[0001] The invention relates to a boiler with heat transfer by convection between a heat
source and a profiled heat exchanger.
[0002] Such boilers are generally used in central heating installations. The heat source,
usually a gas or oil burner, generates heat which warms up a transfer medium, generally
the flue gases of the burned gas or oil. That transfer medium then transfers its absorbed
heat to a liquid, usually water, by means of a heat exchanger. The flue gases flow
along the outer surface of the heat exchanger and transfer their heat by convection
to the metal, usually cast iron, of the heat exchanger which transfers then, on its
turn, the absorbed heat by convection to the water. The surface of the heat exchanger
is usually profiled, for instance provided with fins if the boiler is made of cast
iron, in order to increase the effective surface of the heat exchanger.
[0003] A drawback of the known boilers consists in that the profiling of the heat exchanger
is substantially identical over its whole surface. The temperature gradient of the
transfer medium over the heat exchanger forms an exponentially decreasing function
as a result of which the part of the heat exchanger, which is first brought into contact
with the transfer medium, will absorb the largest quantity of heat whereas the part
the furthest remote from the heat source, will absorb the least quantity of heat.
All this results in an unequal heat transfer over the whole surface of the heat exchanger.
That unequal heat transfer on its turn causes stresses in the material of the heat
exchanger. Furthermore, there also arise larger losses in the heat exchange as a result
of said unequal heat transfer.
[0004] The object of the invention is to realize a boiler wherein a substantially equal
heat transfer takes place over the surface of the heat exchanger.
[0005] To this end, a boiler according to the invention is characterized in that the surface
of the profile applied to the heat exchanger and over which the heat transfer takes
place, increases with increasing distance from the heat source. Since the temperature
of the transfer medium is higher in the vicinity of the heat source then remote from
the heat source, the smaller surface near the heat source will absorb less heat at
a higher temperature and the larger transfer surface remote from the heat source will
absorb more heat at a lower temperature. As a result thereof, the heat transfer per
surface unit is substantially constant when further parameters, such as for example
the speed of the transfer medium, remain constant and no stresses are created in the
material of the heat exchanger. Due to the equal heat transfer, the maximum thermal
load of the heat exchanger is lowered and a smaller heat exchanger can be used for
a transfer of an equal amount of heat which constitutes an economic value.
[0006] A first preferred embodiment of a boiler according to the invention wherein the surface
of the heat exchanger is provided with fins, is characterized in that the surface
of the fins increases the further the fins are remote from the heat source. As a result
thereof, the fins which are situated nearby the heat source have a smaller surface
than the ones which are situated further from the heat source and the heat transfer
per fin is substantially constant if other parameters remain of course constant.
[0007] A second preferred embodiment of a boiler according to the invention is characterized
in that the surface increase of the fins is mainly realized by an increase in length
of the fins. In this way, the increase in surface can be realized easily.
[0008] A third preferred embodiment of a boiler according to the invention is characterized
in that the fins are serially disposed in series each time of substantially parallel
fins,wherein each of the fins of a same series has substantially a same surface, and
in that the surface of the fins of successive series increases with increasing distance
from the heat source. The heat transfer is hereby optimized.
[0009] Advantageously, the increase in length between two successive fins in a direction
away from the heat source, is mainly determined by the total number of fins of a different
length on the same heat exchanger. Hereby, constructional limitations are taken into
account and manufacturing costs are reduced.
[0010] A further preferred embodiment of a boiler according to the invention is characterized
in that the profile of the fin is mainly determined by the length of the fin. This
results in a simple determination of the profile taking into account the length of
the fin.
[0011] The invention will now be further described on the hand of the drawing. The invention
is however not limited to the examples shown in the drawing. It will be clear that
several variants are possible within the scope of the invention. In the drawing :
Figure 1 shows a section of a boiler according to the invention.
Figure 2 shows a graph of the temperature gradient of the transfer medium over the
surface of the heat exchanger.
Figure 3 shows an example of a profile of a fin.
Figure 4 shows a longitudinal section of a further type of heat exchanger according
to the invention.
[0012] The boiler shown in Figure 1, comprises a connection 1 for supplying a fuel, in the
chosen example natural gas, which connection is connected to an atmospheric burner
2 operating as a heat source.
[0013] It will be clear that the invention is also applicable to boilers provided with non-atmospheric
burners such as pressurized boilers. Furthermore, fuel oil is also suitable as fuel.
[0014] The boiler is further provided with a heat exchanger 3 the outer surface of which
is provided with series of fins (4-10). A liquid, for example water, circulates along
the inner surface of the heat exchanger. The cold water is supplied through a pipe
coupling 11 and the heated water is outputted through a pipe coupling 12.
[0015] Besides the primary air, which is supplied in addition to the fuel, there is also
supplied from underneath secondary air 13 to incinerate the fuel. Due to the combustion
of the fuel there is formed a transfer medium, for example flue gases which flow along
the fins towards the chimney. The heat stored in the flue gases is transferred to
the fins by convection, which fins transfer the thus absorbed heat, again by convection,
to the water.
[0016] The heat capacity of a fin, that is the amount of heat which can be absorbed by a
fin, is mainly determined by the dimension of the fin and the material of which the
fin is made at least if other parameters of the transfer medium remain constant. The
larger the surface of the fin, the more heat the fin can absorb, respectively supply,
at least within certain limits. In the heat exchanger as shown in Figure 1, the fins
4 of the first series which is situated the nearest to the heat source, have the smallest
surface. The surface of the further series of fins (5-10) increases the further the
fins are remote from the heat source. The fins which are situated more closely to
the heat source thus have a smaller heat capacity than the ones which are remotely
situated since they have a smaller surface.
[0017] The temperature of the flue gases is however the highest near the heat source and
this temperature decreases due to heat transfer to the fins and due to further losses
the more the flue gases are remote from the heat source. The curve 14, shown in Figure
2, illustrates the decrease in temperature of the flue gases as a function of the
distance over the heat exchanger (vertical y-direction: temperature of flue gas;
horizontal x-direction : distance over the heat exchanger).
The curve shows for example that, at the height of the first series of fins 4, the
temperature is 1400°C whereas the temperature is for example 270°C at the height of
the last series of fins 10.
[0018] The geometry of the heat exchanger is as such that its cross-section decreases with
increasing distance from the heat source. This geometry is thus chosen because a volume
change caused by the temperature decrease of the transfer medium, occurs in the transfer
medium. The density of the transfer medium increases as the temperature and the volume
of the latter decreases. However, since the cross-section of the heat exchanger decreases
with increasing distance from the heat source, the speed of the transfer medium remains
substantially the same as a result of which no disturbing of the heat transfer is
caused.
[0019] The combination of the temperature fall of the flue gases and the increase in heat
capacity of the fins the further they are remote from the heat source causes now that
the heat transfer between flue gases and fins is approximately constant over the whole
surface of the heat exchanger. Indeed, the fins 4 with a small heat capacity absorb
heat only during a short time, at a high temperature whereas the fins 10 with a larger
heat capacity are absorbing heat during a longer time, at a lower temperature. As
a result thereof, the total amount of heat supplied to each of the fins is substantially
constant (ΔQ = constant) so that also the heat transferred to the water is substantially
constant.
[0020] The heat exchanger is now submitted to a temperature gradient the absolute value
of which is, on the one hand, much smaller than the maximum temperature gradient in
a conventional heat exchanger and which remains, on the other hand, approximately
constant over the whole length of the heat exchanger. Stresses in the material of
the heat exchanger are thereby avoided. Even if there are some changes over the surface,
the fluctuations remain nevertheless limited. The fact that stresses in the material
are avoided results in that less material is needed since it is no longer necessary
to compensate those stresses with additional material.
[0021] The fin length as well as the total number of different fin lengths, is mainly determined
by :
- the temperature difference between the flue gases on the hot and on the cold side
of the heat exchanger.
- the length of the heat exchanger as determined in the flow direction of the flue
gases.
- the desired optimalization degree.
- the constructional limitations.
[0022] In order to determine for each series of fins each time the length of the fins from
that series, there is firstly determined, in function of the optimalization degree,
how many series of fins there will be applied to the heat exchanger. Suppose now,
as an example, that one wishes to apply four series of fins on the outer surface of
the heat exchanger. In order to determine the length of the fins from each series,
there is started from the curve 14 represented in Figure 2. Now four points A, B,
C and D are determined on this curve since four series of fins are needed. These
are determined by dividing the surface delimited by the curve 14 and the coordinate
system, into four approximately equal parts. Point A, is then chosen in such a manner
that the surface of the rectangle OVTR is approximately equal to the surface of the
plane OVSP. The temperature belonging to this point A, in this example 1250°C, corresponds
then approximately to the average temperature of the flue gases over the part OV of
the heat exchanger. The length of the fin is now given by the distance OV. An analogous
procedure is now followed to determine the points B, C and D and in this way to determine
the length of the fins WL, MN and EF. The surfaces OVTR, WLZK, MNJI and EFHG are all
approximately equal to each other so that the heat transfer for each of the fins is
approximately the same.
[0023] It will be clear that if one wants to refine the optimalization degree, the number
of fins increases. However, this number cannot increase unlimited and is subjected
to constructional limitations.
[0024] When the length of the fins has been determined for each series, then the profile
of the fin is determined. Care is taken that the flue gases experience a minimum resistance
and that they thus have an aerodynamic profile. In order to design an aerodynamic
profile, use is for example made of studies of the NACA (National Advisory Committee
for Aeronautics). Figure 3 shows an example of a profile of a fin. The length (c)
is indicated in the x-direction whereas the y-direction indicates the height. Starting
from the predetermined total length of the fin, the profile is calculated by determining
each time for a given x-value (= fraction of the total length of the fin) a corresponding
y-value.
[0025] Preferably, the fins from the successive series are disposed shifted with respect
to each other so that an optimal heat transfer between flue gases and fins is realized
at a minimum aerodynamic resistance.
[0026] Besides the use of fins to optimalize the heat transfer it is also possible to choose
alternative solutions. So it is for instance possible to profile the surface of the
heat exchanger as illustrated in Figure 4 wherein a longitudinal section of a part
of a further type of heat exchanger is shown. The surface of the heat exchanger illustrated
at that place is profiled in such a manner that the surface of the cames 15 to 19
applied thereto increases with increasing distance from the heat source. The effective
surface over which the heat transfer takes place increases thus also with increasing
distance from the heat source.
1. A boiler with heat transfer by convection between a heat source and a profiled
heat exchanger (3), characterized in that the surface of the profile applied to the
heat exchanger and over which the heat transfer takes place, increases with increasing
distance from the heat source.
2. A boiler as claimed in claim 1 wherein the profile applied to the heat exchanger
is formed by fins (4-10), characterized in that the surface of the fins increases
the further the fins are remote from the heat source.
3. A boiler as claimed in claim 2, characterized in that the surface increase of the
fins is mainly realized by an increase in length of the fins.
4. A boiler as claimed in claim 3, characterized in that the increase in length between
two successive fins in a direction away from the heat source, is mainly determined
by the total number of fins of a different length on the same heat exchanger.
5. A boiler as claimed in claim 4, characterized in that the length of a fin is each
time further determined by the temperature decrease of a transfer medium through which
the heat is transferred between the heat source and the heat exchanger over the contact
surface of heat exchanger covered by that fin.
6. A boiler as claimed in claim 4, characterized in that said total number of fins
of different length is predetermined.
7. A boiler as claimed in any one of claims 2 to 6, characterized in that the fins
are serially disposed in series each time of substantially parallel fins, and wherein
each of the fins of a same series has substantially a same surface, and that the surface
of the fins of successive series increases with increasing distance from the heat
source.
8. A boiler as claimed in claim 7, characterized in that the fins of successive series
are each time shifted with respect to each other.
9. A boiler as claimed in any one of claims 2 to 8, characterized in that the profile
of the fin is mainly determined by the length of the fin.
10.A heat exchanger for a boiler as claimed in any one of claims 1 to 9, characterized
in that the surface of the profile applied to the heat exchanger and over which surface
the heat transfer takes place, increases with increasing distance from the heat source.