Title of Invention

" A FLUID FLOW SENSOR USING CENTRIFUGAL FORCE TYPE FLOW TRANSDUCER"

Abstract This invention relates to a low-cost, user-friendly fluid flow sensor using centrifugal force type flow transducer, comprising: (a) a common balance swinging on a fulcrum (1) and having an weighing tray (2) and a second tray (3) for placing weights; (b) a hollow u-tube (4) carrying bellows (5) on the upper parts of both limbs and having two bent portions serving as inlet (6) and outlet (7) for the fluid flowing through it; (c) a soft iron core (8) attached to one of the pans (2) and capable of executing vertical movement in the upward or downward direction through an opening provided in the upper surface of an inductive pick-up coil (9) in the form of a receptacle placed inside a laminated core (10) around the said pick-up coil, carrying lead wires (11) for attachment with a Maxwell's bridge arrangement, and said core (10) has a magnetic shielding (12). Figs. 2 and 4 of the drawings illustrate the invention.
Full Text The present invention relates to a fluid flow sensor using centrifugal force type flow
transducer. More particularly this invention pertains to a system or arrangement for accurately
measuring the rate of flow of a fluid through a pipeline which is one of the most important
requirements in any process plant in order to run the plant at optimum efficiency resulting in
higher output with consequent cost saving.
Heretofore various effects like the effect of energy associated with a fluid flowing
through a pipeline have been attempted to be utilized, such as for instance, Doppler effect and
effect of speed of the fluid on the rate of flow and the like, in designing various flow meters. In
the coriolis flow meter, the effects of velocity of a flowing fluid and the extent of vibration of a
pipeline section through which the fluid flows are put to use to produce a coriolis force which
acts on the pipe wall in the opposite directions in the upstream and downstream sides. As a
result, the resultant oscillation of the upstream side will lag with respect to the centre of the
pipeline section, and that of the downstream side will lead. The delay in time between the
vibrations of these two sides is directly proportional to the mass flow rate, and the results in an
accurate measurement of the flow rate. Effect of different factors like properties of fluid,
operating conditions, installation technique, etc. on coriolis mass flow meters have been studied
and improved versions of such flow meters have been designed.
In anemometer type mass flow meters, the cooling effect of a flowing fluid on a heating
element inside the fluid is utilized in terms of change in resistance of the element with flow rate.
In the vortex flow meter, frequency of vortices produced behind a blunt post in a pipeline
under the turbulent condition is directly proportional to the volume flow rate of the fluid passing
through the pipeline. B. Rodgers and his co-workers (IEEE Journal of Solid State Circuits, Vol.
33, No.12, pp.2121-2133, 1998) have developed a flow sensor module consisting of an
application-specific-integrated-circuit (ASIC) with a fluidic oscillation element and a
differential capacitive pressure sensor (SCS) mounted in a sealed aluminium casing. N. Svedin
and his co-workers (Journal of Microelectromechanical Systems, Vol, 12, No.6, pp 937-946,
December 2003) have developed a micro machined silicon torque sensor which senses the torque
produced at the bearing surface of static turbine placed in a flow tube, and have shown that this
torque is linearly related to the volume flow rate through the pipeline.

Despite sensitivity of the instruments and reproducibility of the results obtained, the
instruments in question require careful handling and periodic servicing,-apart from being costly
and power — intensive.
This invention aims at overcoming the above drawbacks of the prior art and provides a
novel type of flow sensor which is simple in construction, easy to operate and is cost-effective.
The principal objective of this invention is to provide a fluid flow sensor using
centrifugal force type flow transducer.
Another object of this invention is to provide a fluid flow sensor which incorporates
simple components like common pan-balance for measuring the rate of flow of fluid through a
pipeline.
Yet another object of this invention is to provide a fluid flow sensor which is fabricated
from simple components available indigenously, is user friendly and cost-effective.
The foregoing objects are achieved by the present invention which relates to a fluid flow
sensor using centrifugal force type flow transducer, comprising-
(a) a common balance swinging on a fulcrum and having an weighing tray and a second
tray for placing weights;
(b) a hollow u- tube carrying bellows on upper parts of both limbs and having two bent
portions serving as inlet and outlet for the fluid flowing through it;
(c) a soft iron core attached to one of the pans and executing vertical movement in the
upward or downward direction through an opening provided in the upper surface of a
container/receptacle;
(d) the said container or receptacle being provided with inductive pick-up coil carrying
lead wires for attachment with a Maxwell's bridge arrangement which in turn is
provided with a magnetic shielding to eliminate any extraneous interference.
Theoretical consideration in respect of the present invention and the drawings
accompanying these specifications are referred to hereinafter for illustrating the invention.
Let us consider a fluid of density 'p' flowing with a velocity V through a semi-circular
cylindrical pipe of radius r and cross-section 'A' placed in a vertical plane as shown in Fig. 1 of
the accompanying drawings.

Let us consider an elementary length ds=rd8of the circular pipe at an angle 0 from the
horizontal X-axis as shown in Fig.1 of the drawings. The centrifugal force by this element acting
radially outwards is given by

In order to measure this force and reduce the effect of turbulence, the two ends of the
above semicircular pipe line section are extended in the form of the straight long vertical pipe
line sections so that the sensor takes the form of a vertical U-tube section as shown in Fig. 2 of
the drawings. This U-tube is connected with the main pipeline through metallic or non-metallic
bellows junctions and rests on the pan at one end of the beam of a common balance as shown in
this figure. At no flow condition of the fluid, the beam is made horizontal by placing fixed dead
weights on the weighing pan at the other end. The end carrying the U-tube section is rigidly
attached with the soft iron core of an inductive pick-up coil as shown therein.

When the liquid flows through this U-tube section via the bellows junction, the upper
straight part of the U-tube reduces the turbulence of the liquid and the lower semicircular part
senses the centrifugal force produced by the fluid. So when the fluid flows, the end of the beam
of the common balance carrying the U-tube section moves downwards along with the core of the
inductive pickup coil by the action of the centrifugal force as shown in equation no. (6).The
pickup coil consists of two parallel magnetic paths which decreases the effective reluctance and
hence increases the sensitivity of the coil. This pickup coil is connected to one of the ratio arms
of a Maxwell's bridge circuit as shown in Fig. 3 of the drawings, whereas the other end of the
ratio arms consists of identical dummy inductance coil so that at no flow condition of the fluid,
the bridge is almost at balanced condition when the resistances in the other ratio arms are
identical.
From the construction of the pickup coil as shown in Fig.2 of the drawings, it is found
that the coil along with its movable core has two parallel magnetic reluctance paths like a shell
type transformer. The effective reluctance 'R' of this magnetic circuit is given by

where x1=x0+Δx,µ=reIative permeability of the movable core material, µ1=relative
permeability of iron frame material, A=effective area of the movable core, Ai=effective area of
the magnetic path in the frame material, Ll=effective length of the magnetic path in the frame at
one side, d=length of the small air gap between the core and the frame, X0=length of the core at
no flow condition inside the pickup coil and Δx = displacement of the core U-tube due to the
centrifugal force produced by the flow.
Hence a fluid flow rate 'Q, the effective magnetic reluctance of the coil can be written as

where, K1 and K2 are constants given by



where n is the number of turns of the coil.
Since L»Δx, so from eqns. (9) and (10), K1»K2 Δx. Hence the above equation is
reduced to

where Lx0=n2/K1 is the inductance of the pickup coil at no flow condition and ΔLx
=n2K2Δx/K12 is the change in inductance of this coil due to the fluid flow through the pipeline.
From Fig. 3 of the drawings the bridge output voltage Eo for sinusoidal supply voltage Vs is
given by

Now the bridge is balanced at no flow condition when the beam of the common balance
is horizontal so that R2LX0=R1L0. Hence putting this condition in the above equation, the bridge
output at flow condition of the fluid is given by

Now the displacement Ax of the core is due to the centrifugal force (Fy) only. Since the
beam of the balance is initially made horizontal at no flow condition of the fluid and the
centrifugal force due to the flowing liquid is generally small, so the displacement Ax of the core
may be assumed to be directly proportional to the centrifugal force (Fy).

where K3 is the constant of proportionality. Combining the foregoing eqn. nos. (6), (15)
and (16) one would arrive at -

Hence for a given fluid the bridge output will have almost a parabolic relation with the fluid flow
rate (Q)

As mentioned earlier, the invention is illustrated by the accompanying drawings, wherein
Fig. 1 represents semicircular pipe line section;
Fig. 2 shows a centrifugal force type flow transducer is fully assembled form;
Fig. 3 shows the Maxwell's bridge circuit for sensing displacement of the flow-sensing U-tube
section;
Fig. 4 depicts the experimental set-up for testing this proposed flow sensor in the form of a
flow-chart;
Fig. 5 is the static characteristic graph of the proposed flow sensor and
Fig. 6 shows the percentage deviation graph from best fit static characteristic of the flow sensor.
The subject invention will now be further described in specific details by means of the
undernoted working example which is given by way of illustration and not by way of limitation.
Example
The flow sensor of the subject invention has been designed and fabricated by using a
common pan balance and a U-tube flow sensor made from 12mm (0.5 inch) dia PVC tube. The
lower semi-circular part of the U-tube has a mean diameter of around 100mm and length of the
vertical parts of the U-tube is around 250mm. This U-tube is connected with the main 25mm (1")
dia. water supply line through bellows usually made of metal, as illustrated in Fig. 2 of the
drawings. The U- tube is placed vertically on one of the weighing pans at one end of the beam of
a common balance and on the other pan suitable weights are placed so that the beam is horizontal
when there is no flow of water through the U-tube which is filled with water at rest. Under this
condition the soft iron core attached to the bottom of the pan carrying U-tube assumes a
particular position inside the inductive pick-up coil upto a length X0, as shown in Fig. 2 of the
drawings. Next values of resistance R1 and R2 in the ratio arm of the Maxwell's bridge as shown
in Fig. 3 of the drawings are adjusted until the bridge output is minimum. The bridge output is
measured with the help of a multimeter and a cathode ray oscillograph (CRO) as the detector.
The foregoing experimental setup has been illustrated in the form of a sequential flow-
sheet diagram in Fig. 4 of the drawings. In the aforesaid experimental set-up, an overhead water
tank is maintained at a constant level by ensuring that the rate of inflow is greater than the
exhaust rate of water. Water from this tank is allowed to flow into the U-tube sensor through a

valve, usually operated manually. Flow through the U-tube is changed in steps of increasing and
decreasing modes, and at each step the bridge output is measured. The flow rate is monitored by
direct water collection procedure, and results obtained are found to be reproducible and identical
The bridge output voltage has been plotted against flow, giving rise to a parabolic static
characteristic graph as shown in Fig. 5 of the drawings. The percentage deviation of the
experimental data from the best-fit prabolie characteristics has been calculated, a plot of which
is shown in Fig. 6 of the drawings.
The static characteristic graph of the flow sensor of the present invention as shown in Fig.
5 of the drawings has a parabolic nature, which substantially follows and conforms to equation
(17} given above. In the course of increasing and decreasing modes of experiments, identical
results were obtained for the same flow rate, and this establishes a satisfactory repeatability of
the flow sensor. The non-linear characteristic graph can be easily lenearised by using
microprocessor or PC-based linearization technique developed by the Applicant and his co-
workers.
Advantages:
(i) Construction of the transducer is very simple, and measurements involve no contact
with the process fluid,
(ii) Fabrication of the equipment or part(s) thereof can be done by using material(s) and
machineries available indigenously, resulting in a very cost-effective, user-friendly
transducer, particularly when compared with the existing sophisticated flow meters
like coriolis-flow meter, vortex flow meter etc.
(iii) Use of bellows element is another unique feature of the invention, selection of which
may be conveniently varied, depending on the pressure of the fluid material flowing
through the sensor;
(iv) Compactness of the transducer may be further enhanced by using a compact lever
system in lieu of the common pan balance;
(v) From equation (6) given earlier, it follows that the sensitivity of the sensor increases
with the reduction of the cross-sectional area (A) of the sensing pipe. Hence to
measure flow rate in large diameter pipeline, a flow sensor of very small cross-section
may be used in a by-pass line of the main pipe line and a suitable correction factor

may be applied for the flow rate measurement in a large pipe line, which is further
evidence of the versatility of the transducer of the present invention.
As the present invention may be embodied in several forms without departing or
deviating from the spirit and/or essential characteristics thereof, it should also be understood that
the above-described example is not limited by any of the details of the foregoing description,
unless otherwise specified, bat rather should be construed broadly within its spirit and scope as
defined in the appended claims and, therefore, all changes and modifications that fall within the
meets and bounds of the claims, or equivalences of such meets and bounds are therefore intended
to be embraced by the appended claims.

I claim:
1. A fluid flow sensor using centrifugal force type flow transducer, comprising:
(a) a common balance swinging on a fulcrum (1) and having an weighing tray (2) and
a second tray (3) for placing weights;
(b) a hollow u-tube (4) carrying bellows (5) on the upper parts of both limbs and
having two bent portions serving as inlet (6) and outlet (7) for the fluid flowing
through it;
(c) a soft iron core (8) attached to one of the pans (2) and capable of executing
vertical movement in the upward or downward direction through an opening
provided in the upper surface of an inductive pick-up coil in the form of a
receptacle;
(d) the said receptacle-form inductive pick-up coil (9) surrounding the soft iron body
(8) is placed inside a laminated core (10) around the said pick-up coil (9), which
carries lead wires (11) for attachment with a Maxwell's bridge arrangement, and
said laminated core in turn is provided with a magnetic shielding (12) to eliminate
any extraneous interference.

2. A fluid flow sensor as claimed in Claim 1, wherein the U-tube of the sensor (4) is
placed vertically, on one of the weighing pans (2) at one end of the beam of a common
balance and dead weights are placed on the other pan (3) to make the beam horizontal
when there is no flow of water through the said U-tube filled with water.
3. A fluid flow sensor as claimed in Claims 1 and 2, wherein a fluid flowing through the
semi-circular pipeline section (4) produces a centrifugal force due to the circular
motion of the fluid acting in a vertically downward direction, which force is utilized
to produce displacement of the soft iron core (8) of inductive pick-up coil (9), thereby
changing the inductance of the pick-up coil and output of this bridge network of a
Maxwell's bridge circuit.
4. A fluid flow sensor as claimed in Claims 1 to 3, wherein the pick-up coil (9) consists
of two parallel magnetic paths and is connected to one of the ratio arms of a
Maxwell's bridge circuit, whereas the other ratio arm carries an identical dummy
inductance coil.
5. A fluid flew sensor as claimed in any of the preceding claims, wherein the U-tube (4)
is formed from 12mm (0.5") dia PVC.
6. A fluid flow sensor as claimed in Claim 1-5, wherein the bridge output voltage is
measured by using a 4.5 or 5.5 digit multimeter and cathode ray oscillograph (CRO)
as the detector.

7. A fluid flow sensor using centrifugal force type flow transduce, substantially as
hereinbefore described and illustrated with reference to the accompanying drawings.

ABSTRACT

No. 1040/KOL/2005 Filed on - 21. 11. 2005
Title - "A fluid flow sensor using centrifugal force type flow transducer"
This invention relates to a low-cost, user-friendly fluid flow sensor
using centrifugal force type flow transducer, comprising:
(a) a common balance swinging on a fulcrum (1) and having an weighing
tray (2) and a second tray (3) for placing weights;
(b) a hollow u-tube (4) carrying bellows (5) on the upper parts of both
limbs and having two bent portions serving as inlet (6) and outlet (7)
for the fluid flowing through it;
(c) a soft iron core (8) attached to one of the pans (2) and capable of
executing vertical movement in the upward or downward direction
through an opening provided in the upper surface of an inductive
pick-up coil (9) in the form of a receptacle placed inside a laminated
core (10) around the said pick-up coil, carrying lead wires (11) for
attachment with a Maxwell's bridge arrangement, and said core (10)
has a magnetic shielding (12).
Figs. 2 and 4 of the drawings illustrate the invention.

Documents:

1040-KOL-2005-(11-11-2011)-ABSTRACT.pdf

1040-KOL-2005-(11-11-2011)-AMANDED CLAIMS.pdf

1040-KOL-2005-(11-11-2011)-CORRESPONDENCE.pdf

1040-KOL-2005-(11-11-2011)-DESCRIPTION (COMPLETE).pdf

1040-KOL-2005-(11-11-2011)-FORM 1.pdf

1040-KOL-2005-(11-11-2011)-FORM 13.pdf

1040-KOL-2005-(11-11-2011)-FORM 2.pdf

1040-kol-2005-abstract.pdf

1040-kol-2005-claims.pdf

1040-KOL-2005-CORRESPONDENCE 1.2.pdf

1040-KOL-2005-CORRESPONDENCE 1.3.pdf

1040-KOL-2005-CORRESPONDENCE-1.1.pdf

1040-kol-2005-correspondence.pdf

1040-kol-2005-description (complete).pdf

1040-kol-2005-drawings.pdf

1040-KOL-2005-EXAMINATION REPORT.pdf

1040-kol-2005-form 1.pdf

1040-KOL-2005-FORM 13.pdf

1040-kol-2005-form 18.pdf

1040-kol-2005-form 2.pdf

1040-kol-2005-form 3.pdf

1040-KOL-2005-GRANTED-ABSTRACT.pdf

1040-KOL-2005-GRANTED-CLAIMS.pdf

1040-KOL-2005-GRANTED-DESCRIPTION (COMPLETE).pdf

1040-KOL-2005-GRANTED-DRAWINGS.pdf

1040-KOL-2005-GRANTED-FORM 1.pdf

1040-KOL-2005-GRANTED-FORM 2.pdf

1040-KOL-2005-GRANTED-SPECIFICATION.pdf

1040-KOL-2005-OTHERS 1.1.pdf

1040-KOL-2005-OTHERS 1.2.pdf

1040-kol-2005-pa.pdf

1040-KOL-2005-REPLY TO EXAMINATION REPORT 1.1.pdf

1040-kol-2005-reply to examination report.pdf

1040-kol-2005-specification.pdf


Patent Number 253790
Indian Patent Application Number 1040/KOL/2005
PG Journal Number 35/2012
Publication Date 31-Aug-2012
Grant Date 24-Aug-2012
Date of Filing 21-Nov-2005
Name of Patentee BERA, DR. SATISH CHANDRA
Applicant Address INSTRUMENTATION ENGINEERING SECTION DEPARTMENTOF APPLIED PHYSICS UNIVERSITY OF CALCATTA 92, ACHARYA PRAFULLA CHANDRA ROAD KOLKATA-700 009
Inventors:
# Inventor's Name Inventor's Address
1 BERA, DR. SATISH CHANDRA INSTRUMENTATION ENGINEERING SECTION DEPARTMENTOF APPLIED PHYSICS UNIVERSITY OF CALCATTA 92, ACHARYA PRAFULLA CHANDRA ROAD KOLKATA-700 009
PCT International Classification Number G01G 19/00
PCT International Application Number N/A
PCT International Filing date
PCT Conventions:
# PCT Application Number Date of Convention Priority Country
1 NA