CN114088335B - Constant flow field rapid measurement method based on forward and reverse continuous movement of pneumatic probe - Google Patents

Constant flow field rapid measurement method based on forward and reverse continuous movement of pneumatic probe Download PDF

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CN114088335B
CN114088335B CN202210029277.1A CN202210029277A CN114088335B CN 114088335 B CN114088335 B CN 114088335B CN 202210029277 A CN202210029277 A CN 202210029277A CN 114088335 B CN114088335 B CN 114088335B
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pneumatic probe
pressure data
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pressure
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CN114088335A (en
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陈�峰
马护生
黄康
任思源
魏巍
时培杰
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Institute of Aerospace Technology of China Aerodynamics Research and Development Center
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M9/00Aerodynamic testing; Arrangements in or on wind tunnels
    • G01M9/06Measuring arrangements specially adapted for aerodynamic testing
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L11/00Measuring steady or quasi-steady pressure of a fluid or a fluent solid material by means not provided for in group G01L7/00 or G01L9/00
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L27/00Testing or calibrating of apparatus for measuring fluid pressure
    • G01L27/002Calibrating, i.e. establishing true relation between transducer output value and value to be measured, zeroing, linearising or span error determination

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Abstract

The invention discloses a constant flow field rapid measurement method based on forward and reverse continuous movement of a pneumatic probe. The invention belongs to the technical field of pneumatic testing. The measuring method comprises the steps of obtaining two groups of pressure measurement data through forward and reverse continuous movement of a pneumatic probe, firstly carrying out low-pass filtering processing without phase deviation, then setting a coefficient of a transfer function of a pressure recurrence formula of a discrete system for correction, obtaining the two groups of corrected pressure measurement data, then utilizing continuous and synchronous collected pneumatic probe position information interpolation to obtain the corrected pressure measurement data at the same spatial position, and finally taking the average value of the forward corrected pressure measurement data and the reverse corrected pressure measurement data at the same spatial position as the final pressure measurement data of the pneumatic probe. The measuring method can remarkably improve the testing efficiency of the pneumatic parameters of the steady flow field of the pneumatic probe, reduce the testing cost, has no additional hardware equipment, is convenient to implement and has strong environmental adaptability.

Description

Constant flow field rapid measurement method based on forward and reverse continuous movement of pneumatic probe
Technical Field
The invention belongs to the technical field of pneumatic testing, and particularly relates to a constant flow field rapid measuring method based on forward and reverse continuous movement of a pneumatic probe.
Background
The standard pneumatic probe measuring system is composed of a pneumatic probe, a pressure measuring hose, a pressure sensor (a pressure scanning valve) and the like, and is generally used for measuring pneumatic parameters of a steady-state constant flow field. Because the lumen effect formed by the pneumatic probe and the pressure measuring hose can cause the lag of the variable pressure signal measured by the pressure sensor connected to the tail end of the pressure measuring hose, when the pneumatic probe is used for measuring the flow field parameters of different spatial positions, a discrete point measuring mode is usually adopted, namely after the pneumatic probe reaches a measuring point position, a certain time is needed to wait, and the pressure of the pressure pipeline to be measured is measured after reaching the balance. However, when the number of spatial measuring points required for measurement is large or the stabilization time of the pressure measuring pipeline is long, the measurement mode greatly increases the test measurement time.
Currently, a constant flow field rapid measurement method based on forward and reverse continuous movement of a pneumatic probe is urgently needed to be developed.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for quickly measuring a steady flow field based on forward and reverse continuous movement of a pneumatic probe.
The constant flow field rapid measurement method based on the forward and reverse continuous movement of the pneumatic probe obtains two groups of pressure measurement data through the forward and reverse continuous movement of the pneumatic probe to perform low-pass filtering processing without phase deviation. By setting
Figure 100002_DEST_PATH_IMAGE002
The coefficient of the transfer function of the order discrete system pressure recurrence formula can obtain two groups of corrected pressure measurement data after correction, and the two groups of corrected pressure measurement data can obtain the corrected pressure measurement data at the same spatial position by utilizing the position information interpolation of the pneumatic probe continuously and synchronously acquired. And taking the average value of the forward corrected pressure measurement data and the reverse corrected pressure measurement data of the same spatial position as the final corrected pressure measurement data of the pneumatic probe.
The invention discloses a method for rapidly measuring a steady flow field based on forward and reverse continuous movement of a pneumatic probe, which comprises the following steps of:
s10, if the dynamic characteristic parameters of the pressure transmission of the pneumatic probe pipeline system under the condition of the constant flow field are obtained, the step S100 is carried out, and if not, the step S20 is carried out;
s20, mounting a pneumatic probe on a displacement mechanism of the wind tunnel, wherein the pneumatic probe is connected with a pressure measuring hose, and the tail end of the pressure measuring hose is connected with a pressure signal measuring device; starting the wind tunnel, and after the flow field is stable, accelerating the displacement mechanism from rest to uniform speed along the positive direction and then decelerating to rest so that the pneumatic probe continuously moves from a starting point to an end point; then, the displacement mechanism accelerates from a static state to a uniform speed which is the same as the forward direction along the reverse direction and then decelerates to the static state, so that the pneumatic probe moves from the end point to the starting point; in the movement process, the data acquisition system synchronously acquires the position data and the measured pressure data of the pneumatic probe at the same sampling rate;
s30, performing low-pass filtering processing without phase deviation on the measured pressure data;
performing low-pass filtering processing without phase deviation on the measured pressure data obtained by the continuous movement of the pneumatic probe, and recording the processed measured pressure data sequence as
Figure DEST_PATH_IMAGE004
S40, establishing a corrected pressure data sequence according to the linear discrete system theory
Figure DEST_PATH_IMAGE006
The recurrence formula of (c) is as follows:
Figure DEST_PATH_IMAGE008
(1)
in the formula,
Figure DEST_PATH_IMAGE010
and
Figure DEST_PATH_IMAGE012
the subscript of (a) denotes the sequence number of the data sequence,
Figure 623867DEST_PATH_IMAGE002
in order to be the order of the system,
Figure 196800DEST_PATH_IMAGE002
taking out 3 or 4 of the raw materials,
Figure DEST_PATH_IMAGE014
Figure DEST_PATH_IMAGE016
the dynamic characteristic parameters of the pneumatic probe pipeline system are obtained;
Figure DEST_PATH_IMAGE018
Figure DEST_PATH_IMAGE020
in order to measure the amount of pressure data,
Figure DEST_PATH_IMAGE022
s50, setting dynamic characteristic parameters of the pneumatic probe pipeline system in the formula (1)
Figure 100002_DEST_PATH_IMAGE024
Figure 100002_DEST_PATH_IMAGE026
Estimating an initial value;
Figure 773275DEST_PATH_IMAGE014
Figure 965222DEST_PATH_IMAGE016
the estimated initial value is given according to the known dynamic parameters of the pipeline system, and meanwhile, as the input value of the pressure signal is equal to the output value when the pneumatic probe pipeline system is in a balanced state, namely when the frequency is 0, the gain value of the system is 1, the dynamic characteristic parameters also meet the following constraint relation:
Figure 100002_DEST_PATH_IMAGE028
(2)
s60, calculating according to a formula (1) to obtain corrected pressure data;
because the pneumatic probe is in a static state before starting to move, the pressure of the pipeline system is in a balanced state, and the measured pressure at the tail end of the pipeline is the same as the pressure actually sensed by the measuring hole of the probe, the formula (1) is used for controlling the pressure of the pipeline system to be in a static state
Figure 100002_DEST_PATH_IMAGE030
Figure 100002_DEST_PATH_IMAGE032
Then, sequentially carrying out recursion calculation by a formula (1) to obtain corrected pressure data;
s70, carrying out interpolation processing on the corrected pressure data according to the synchronously acquired position data of the pneumatic probe, and respectively obtaining the spatial distribution of the corrected pressure data of the forward motion and the corrected pressure data of the reverse motion at the same position;
s80, calculating the deviation and the data sequence of the pressure data after the forward correction and the pressure data after the reverse correction at the same spatial positionyCalculating the square sum of all data deviations according to the pressure values at the extreme value points and the corresponding corrected pressure value deviations;
s90, continuously adjusting the dynamic characteristic parameters set in the step S50 through an iterative optimization method
Figure 107490DEST_PATH_IMAGE014
Figure 461111DEST_PATH_IMAGE016
Repeating the steps S50-S80 until the sum of squares of all data deviations is minimum; taking the average value of the forward corrected pressure data and the reverse corrected pressure data of the same spatial position as the final corrected pressure data of the pneumatic probe; step S110 is executed;
s100, mounting a pneumatic probe on a displacement mechanism of the wind tunnel, wherein the pneumatic probe is connected with a pressure measuring hose, and the tail end of the pressure measuring hose is connected with a pressure signal measuring device; starting the wind tunnel, after a flow field is stabilized, enabling the pneumatic probe to accelerate from a static state to a uniform speed and then decelerate to the static state by the displacement mechanism according to a preset route, and continuously moving to a terminal point, and synchronously acquiring the position of the probe and measured pressure data by the data acquisition system at a sampling rate identified by the dynamic transfer characteristic of a pneumatic probe pipeline system; carrying out low-pass filtering processing without phase deviation on the measured pressure data; acquiring corrected pressure data by formula (1);
and S110, outputting the position coordinates and the corresponding corrected pressure data.
Further, the natural frequency of the pressure signal measuring device in the step S20 and the step S100 is greater than or equal to 100 Hz.
Further, the sampling rate range of the digital sampling system in the step S20 and the step S100 is 10 Hz-100 Hz.
Further, in step S100, when the corrected pressure data is obtained according to the formula (1)
Figure DEST_PATH_IMAGE034
Figure DEST_PATH_IMAGE036
In short, the method for rapidly measuring the steady flow field based on the forward and reverse continuous movement of the pneumatic probe does not need to perform a dynamic characteristic calibration test of a probe pipeline system in advance, but directly drives the pneumatic probe to respectively perform forward and reverse continuous movement in the flow field by the displacement mechanism, corrects the forward and reverse movement measurement data of the probe, minimizes the deviation of the pressure data after the forward and reverse movement correction of the probe by an iterative optimization method, and finally obtains the real pressure change sensed by the continuous movement measuring hole position of the pneumatic probe.
Specifically, the constant flow field rapid measurement method based on the forward and reverse continuous movement of the pneumatic probe drives the pneumatic probe to continuously move in the forward direction and the reverse direction in the measured flow field respectively by the displacement mechanism, and the data acquisition system synchronously acquires probe position data and probe pipeline tail end pressure measurement data. In order to avoid the influence of high-frequency pulsation noise signals, the measured pressure data is subjected to low-pass filtering processing without phase deviation. And establishing a recursion formula for correcting the pressure data sequence according to a linear discrete system theory, giving an estimated initial value of a dynamic characteristic parameter of a pneumatic probe pipeline system, and correcting the forward and reverse continuous motion measurement data of the pneumatic probe. And carrying out interpolation processing on the corrected forward and reverse pressure data at the same probe position coordinate by utilizing the synchronously acquired probe position information to obtain the spatial distribution of the corrected forward and reverse pressure data under the same position coordinate. And calculating the deviation of the two groups of corrected pressure data, and calculating the deviation of the position data of the pressure extreme point before correction and the corresponding data after correction. And continuously adjusting the dynamic characteristic parameters of the pipeline system by using an iterative optimization method to minimize the square sum of all data deviations. Ideally, the two sets of corrected measured pressure data should have the same value at the same spatial position, and the pneumatic probe pipeline system is generally an over-damped system, and the input signal of the pneumatic probe pipeline system should pass through the extreme point of the output signal, and the dynamic characteristic parameters of the pneumatic probe pipeline system can be continuously optimized by an iterative optimization method, so that the sum of squares of deviations of the pressure values of the two sets of corrected measured pressure data at a plurality of the same spatial positions and the sum of squares of deviations of the pressure values at the extreme point of the output signal and the corresponding corrected measured pressure data are minimized. And finally, taking the average value of the pressure data corrected by the forward and reverse movements of the probe at the same spatial position after the optimization iterative convergence as the pressure data corrected by the continuous movement of the pneumatic probe, namely the pressure spatial distribution actually sensed by the measuring hole position of the pneumatic probe.
The method for rapidly measuring the steady flow field based on the forward and reverse continuous motion of the pneumatic probe can conveniently and effectively adapt to various steady flow field environments of the pneumatic probe, can only carry out continuous motion measurement on the pneumatic probe in one direction when the distribution characteristics of the steady flow field are not changed greatly, and utilizes the dynamic transfer characteristics of a pneumatic probe pipeline system of an approximate steady flow field
Figure 918025DEST_PATH_IMAGE002
And acquiring corrected measured pressure data by using an order discrete system pressure recurrence formula.
The method for rapidly measuring the steady flow field based on the forward and reverse continuous movement of the pneumatic probe can obviously improve the efficiency of testing the pneumatic parameters of the steady flow field of the pneumatic probe and reduce the test cost, and meanwhile, compared with the traditional discrete point measurement mode, the method has no newly added measurement hardware equipment, is convenient to implement and has strong environmental adaptability.
Detailed Description
The present invention will be described in detail with reference to examples.
Example 1
Before the wind tunnel test is carried out, the pneumatic probe of the embodiment already obtains the dynamic transfer characteristic of the pneumatic probe pipeline system of the approximate steady flow field. The specific working steps are as follows:
a1. mounting a pneumatic probe on a displacement mechanism of the wind tunnel;
b1. starting the wind tunnel, after the flow field is stable, uniformly moving the pneumatic probe by the displacement mechanism in the steady flow field according to a preset movement route, and acquiring position coordinates and measurement pressure data at a sampling rate identified by the dynamic transfer characteristic of a pneumatic probe pipeline system;
c1. carrying out low-pass filtering processing without phase deviation on the measured pressure data;
d1. according to the dynamic transfer characteristics of the pneumatic probe tube system of the approximate steady flow field
Figure 523449DEST_PATH_IMAGE002
Acquiring corrected measurement pressure data by using an order discrete system pressure recursion formula;
e1. outputting the position coordinates and the final corrected measured pressure data;
example 2
Before the wind tunnel test, the pneumatic probe of the embodiment does not obtain the dynamic transfer characteristic of the pneumatic probe pipeline system of the approximate steady flow field. The specific working steps are as follows:
a2. mounting a pneumatic probe on a displacement mechanism of the wind tunnel; starting the wind tunnel, after the flow field is stable, accelerating the displacement mechanism from rest to uniform speed and then decelerating the displacement mechanism to rest along the positive direction, and moving the pneumatic probe from a starting point to an end point; then, the displacement mechanism accelerates from rest to uniform speed and then decelerates to rest along the reverse direction, and the pneumatic probe moves from the end point to the starting point; in the movement process, the pressure acquisition and test system synchronously acquires spatial position and measured pressure data at the same sampling rate;
b2. carrying out low-pass filtering processing without phase deviation on the measured pressure data;
carrying out low-pass filtering processing without phase deviation on the measured pressure data obtained by the continuous motion measurement of the pneumatic probe;
c2. setting up
Figure DEST_PATH_IMAGE038
Coefficients of transfer function of order discrete system pressure recurrence formula
Figure 644858DEST_PATH_IMAGE024
Figure 372643DEST_PATH_IMAGE026
d2. According to
Figure 658130DEST_PATH_IMAGE038
Acquiring corrected measurement pressure data by using an order discrete system pressure recursion formula;
for the same sampling rate, the
Figure DEST_PATH_IMAGE040
Corrected measured pressure data of individual measured values
Figure DEST_PATH_IMAGE042
Obtained by the following recursion formula:
Figure 332825DEST_PATH_IMAGE008
(1)
after the deployment:
Figure DEST_PATH_IMAGE044
(3)
wherein,
Figure 308741DEST_PATH_IMAGE018
Figure 145110DEST_PATH_IMAGE020
in order to measure the amount of pressure data,
Figure 121156DEST_PATH_IMAGE022
e2. carrying out interpolation processing on the corrected measured pressure data to obtain the forward corrected measured pressure data and the reverse corrected measured pressure data at the same spatial position;
f2. calculating the square sum of the deviations of the forward corrected measured pressure data and the reverse corrected measured pressure data of the same spatial position and the square sum of the deviations of the pressure values at the extreme points of the output signal and the corresponding corrected pressure values, continuously adjusting the coefficients of the transfer function of step c2
Figure DEST_PATH_IMAGE046
Figure DEST_PATH_IMAGE048
Repeating the steps c 2-e 2 until the square sum of the two deviations reaches the minimum or is in a given deviation range; taking the average value of the forward corrected measured pressure data and the reverse corrected measured pressure data of the same spatial position as the final corrected measured pressure data of the pneumatic probe;
g2. and outputting the position coordinates and the final corrected measured pressure data.
Further, the coefficient of the transfer function of step c2
Figure 379968DEST_PATH_IMAGE014
Figure 757859DEST_PATH_IMAGE016
There are two setting methods:
first, the dynamic transfer characteristics of the pneumatic probe piping system, in which an approximate steady flow field has been obtained, are set
Figure 499550DEST_PATH_IMAGE002
Coefficients of transfer function of order discrete system pressure recurrence formula
Figure 25210DEST_PATH_IMAGE014
Figure 838445DEST_PATH_IMAGE016
Secondly, assuming that the pneumatic probe is in a pressure balance state at the starting point position of starting movement, wherein the measured value of the pressure sensor is the pressure value actually sensed by the pneumatic probe at the starting point position; because the input value of the pneumatic probe in the pressure balance state is equal to the output value, namely when the frequency is 0, the gain value of the system is 1, and the dynamic characteristic parameters have the following constraint relation:
Figure DEST_PATH_IMAGE050
(2)
setting according to equation (3)
Figure 520443DEST_PATH_IMAGE002
Coefficients of transfer function of order discrete system pressure recurrence formula
Figure 964194DEST_PATH_IMAGE014
Figure 445991DEST_PATH_IMAGE016
Further, assuming that the pneumatic probe is in a pressure balance state at the starting point position where the pneumatic probe starts to move, at this time, a measured value of the pressure sensor is a pressure value actually sensed by the pneumatic probe at the starting point position; step e2 is to make the measurement of equation (2) before it is initiated
Figure 62917DEST_PATH_IMAGE034
Figure 71193DEST_PATH_IMAGE036
Although the embodiments of the present invention have been disclosed above, it is not limited to the applications listed in the description and the embodiments, but it can be applied to various fields suitable for the present invention. Additional modifications and adaptations may readily occur to those skilled in the art without departing from the principles of the present invention and the present invention is therefore not limited to the specific details disclosed herein without departing from the general concept defined by the claims and their equivalents.

Claims (4)

1. A constant flow field rapid measurement method based on forward and reverse continuous movement of a pneumatic probe is characterized by comprising the following steps:
s10, if the dynamic characteristic parameters of the pressure transmission of the pneumatic probe pipeline system under the condition of the constant flow field are obtained, the step S100 is carried out, and if not, the step S20 is carried out;
s20, mounting a pneumatic probe on a displacement mechanism of the wind tunnel, wherein the pneumatic probe is connected with a pressure measuring hose, and the tail end of the pressure measuring hose is connected with a pressure signal measuring device; starting the wind tunnel, and after the flow field is stable, accelerating the displacement mechanism from rest to uniform speed along the positive direction and then decelerating to rest so that the pneumatic probe continuously moves from a starting point to an end point; then, the displacement mechanism accelerates from a static state to a uniform speed which is the same as the forward direction along the reverse direction and then decelerates to the static state, so that the pneumatic probe moves from the end point to the starting point; in the movement process, the data acquisition system synchronously acquires the position data and the measured pressure data of the pneumatic probe at the same sampling rate;
s30, performing low-pass filtering processing without phase deviation on the measured pressure data;
performing low-pass filtering processing without phase deviation on the measured pressure data obtained by the continuous movement of the pneumatic probe, and recording a processed measured pressure data sequence as y;
s40, establishing a corrected pressure data sequence according to the linear discrete system theory
Figure DEST_PATH_IMAGE002
The recurrence formula of (c) is as follows:
Figure DEST_PATH_IMAGE003
in the formula,
Figure DEST_PATH_IMAGE005
and
Figure DEST_PATH_IMAGE007
subscripts of (a) respectively denote a corrected pressure data series
Figure 41943DEST_PATH_IMAGE005
And measuring the pressure data sequence
Figure 427925DEST_PATH_IMAGE007
The serial number of (a) is included,
Figure DEST_PATH_IMAGE009
in order to be an order of the pneumatic probe tubing system,
Figure 863454DEST_PATH_IMAGE009
taking out 3 or 4 of the raw materials,
Figure DEST_PATH_IMAGE011
Figure DEST_PATH_IMAGE013
the dynamic characteristic parameters of the pneumatic probe pipeline system are obtained;
Figure DEST_PATH_IMAGE015
Figure DEST_PATH_IMAGE017
in order to measure the amount of pressure data,
Figure DEST_PATH_IMAGE019
s50, setting dynamic characteristic parameters of the pneumatic probe pipeline system in the formula (1)
Figure DEST_PATH_IMAGE021
Figure DEST_PATH_IMAGE023
Estimating an initial value;
Figure 203472DEST_PATH_IMAGE021
Figure 611320DEST_PATH_IMAGE023
the estimated initial value is given according to the known dynamic parameters of the pneumatic probe pipeline system, and meanwhile, as the input value of the pressure signal is equal to the output value when the pneumatic probe pipeline system is in a balanced state, namely when the frequency is 0, the gain value of the pneumatic probe pipeline system is 1, the dynamic characteristic parameters also meet the following constraint relation:
Figure DEST_PATH_IMAGE024
s60, calculating according to a formula (1) to obtain corrected pressure data;
because the pneumatic probe is in a static state before the pneumatic probe starts to move, the pressure of a pipeline system of the pneumatic probe is in a balanced state, and the measured pressure at the tail end of the pipeline is the same as the pressure actually sensed by the measuring hole of the probe, the formula (1) shows that
Figure DEST_PATH_IMAGE026
Figure DEST_PATH_IMAGE028
Then, sequentially calculating recurrently by a formula (1) to obtain corrected pressure data;
s70, performing interpolation processing on the corrected pressure data according to the synchronously acquired position data of the pneumatic probe to respectively obtain the corrected pressure data of forward motion at the same position, namely the spatial distribution of the forward corrected pressure data, and the corrected pressure data of reverse motion, namely the spatial distribution of the reverse corrected pressure data;
s80, calculating forward correction pressure data of the same positionAnd reverse correcting the data deviation of the pressure data and the data sequenceyCalculating the square sum of all data deviations according to the data deviations of the pressure value at the extreme value point and the corresponding corrected pressure data;
s90, continuously adjusting the dynamic characteristic parameters set in the step S50 through an iterative optimization method
Figure 964941DEST_PATH_IMAGE011
Figure 825450DEST_PATH_IMAGE013
Repeating the steps S50-S80 until the sum of squares of all data deviations is minimum; taking the average value of the forward correction pressure data and the reverse correction pressure data of the same spatial position as the final correction pressure data of the pneumatic probe; step S110 is executed;
s100, mounting a pneumatic probe on a displacement mechanism of the wind tunnel, wherein the pneumatic probe is connected with a pressure measuring hose, and the tail end of the pressure measuring hose is connected with a pressure signal measuring device; starting the wind tunnel, after a flow field is stabilized, enabling the pneumatic probe to accelerate from a static state to a uniform speed and then decelerate to the static state by the displacement mechanism according to a preset route, and continuously moving to a terminal point, and synchronously acquiring position data and measurement pressure data of the pneumatic probe by the data acquisition system at a sampling rate identified by the dynamic transfer characteristic of a pneumatic probe pipeline system; carrying out low-pass filtering processing without phase deviation on the measured pressure data; acquiring corrected pressure data by formula (1);
and S110, outputting the position coordinates and the corresponding corrected pressure data.
2. The method for rapidly measuring the constant flow field based on the forward and reverse continuous movement of the pneumatic probe as claimed in claim 1, wherein the natural frequency of the pressure signal measuring device in the steps S20 and S100 is greater than or equal to 100 Hz.
3. The method for rapidly measuring the steady flow field based on the forward and reverse continuous motion of the pneumatic probe as claimed in claim 1, wherein the sampling rate of the digital sampling system in the steps S20 and S100 is in the range of 10 Hz-100 Hz.
4. The method for rapidly measuring the steady flow field based on the forward and reverse continuous movements of the pneumatic probe as claimed in claim 1, wherein the step S100 is executed when the corrected pressure data is obtained from the formula (1)
Figure DEST_PATH_IMAGE030
Figure DEST_PATH_IMAGE032
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