TUF's flow equation can be divided into two types: practical flow equation and theoretical flow equation.
How do you calculate turbine flow meter factor /coefficient?
The turbine flow meter factor is related to the flow rate (or pipeline Reynolds number)The turbine flow meter factor is related to the flow rate (or pipeline Reynolds number)
The relationship curve of the instrument coefficient is shown in below figure. As can be seen from the figure, the flow measurement instrument coefficient can be divided into two sections, namely the linear section and the nonlinear section.
The linear segment is about two-thirds of its working segment, and its characteristics are related to the TUF flow sensor structure size and fluid viscosity.
The characteristics of the flow measurement instrument factor are greatly affected by bearing friction and fluid viscosity resistance when the flow rate is lower than the lower limit of the sensor flow rate,
As the flow rate changes rapidly, the pressure loss is approximately in a square relationship with the flow rate. When the flow rate exceeds the upper limit, be careful of cavity.
The shapes of the TUF characteristic curves with similar structures are similar, and they differ only in the level of systematic error.
Turbine flow meter characteristic curve
The turbine flow sensor factor is verified
by the flow calibration device. It completely ignores the flow mechanism of the
fluid inside the sensor. It treats the sensor as a black box and determines its
conversion coefficient based on the input (flow rate) and output (frequency
pulse signal). It is convenient practical application. However, it should be
noted that this conversion coefficient (instrument coefficient) is conditional,
and its calibration conditions are reference conditions. If it deviates from
this conditional coefficient during use, the coefficient will change. The
change depends on the turbine flow sensor type, pipeline installation
conditions and fluid physical parameters.
Scholars at China and abroad have proposed
many theoretical flow equations, which are applicable to various turbine flow sensor
structures and fluid working conditions. To date, the hydrodynamic
characteristics of turbine flow meter characteristics are still not very clear,
and they have a complex relationship with fluid physical properties and flow
characteristics. For example, when the flow field has vortices and asymmetric
velocity distribution, the hydrodynamic characteristics are very complex. The Turbine
flow meter facotr cannot be derived by theoretical formula, and the turbine
flow transmitter coefficient still needs to be determined by actual flow
verification. However, the theoretical flow equation has great practical significance.
It can be used to guide the design of sensor structure parameters and the
prediction and estimation of the law of instrument coefficient changes when the
field use conditions change.
Advantages and disadvantages of turbine flow meter
1) High accuracy flow meter: for liquids flow measurement, TUF flowmeter is generally with accuracy of ±0.25%R~±0.5%R, and the high-precision type turbine flow meter can reach ±0.15%R; and for gas flow measurement, the turbine flow meter accuracy is generally ±1%R~±1.5%R, and the special type is ±0.5%R~±1%R. it is quite highly accurate flow meters among all the flow meters.
High accuracy electronic Turbine flow meter from Silver Automation Instruments
2) Good repeatability, short-term repeatability can reach 0.05%~0.2%. Due to its good repeatability, if turbine flow meter is calibrated frequently or online, it can achieve extremely high accuracy.
3) Electronic turbine flow meter: output pulse frequency signal or 4-20mA output, suitable for total quantity measurement and connection with computer, without zero drift and has strong anti-interference ability.
4) Very high frequency signals (3~4kHz) can be obtained with strong signal resolution.
5) Wide range, medium and large diameter turbine flow meter can reach 40:1~10:1, small diameter is 6:1 or 5:1.
6) Turbine flow sensor has compact and lightweight structure, easy installation and maintenance, and large flow capacity.
7) Turbine flow meter is suitable for high-pressure flow measurement, no holes need to be opened on the instrument body, and it is easy to make a high-pressure style flow measurement instrument.
8) There are many types of special turbine flow sensors, which can be designed into various special sensors according to the special needs of users, such as
small flow meters, high pressure type flow meters, tri-clamp connection turbine flow meter, high temperature turbine flow meters, etc.
9) It is difficult to maintain the calibration characteristics for a long time and regular calibration is required. For non-lubricating liquids, the liquid contains suspended matter.The abrasiveness of the flowmeter may cause bearing wear and jamming, which limits its application range. The use of wear-resistant carbide shafts and bearings has improved the situation. For trade storage and transportation and high-precision measurement requirements, it is best to equip on-site calibration equipment, which can be calibrated regularly to maintain its characteristics.
10) General liquid turbine flow meter is not suitable for high viscosity media (such as for honey, bitumen or resin flow measurement). As the viscosity increases, the flowmeter lower limit of measurement increases, the range decreases, and the linearity deteriorates.
11) Fluid properties (density, viscosity) have a great influence on flow measurement instrument characteristics. Gas flow meters are easily affected by density, while liquid flow meters are sensitive to changes in viscosity. Since density and viscosity are closely related to temperature and pressure, temperature and pressure fluctuations are inevitable on site. Compensation measures must be taken according to the degree of their impact on accuracy in order to maintain turbine flow meter high metering accuracy.
12) The flow meter is greatly affected by the velocity distribution distortion and rotational flow of the incoming flow. A longer straight pipe section is required on the upstream and downstream sides of the TUF flow sensor. If the installation space is limited, a flow regulator (rectifier) can be installed to shorten the length of the straight pipe section.
13) Not suitable for the flow rate measurement of pulsating flow and mixed flow.
14) The cleanliness requirement for the measured medium is high, which limits its application field. As we all know liquid turbine flow meter only work on clean and low viscosity liquid. Although filters can be installed to adapt to dirty media, it also brings side effects such as increased pressure loss and increased maintenance.
Turbine flow meter types
1) Liquid turbine flow meter
a. Normal type Liquid turbine flow meter is suitable for measuring the volume flow of low viscosity (≤45mPa・s) liquids, with a nominal diameter of DN4~DN300, an accuracy level of 0.25~0.5% , medium temperature of -20~+150℃, and a pressure of 6.3MPa
b. Corrosion-resistant type: Suitable for corrosive fluids such as dilute sulfuric acid, dilute hydrochloric acid, dilute nitric acid, etc., generally only small-diameter products (DN20~DN50).
c. High temperature type: Applicable to liquid temperature below 150℃. The temperature of the measured liquid is limited by the temperature resistance of the detection coil.
d. Tri-clamp type turbine flow meter for hygienic purpose. It can be used to measure drinking water, editable oil, and milk. All stainless steel material turbine flow meter is with tri-clover connection for easy install and easy cleaning.
Tri-clamp electronic turbine flow meter for hygienic purpose from Silver Automation Instruments
e. High pressure type turbine flow meter. Turbine flow meter can be made into high pressure type to bear such as 1000psi, 2000 psi or even higher . Wafer connection type turbine flow meter can be easily made into high pressure type turbine flow meter.
High pressure type digital turbine flow meter
2) Gas turbine flow meter
Gas turbine flow meter measures the flow of clean gas, with a nominal diameter of DN25 ~ DN400, a fluid temperature of -20 ~ +120℃, a pressure of 2.5 ~ 10MPa, and an accuracy level of 1% or 1.5%.
The gas type turbine flow meter is suitable for petroleum gas, artificial gas, natural gas and liquefied petroleum gas, air, N2, CO2, etc. Automatic oilers can be used to lubricate and protect bearings, prevent impurities from entering moving parts, and increase service life. Most of the structures use digital local display devices, and turbine flow transmitter can also be used to output high-resolution pulse signals or 4-20mA or even with HART protocol or MODBUS .
Gas turbine flow meter with automatic oilers to lubricate and protect bearings
Turbine flow sensor
structure
The
TUF sensor consists of a meter body, a guide body (deflector), an impeller, a
shaft, a bearing and a signal detector
1) Turbine flowmeter body: The meter body is the main part of the sensor, which bears the pressure of the measured fluid, fixes the detection components, and connects the pipeline. The meter body is made of non-magnetic stainless steel or hard aluminum alloy. For large-caliber flow sensors, a mosaic structure composed of carbon steel and stainless steel can also be used, and the signal detector is installed on the outer wall of the meter body.
2) Guide body: The guide body is installed at the inlet and outlet of the flow sensor. It guides and rectifies the fluid and supports the impeller. It is usually made of non-magnetic stainless steel or hard aluminum. The rear guide of the reverse thrust turbine flow sensor is also required to generate sufficient reverse thrust, and its structural forms are many. The front guide has a patented product that can resist severe interference with fluid flow.
3) The turbine, also known as the impeller, is the sensor's detection element and is made of highly magnetically permeable materials. Impellers include straight blades, spiral blades, and T-shaped blades. A porous shield ring embedded with many magnetic conductors can also be used to increase the frequency of a certain number of blades. The impeller is supported by a bearing in the bracket and is coaxial with the meter body. The number of its blades depends on the size of the caliber. The geometric shape and size of the impeller have a great influence on the performance of the sensor. It should be designed according to the fluid properties, flow range, and usage requirements. The dynamic balance of the impeller is very important and directly affects the performance and service life of the flow measurement instrument.
The impeller of the turbine flowmeter
4) Shaft and bearings: They support the impeller to rotate and must have sufficient rigidity, strength, hardness, wear resistance, corrosion resistance, etc. They determine the reliability and service life of the turbine flow sensor. Sensor failure is usually caused by the shaft and bearings, so its structure, material selection and maintenance are very important.
5) Signal detectors are commonly used in China. They are composed of permanent magnets, magnetic rods (iron cores), coils, etc. Permanent magnets have an attractive force on the blades, generating magnetic resistance torque. When the flow rate is small for small-diameter turbine flow sensors, the magnetic resistance torque becomes the main item among the resistance torques. For this reason, permanent magnets are divided into two specifications, large and small. Small-diameter sensors are equipped with small specifications to reduce the magnetic resistance torque. Output signals with an effective value of more than 10mV can be directly used with flow computers, and when equipped with amplifiers, they can output volt-level frequency signals.
Accuracy of turbine flow
meter
Generally speaking, turbine flow meter is
chosen mainly for its high accuracy still at low price cost. At present, the
accuracy of TUF turbine flow meter is roughly as follows: for liquids
measurement turbine flow meter, the international market is ±0.5%R and ±1%R,
for gas flow measurement devcie, is ±1%R and ±1.5%R. The above accuracy refers
to the range of 6:1 or 10:1. Typical parameters of turbine flow sensors from
Silver Automation Instruments are shown in below table. In addition to being
related to the quality of the product itself, accuracy is also closely related
to the conditions of use.
If the range is narrowed, the accuracy can
be improved; especially for standard flow meters used as standard flow standard
devices, if used at fixed points, the accuracy can be greatly improved.
The higher the accuracy of the flow meter,
the more sensitive it is to changes in the on-site conditions. In order to
maintain its high accuracy, special processing of the instrument coefficient is
required. One processing method is the so-called instrument coefficient
floating processing method. That is, the following on-site conditions are
processed in real time: a) viscosity is affected by temperature; b) density is
affected by pressure and temperature; c) sensor signal redundancy (a sensor
outputs two signals, and their ratio is monitored); d) long-term stability of
the coefficient (determined by a control chart), etc.
For trade storage and transportation
handover measurement, online verification devices are often equipped to
facilitate regular verification.
The instrument accuracy listed in the turbine
flow meter manufacturer's instruction manual is the basic error. The additional
error should be estimated on site, and the on-site error should be the
combination of the two.
Selection of flow range of turbine flow meter
The selection of the flow range of turbine
flow meter has a great influence on its accuracy and service life. Generally,
the speed corresponding to the maximum flow during operation should not be too
high. The use conditions are divided into continuous flow measurement operation
and intermittent flow measurement operation. Continuous operation means that
the working time exceeds 8 hours per day, and intermittent operation means that
the working time is less than 8 hours per day. For continuous operation, the
maximum flow should be selected at the lower limit of the flow instrument's
upper limit flow, while for intermittent operation; turbine flow sensor can be
selected at the higher limit. Generally, for continuous flow measurement, the
actual maximum flow is multiplied by 1.4 as the upper limit flow of the flow
range, while for intermittent operation, it is multiplied by 1.3.
If the diameter of the turbine flow sensor
is inconsistent with the diameter of the process pipeline, the pipeline should
be modified with a reducer and an equal-diameter straight pipe.
For process pipelines with low flow rates,
the minimum flow rate becomes the first issue to be considered when selecting
the turbine flow sensor size. Usually, the actual minimum flow rate multiplied
by 0.8 is used as the lower limit flow rate of the flow range, leaving a
certain margin. If the turbine flow transmitter is equipped with a segmented
linearization function, when the sensor flow lower limit value cannot meet the
actual minimum flow rate, the turbine flow meter manufacturer should be
required to perform flow calibration at the actual minimum flow rate and its
vicinity, and input the measured instrument coefficient into the turbine flow
transmitter, so that the flow lower limit value of the instrument can be
reduced while maintaining the measurement accuracy.
Flow meter accuracy level
for different applications
The requirements for the accuracy level of
the instrument should be cautious and should be considered from an economic
perspective. For example, the trade settlement instrument for large-diameter
oil (gas) pipelines is of great economic significance, and it is cost-effective
to invest more in the instrument. As for the small transmission volume or
process control, only a medium level of accuracy is required, and high accuracy
should not be blindly pursued. The intrinsically safe explosion-proof sensor is
compatible with the safety barrier model and manufacturer, and the
explosion-proof level and approval number are checked. If you want to display
mass flow (or volume flow under standard conditions), you need to select a
pressure, temperature sensor or density meter or choose mass flow meter directly. The turbine flow meter display instrument
is now included in the flow computer based on a microprocessor that can
communicate with the host computer. The instrument is far superior to the old
turbine flow display in terms of instrument functions and applicable scope. At
present, all types of flow meters used as trade measurement tend to be equipped
with direct reading display devices. Not only is there a display of total
measurement, but a compensator (a fully functional flow computer) can also be
added to output remote transmission signals.
What fluids can be measured by turbine flow
meter?
Turbine flow meter requires that the fluid
must be clean (or basically clean), single-phase and low-viscosity. Examples of
commonly used fluids are as follows: including turbine flow meter for water,
diesel, air, oxygen, high-pressure hydrogen, milk, coffee, etc.;
petrochemicals: gasoline, light oil, jet fuel, light diesel, naphtha, ethylene,
polyethylene, styrene, liquefied gas, carbon dioxide and natural gas; chemical
solutions: amethanol, , etc.; organic liquids: alcohol, ether, benzene,
toluene, xylene, butadiene, carbon tetrachloride, methylamine, acrylonitrile,
etc.; inorganic liquids: formaldehyde, acetic acid, etc. For corrosive media,
attention should be paid to the selection of materials used. It is not
recommended to use media with many impurities or abrasive media.
Turbine flow meter requirements
for liquid viscosity
Liquid turbine flow meter is a viscosity-sensitive
flowmeter. Below Figures show the relationship between the viscosity and the
instrument coefficient of the straight blade and spiral blade TUF liquids,
respectively. It can be seen from the figure that when the fluid viscosity
increases, the linear region of the instrument coefficient becomes narrower and
the lower limit flow rate becomes smaller.
Straight blade turbine flow meter coefficient and viscosity relation
Spiral
blade turbine flow meter coefficient and viscosity relation
For liquids, water is usually used to
calibrate the turbine flow sensor. When the accuracy is 0.5, it can be used for
liquids below 5×10-6mm²/s without considering the effect of viscosity. When the
fluid viscosity is higher than 5×10-6mm²/s, it can be calibrated with a fluid
of equivalent viscosity without making viscosity corrections. In addition, some
measures can be taken to compensate for the effect of viscosity, such as
narrowing the range of use, increasing the flow rate lower limit, or
multiplying the instrument coefficient by the Reynolds number correction
coefficient, etc.
The influence of viscosity on the
instrument coefficient is related to the sensor structure type and parameters,
aperture size, etc. There are several ways to express the effect of viscosity
on the instrument coefficient: the relationship between the instrument
coefficient and the Reynolds number, the relationship between the instrument
coefficient and the output frequency at several viscosities and the
relationship between the instrument coefficient and the ratio of the output
frequency divided by the kinematic viscosity And so on. Some turbine flow meter
manufacturers have this information, but not all manufacturers have it.
In the application of petroleum industry,
TUF has been promoted and used because of some characteristics compared with
volumetric flowmeter.
The main features are light weight, simple
and compact structure, large flow capacity, easy maintenance, tolerance of some
impurities without blocking the flow channel, and superior safety. As early as
the 1960s, the North Sea Oilfield in the United Kingdom used TUF for crude oil
measurement, and Japan's Tokiko also launched a wide viscosity Porter type TUF
for heavy oil measurement.
Requirements for gas density for gas turbine flow meter
Gas turbine flow meter mainly considers the influence of fluid density on instrument factor. The influence of density is mainly in the low flow area, as shown in below Figure. The increase of density (i.e. pressure increase) makes the straight line part of the characteristic curve expand to the lower limit flow area, the range of the sensor is expanded, and the linearity is improved. If the gas turbine flow meter is calibrated in air at normal pressure, the working pressure of the measured medium is different during use, and its lower limit flow is calculated by the following formula
Where qVminand qVaminare The lower limit of the volume flow rate of the measured medium and air under pressure p and pressure pa (101.325kPa) respectively, m³/h;
P. Pa- working pressure (absolute pressure) and atmospheric pressure (101.325 kPa), kPa;
d - Relative density of the measured medium, dimensionless.
Gas pressure and factor error relation
Conversion of volume flow
to mass flow
Turbine flow meter measures the actual
volume flow. Whether it is material balance or energy measurement, it is
necessary to measure the mass flow (i.e. standard flow). The volume flow rate
under this condition) should be converted by the following formula:
In the formula
qv,qvn – volume flow under operation
pressure and standard pressure , m3/h
P,T,Z-Under operation condition absolute
pressure(Pa), thermodynamic temperature (K) and gas compressibility coefficient
Pn,Tn,Zn- are respectively the absolute
pressure (Pa), thermodynamic temperature (K) and gas compressibility
coefficient under standard conditions.
Application which turbine flow meter is not suitable
Fluids with many impurities, such as circulating cooling water, river water, sewage, fuel oil, etc.; places with rapid changes in flow, such as boiler water supply system, air supply system with air hammer, etc.; when measuring liquids, the pipeline pressure is not high and the flow is large, the pressure on the downstream side of the instrument may be close to the saturated vapor pressure, and there is a risk of cavitation. For example, liquid ammonia can flow freely from the high-level tank, so it is not suitable to be installed at the discharge port; near electric welding machines, motors, relays with contacts, etc., there are serious electromagnetic interference places; the length of the upstream and downstream straight pipe sections is seriously insufficient, such as in the engine room of a ship; if the boiler automatic water supply system frequently starts and stops the pump, it will cause impact on the impeller and quickly damage the sensor; when selecting corrosive or abrasive media, you should be cautious and contact the manufacturer for consultation
Cost when you select turbine flow meter
When choosing TUF for high-precision applications, the economic factors should be considered from many aspects. The purchase cost of the turbine flow meter is only part of the cost. The following expenses should also be considered: the cost of auxiliary equipment for installation (such as eliminators, filters, etc.) or bypass branches including valves, etc.; the cost of calibration, in order to maintain high accuracy, it must be calibrated frequently, and even a set of online calibration equipment must be installed on site, which costs a considerable amount; the cost of maintenance, which is used to replace the wearing parts of TUF, which is necessary to maintain high performance.
Steps to choose turbine flow meter
1) Confirm what kind of fluids you will measure?
2) Select the turbine flow meter type. Select according to the physical properties of the fluid. For gas and liquid, use the gas type turbine flow meter and liquid type turbine flow meter respectively. They cannot be used interchangeably. If the viscosity of the liquid exceeds 5mPa•s under working conditions, a high viscosity type should be selected. For acidic corrosive fluids, use the acid-resistant type.
Choose according to environmental conditions, select appropriate instruments according to ambient temperature and humidity, etc. If there is an explosive or flammable atmosphere around, an explosion-proof sensor should be selected.
According to the pipe connection method, the turbine flow sensor can be installed horizontally or vertically. When installed horizontally, the pipe connection methods include flange connection, threaded connection and clamp connection. Flange connection is used for medium-caliber pipes, threaded connection is used for small-size turbine flow meter and high-pressure pipes, and clamp connection is only suitable for low-pressure and small-diameter pipes.
3) Select specifications. According to the on-site use conditions, such as flow range, pipe diameter, fluid pressure and temperature, installation location, etc. and performance requirements, such as accuracy, repeatability, display mode, etc., refer to the turbine flow meter manufacturer's selection sample or instruction manual to select specific specifications and models. You can contact Silver Automation Instruments to get the turbine flow meter specifications. It is also possible that no suitable flow meter can be found and other flow meters have to be selected.
Since there are many types and specifications of TUF, especially the differences in product quality among different turbine flow meter manufacturers, it is necessary to collect as much information as possible on manufacturers and relevant standards, conduct repeated investigations and comparisons before making a decision.
Installation Precautions
Installation place
The turbine flow sensor should be installed in a place that is easy to maintain and where the pipeline is free from vibration, strong electromagnetic interference and thermal radiation. TUF is sensitive to the flow velocity distribution distortion and rotational flow in the pipeline. The flow entering the sensor should be fully developed. Therefore, it is necessary to equip the necessary straight pipe section or flow regulator according to the type of upstream flow blocker of the sensor 2. If the upstream flow blocker situation is unclear, it is generally recommended that the upstream straight pipe section length is not less than 20D and the downstream straight pipe section length is not less than 5D. If the installation space cannot meet the above requirements, a flow regulator can be installed between the flow blocker and the sensor. When installing, measures should be taken to avoid direct sunlight and rain.
Flow Direction
All SILVER turbine flow meters are designed to measure flow in only one direction.
The direction is indicated by the arrow on the body.
Required Lengths of Straight Runs for turbine flow meter
Flow altering device such as elbows, valves and reducers can affect accuracy. See below diagram for typical flow meter system installation.
The recommended guidelines are given to enhance accuracy and maximize performance. Distance given here are minimum requirements; double them for desired straight pipe lengths.
Upstream: allow a minimum straight pipe length at least 10 times the internal diameter of the pipe. For example, with the 50mm pipe, there should be 500mm of straight pipe immediately upstream. Desired upstream straight pipe length is 1000mm.
Downstream: allow a minimum straight pipe length at least 5 times the internal diameter of the pipe. For example, with the 50mm pipe, there should be 250mm of straight pipe immediately upstream. Desired upstream straight pipe length is 500mm.
See below diagram for straight pipe length requirement when there is altering device.
Standards and verification
procedures
As one of the main flowmeters for trade
settlement in energy measurement, turbine flow meter attaches great importance
to the formulation of legal documents all over the world, because it is an
important basis for regulating the relationship between supply and demand. The
International Organization for Standardization (ISO) promulgates international
standards ISO 2715, ISO 9951, and the International Organization of Legal
Metrology (OIML) promulgates international recommendations R6, R32.
ISO 2715 is the specification for liquid
TUF measurement of liquid hydrocarbons. It stipulates the selection of flow
meters and auxiliary equipment, flow conditions, pipeline installation and
electrical connections, as well as flow meter performance, use and maintenance.
ISO 9951 is the international TUF standard
for gas, which specifies the instrument structure, pressure test, flowmeter
characteristics, reading device, field calibration, pressure loss, pipe section
installation requirements, etc. In particular, to meet the needs of field
installation, the flowmeter is required to be installed without a long straight
pipe section under severe flow disturbance, which places extremely high
requirements on the performance of the flowmeter product, which is relatively
rare among flowmeters.
OIML R6, R32 are international
recommendations for gas TUF. From the perspective of measuring instruments, in
addition to general flow meter structure and performance regulations, they also
make clear provisions for type approval, initial calibration, and subsequent
calibration.
The standards of developed industrial
countries such as API 2534, AGA NO7, JIS Z8765, JIS B7501, etc. on TUF are
summaries of many years of practical use. They are very practical and widely recognized
internationally.
China also attaches great importance to the
formulation of TUF standards and regulations. As early as the 1980s, the TUF
industry standard was promulgated. The standard stipulates terminology,
classification, technical requirements, test methods and inspection rules, and
introduces installation requirements, the influence of fluid temperature,
pressure and viscosity changes on instrument coefficients in the appendix. The
standard was revised in 1999. China promulgated the verification regulations in
the early 1980s, and it has been revised several times. In addition, TUF, as
the standard meter of the standard meter method flow standard device, has
formulated a special verification regulation.