side the fluid flow outside the tubes
is away from the tubes.
[0020] The different effectiveness can be observed for conventional concentric circular
fins in that the temperature of the tips of such fins is lower on the upstream side
than on the downstream side. The difference in temperature between the fin tip and
the fluid surrounding the fin tip, hereinafter referred to as the differential temperature,
is also higher for the fins at the upstream side of such conventional heat exchanger
tubes. For this reason it is advantageous to arrange the finning eccentrically on
the tubes, or in other words, to use non-concentric fins. It will be clear that the
difference in effectiveness is more pronounced for heat exchanger tubes having a relatively
high surface area, i.e. having a ratio of surface area of the fins to surface area
of the tube of more than 5, more specifically at least 6, more specifically at least
7, more specifically at least 8, more specifically at least 9, and most specifically
at least 10. It is especially preferred for the indirect heat exchange devices of
the present invention to contain such high surface area heat exchanger tubes. The
ratio of surface area of the fins to surface area of the tube preferably is at most
25. The surface area of the fins is the surface area of the fins to be in contact
with the fluid outside the tube while the surface area of the tube is the surface
area of the tube in contact with the fluid inside the tube.
[0021] A particular phenomenon in heat transfer by finned tubes is recirculation, i.e. eddies
formed in the fluid at the downstream side, which hamper efficient heat transfer.
This effect is also minimized by having the larger part of the fin surface at the
upstream side. By proper design for a particular application it can be achieved that
the upstream and downstream differential temperatures at the tips of the fins of the
heat exchanger tubes are substantially equal.
[0022] The fin can have any suitable shape such as circular, elliptical, oval, polygonal,
or egg-shaped (i.e. roughly oval with somewhat different radii at the tips; the larger
radius can suitably be arranged at the downstream side). An elliptical shape has shown
good results.
[0023] Because the heat transfer is optimised, less finning is required to achieve the same
duty. Moreover, if less finning is used, the static pressure drop over a bundle will
reduce so that the maximum air velocity for a given fan capacity will increase, so
that the overall duty can be increased.
[0024] The indirect heat exchange device according to the present invention comprises at
least 2 layers, preferably at least 3 layers, more preferably at least 4 layers of
heat exchanger tubes. Preferably, the number of layers is at most 10, more preferably
at most 9. Further, each layer comprises at least 2, more preferably at least 3, more
preferably at least 4 heat exchanger tubes. The number of layers and the number of
tubes is the number of times the tube is present independent from whether the tubes
are connected to each other such as via a tube bend.
[0025] The heat exchanger tubes in adjacent layers are preferably arranged staggered with
respect to each other while the tubes in the device still have similar eccentricity.
[0026] The heat exchange device according to the present invention can further comprise
a fan having a blow or suck direction across the heat exchanger tubes and defining
an upstream side of the heat exchanger tubes, and wherein the geometric centroid of
the cross-section of the envelope defined by the fins is arranged upstream from the
axis of the tube.
[0027] The problem of preferential coking in a heater can also be solved with the help of
the heat exchange device according to the present invention. According to the present
invention, the geometric centroid of the cross-section of the envelope defined by
the fins preferably is arranged downstream from the axis of the tubes with respect
to the direction of heating fluid flow across the heat exchange device (typically
the upper side). Accordingly, in a particular aspect the invention provides an indirect
heat exchange device arranged in a heater having flow direction of heating fluid across
the heat exchange device and defining a downstream side of the heat exchanger tubes
of the device, and wherein the geometric centroid of cross-section of the envelope
defined by the fins is arranged downstream from the axis of the tubes. In this way
a more equal heat transfer around the circumference of the tube is achieved, so that
temperature differences at the inner wall between the upstream and downstream sides
are minimized. This will suppress preferential coking at the upstream side within
the tubes.
[0028] In the description and in the claims the expression "the geometric centroid of the
cross-section of the envelope defined by the fins is arranged upstream (or downstream)
from the axis of the tube" refers to a position of the geometric centroid in a plane
parallel to a plane through the tube axis and perpendicular to the direction of the
flow of fluid outside the tubes, and which plane is more upstream (or more downstream)
than the plane through the tube axis, respectively. The geometric centroid is in an
upstream position along the direction of fluid flow outside the tubes with respect
to the axis of the tube.
[0029] The invention also provides the use of the indirect heat exchange device according
to the invention for exchanging heat between a first fluid inside the tubes and a
second fluid outside the tubes. Accordingly, the invention provides a method of exchanging
heat according to claim 4.
[0030] Preferably, the upstream and downstream differential temperatures, as defined above
and with respect to the flow of fluid outside the tubes, at the tip of the fins of
the heat exchanger tubes are substantially equal during use in the method according
to the invention.
[0031] Heat exchanger tubes for use in the device according to the present invention can
be manufactured in many different ways. A suitable method of manufacturing comprises
- providing a tube having an outer surface and a circumference;
- providing an elongated strip of fin material having a length direction, the strip
having a straight side along its length direction, and a side opposite the straight
side, wherein the width of the strip varies along the length direction defining maxima
and minima, wherein the maxima are spaced apart in length direction substantially
by the circumference of the tube;
- spirally winding the strip around the tube so that the straight side is attached to
the outer surface of the tube.
[0032] Using this method a finned heat exchanger tube can be obtained, which has an eccentric
envelope with respect to the axis of the tube, wherein the geometric centroid of cross-sections
of the envelope extends a line parallel to the longitudinal axis of the tube. The
elongated strip can be efficiently manufactured by cutting from an elongated strip
with parallel straight sides, so that two elongated strips are obtained.
Brief description of the Drawings
[0033] The invention will now be described in more detail and with reference to the accompanying
drawings, wherein
Figure 1 shows schematically a conventional finned heat exchanger tube in perspective
view;
Figure 2 shows schematically the conventional finned heat exchanger tube of Figure
1 in transverse cross-section;
Figure 3 shows schematically a first embodiment of a finned heat exchanger tube for
use in a device according to the invention in transverse cross-section;
Figure 4 shows schematically a second embodiment of a finned heat exchanger tube for
use in a device according to the invention in transverse cross-section;
Figure 5 shows schematically a indirect heat exchange device and a fan according to
the invention.
[0034] Where the same reference numerals are used in different Figures, they refer to the
same or similar objects.
Detailed Description of the Invention
[0035] Reference is made to Figure 1, showing schematically a conventional finned heat exchanger
tube 1. The tube is provided with fins 3 of circular cross-section. The fins are obtained
by helically winding a strip of metal around the inner tube 5. The fins define an
envelope 7 having a circular cross-section 8. The geometric centroid of the circle
8 is in the centre 9, which coincides in this case with the longitudinal axis 10 of
the tube 1. The conventional finned heat exchanger tube 1 is shown in transverse cross-section
in Figure 2.
[0036] Reference is now made to Figure 3, showing schematically a finned heat exchanger
tube 21 for use in a device according to the invention. The tube is provided with
fins 23 defining an envelope 24 of elliptical cross-section 25, eccentrically with
respect to the longitudinal axis 30 of the tube 21. I.e., the geometric centroid 31,
which is at the cross section of the major and minor axes 32,33 of the ellipse, is
spaced apart from the axis 30.
[0037] Figure 4 shows schematically another embodiment of a finned heat exchanger tube 41
for use in a device according to the invention. Here the fins 43 define an envelope
44 of circular cross section 45. The centre 46 of the circle 45 is spaced apart from
the longitudinal axis 50 of the tube 41.
[0038] Reference is now made to Figure 5 showing schematically a device 51 according to
the invention comprising eccentrically finned heat exchanger tubes 53, in an assembly
54 with a fan 55, for example to form an air-cooled heat exchanger. The device in
this example comprises 4 layers of tubes when viewed along the blow direction 58 of
the fan 55, each of which layer comprises 3 or 4 heat exchanger tubes. Each tube has
an upstream side 60 and a downstream side 61, wherein the upstream side is closer
to the fan 55 than the downstream side in the case of a fan that blows. The finned
tubes 53 are eccentric elliptical as discussed with reference to Figure 3.
[0039] During operation of the assembly 54, a first fluid is passed through the interior
62 of the tubes 53, and the fan blows second fluid (e.g. air) across the tubes along
the blow direction 58, so as to exchange heat between the first and second fluids,
e.g. to cool the first fluid against air.
[0040] The elliptical fins are non-concentrically arranged such that the geometric centroid
of their envelope is below the axis of the tubes in Figure 5, at the side of the blowing
fan.
[0041] Computational Fluid Dynamics calculations have been performed, in order to compare
the heat transfer duty and pressure drop of a four layer bank of finned heat exchanger
tubes according to the invention with an analogous arrangement of conventional circular
finned tubes. The calculations were performed using a so-called EFD. Lab software
package.
[0042] The model assumes copper tube cores with aluminium fins. The tube core has a fixed
temperature of 100 °C. The ambient temperature of the air is 30 °C. The tubes are
in cross flow, with an ambient air velocity of 4 m/s. The following parameters were
used in the calculations.
Finned tube dimensions (all examples):
Bare inner tube outer diameter: 25.4 mm
Fin thickness: 0.4 mm
Fin pitch (10 fins/inch): 2.54 mm
Fin spacing: 2.14 mm
Ratio of surface area of fins to
surface area of tube: 20
Bank dimensions:
Tube pitch: 63 mm
Stagger angle: 60 degrees
4 layers each comprising several tubes
Example 1
[0043] The device according to the invention comprised ellipsoid and eccentrically finned
tubes.
Major diameter: 74.4 mm
Minor diameter: 42.98 mm
Minimum fin height: 10 mm
Maximum fin height: 39 mm
Magnitude of eccentricity: 15 mm
Comparative Example 2:
[0044] The device not according to the invention comprised conventional concentric circular
finned tubes.
Fin height: 15.88 mm
Outer diameter of fin envelope: 57.15 mm
[0045] In Example 1, a duty of 1366.9 W per meter length of the finned tube was obtained,
at a pressure drop of 101.5 Pa. In the Comparative Example 2, the duty was somewhat
higher, 1505.5 W/m, but at a much higher pressure drop namely 132.0 Pa. The ratio
of duty to pressure drop was 18% higher in the Example 1 according to the invention.
[0046] The embodiment of a heater wherein preferential coking is to be suppressed would
be similar to Figure 5, but instead of the fan a burner would be arranged, and the
elliptical fins would be arranged with the geometric centroid of their envelope above
the axis of the tubes in Figure 5, away from the burner.
1. Indirekt luftgekühlte Wärmeaustauschvorrichtung mit Wärmeaustauscherrohren, die in
zumindest zwei Lagen angeordnet sind, wobei jede Lage zumindest zwei Wärmeaustauscherrohre
und ein Gebläse mit einer Blasoder Saugrichtung über die Wärmeaustauscherrohre aufweist,
das eine stromaufwärtige Seite der Wärmeaustauscherrohre definiert, wobei die Wärmeaustauscherrohre
mit exzentrischen Lamellen versehene Wärmeaustauscherrohre sind, dadurch gekennzeichnet, daß die Wärmeaustauscherrohre für ihre Position in der Vorrichtung den gleichen Abstand,
sowohl hinsichtlich Größe als auch Richtung, zwischen der Achse des Rohres und dem
geometrischen Schwerpunkt der durch die Lamellen definierten Hülle aufweisen, wobei
das Verhältnis der Oberflächenzone der Lamellen zur Oberflächenzone des Rohres zumindest
5 beträgt, und wobei der geometrische Schwerpunkt des Querschnittes der Hülle, der
durch die Lamellen der Wärmeaustauscherrohre definiert ist, stromaufwärts der Achse
der Rohre vorgesehen ist.
2. Indirekt luftgekühlte Wärmeaustauschvorrichtung nach Anspruch 1, dadurch gekennzeichnet, daß das Verhältnis der Oberflächenzone der Lamellen zur Oberflächenzone des Rohres zumindest
7 beträgt.
3. Indirekt luftgekühlte Wärmeaustauschvorrichtung nach Anspruch 1 oder 2, dadurch gekennzeichnet, daß die Richtung der Exzentrizität parallel zu jener Richtung verläuft, in welcher das
Fluid außerhalb des Rohres normalerweise strömt.
4. Verfahren zum Kühlen von Fluid mit Luft, wobei das Verfahren umfaßt
- Vorsehen einer indirekten Wärmeaustauschvorrichtung;
- Leiten von Fluid durch die Wärmeaustauscherrohre der Vorrichtung;
- Leiten von Luft entlang einer Strömungsrichtung über die indirekte Wärmeaustauschvorrichtung,
wobei die Exzentrizität der Wärmeaustauscherrohre parallel zur Strömungsrichtung der
Luft verläuft,
dadurch gekennzeichnet, daß die Wärmeaustauschvorrichtung gemäß einem der Ansprüche 1-3 ausgebildet ist, wobei
der geometrische Schwerpunkt der Lamellen jedes der Wärmeaustauscherrohre stromaufwärts
der Achse der Rohre vorgesehen ist.
5. Verfahren nach Anspruch 4, dadurch gekennzeichnet, daß die stromaufwärtigen und stromabwärtigen Differentialtemperaturen an der Spitze der
Lamellen der Wärmeaustauscherrohre im wesentlichen gleich sind.