CN116358823A - High-speed wind tunnel free incoming flow mass flow and total temperature pulsation uncertainty evaluation method - Google Patents
High-speed wind tunnel free incoming flow mass flow and total temperature pulsation uncertainty evaluation method Download PDFInfo
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Abstract
The invention belongs to the field of experimental aerodynamics, and discloses a method for evaluating the uncertainty of mass flow and total temperature pulsation of free incoming flow of a high-speed wind tunnel. The invention relates to a method for evaluating the uncertainty of mass flow and total temperature pulsation of free incoming flow of a high-speed wind tunnel, which comprises the following steps: installing a hot wire probe; connecting a hot wire anemometer; a first high-speed wind tunnel measurement test; a second high-speed wind tunnel measurement test; calculating mass flow pulsation and total temperature pulsation; and calculating mass flow pulsation uncertainty and total temperature pulsation uncertainty. The uncertainty evaluation method for the free incoming flow mass flow and the total temperature pulsation of the high-speed wind tunnel can provide the uncertainty of the free incoming flow mass flow pulsation and the total temperature pulsation of the high-speed wind tunnel, so that the reliability of apparent dynamic flow field quality and disturbance modal parameter solving results is improved, the reliability of high-speed wind tunnel test results is further improved, and the method has engineering application value.
Description
Technical Field
The invention belongs to the field of experimental aerodynamics, and particularly relates to a method for evaluating the uncertainty of mass flow and total temperature pulsation of free incoming flow of a high-speed wind tunnel.
Background
It is well known that the accurate simulation of the flow phenomenon under the real flight condition by using the wind tunnel test is an initial and pursued target of experimental hydrodynamic development, especially a high-speed wind tunnel, and plays an important role in aerodynamic force evaluation and aerodynamic shape refinement design of large advanced aircrafts such as various airliners, transport planes and the like. However, the disturbance modes existing in the free incoming flow of the high-speed wind tunnel can influence the aerodynamics, acoustics, thermal property and other characteristics of the test model, and the caused wind tunnel test result errors can cause design deviation of aerodynamic parameters such as lift force, resistance coefficient and the like in the aircraft design process, so that the load capacity of the aircraft can be caused to have estimation errors, and the economy and the safety of the aircraft are severely restricted. Therefore, it is important to precisely and quantitatively evaluate the disturbance modes existing in the free incoming flow of the high-speed wind tunnel.
The hot wire anemometer is the most suitable testing means for finely measuring the disturbance modes existing in the free incoming flow of the high-speed wind tunnel due to the advantages of high frequency response, high sensitivity, good economy and the like. The mass flow pulsation and the total temperature pulsation of the free incoming flow of the high-speed wind tunnel can be obtained through the measurement of the hot wire anemometer, and the apparent dynamic flow field quality and the disturbance modal parameters of the free incoming flow can be obtained according to a series of fitting processing, so that the method is very important for the accuracy analysis of the test result of the high-speed wind tunnel. However, uncertainty evaluation on free incoming flow mass flow pulsation and total temperature pulsation of the high-speed wind tunnel is not developed at present, so that reliability of apparent dynamic flow field quality and disturbance modal parameter solving results cannot be evaluated, reliability evaluation of high-speed wind tunnel test results is limited, and safety and economy of developing an aircraft through the high-speed wind tunnel test are severely restricted.
Currently, development of a method for evaluating mass flow rate of free incoming flow and uncertainty of total temperature pulsation of high-speed wind tunnel is needed.
Disclosure of Invention
The invention aims to provide a method for evaluating the uncertainty of the mass flow rate of free incoming flow and the total temperature pulsation of a high-speed wind tunnel, which is used for overcoming the defects of the prior art.
The invention relates to a method for evaluating the uncertainty of mass flow and total temperature pulsation of free incoming flow of a high-speed wind tunnel, which comprises the following steps:
s10, installing a hot wire probe;
the one-dimensional hot wire probe is arranged on the supporting rod, is well clamped by the clamping mechanism and is arranged on the middle bracket of the high-speed wind tunnel;
s20, connecting a hot wire anemometer;
opening a constant-temperature hot wire anemometer, connecting a data acquisition card, and setting the sampling frequency and the sampling time of the hot wire anemometer;
s30, a first high-speed wind tunnel measurement test;
setting the overheat ratio of the hot wire anemometerStarting a high-speed wind tunnel, and setting the operation Mach number>Recording the total free incoming flow temperature of the high-speed wind tunnel>Synchronously recording output voltage of hot wire anemometer>And calculates the first output voltage ripple of the hot wire anemometer>;
S40, performing a second high-speed wind tunnel measurement test;
maintaining the operation parameters of the high-speed wind tunnel unchanged, and changing the overheat ratio of the hot wire anemometerRecord the output voltage of the hot wire anemometer +.>And calculates the second output voltage ripple of the hot wire anemometer +.>;
Hot wire anemometer output voltage pulsationMass flow pulsation->Total temperature pulsation->The relationship between them is as follows:
in the above-mentioned method, the step of,Gthe expression is as follows, which is the sensitivity coefficient of the total temperature pulsation:
in the above-mentioned method, the step of,for reference temperature coefficient of resistance->For reference resistance, ">Is a temperature recovery coefficient->Is cold resistance value, ">For calibration coefficient, the five parameters are free to flow in the high-speed wind tunnel at total temperature +.>The data obtained in S30 and S40 form the output voltage pulsation +.>Mass flow pulsation->Pulsation of total temperatureThe equation set between is as follows:
in the above-described system of equations,for the overheat ratio of the hot-wire anemometer>The corresponding sensitivity coefficient of the total temperature pulsation,for the overheat ratio of the hot-wire anemometer>Solving the equation set to obtain the free incoming flow mass flow pulsation of the high-speed wind tunnel according to the corresponding total temperature pulsation sensitivity coefficient>Total temperature pulsation->The expression of (2) is as follows:
In the above-mentioned method, the step of,is->Uncertainty of->Is->Uncertainty of->Is thatUncertainty of->Is->Is not determined by the degree of uncertainty of (2).
Further, the calculated mass flow pulsation uncertainty and the total temperature pulsation uncertainty of the S60Uncertainty of individual items +.>The calculation method of (2) is as follows:
S61.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the total temperature transmission of the high-speed wind tunnelSensor measurement accuracy, < >>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficientsAnd->Corresponding coefficient->The calculation method comprises the following steps:
S62.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the measurement accuracy of the total temperature sensor of the high-speed wind tunnel, +.>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficientsAnd->Corresponding coefficient->The calculation method comprises the following steps:
S63.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S64.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S65.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method has been given in S61, corresponding coefficients +.>The calculation method of (2) is as follows:
S66.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method is given in S62, corresponding coefficient +.>The calculation method of (2) is as follows: />
S67.And its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S68.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
the uncertainty evaluation method for the free incoming flow mass flow and the total temperature pulsation of the high-speed wind tunnel can provide the uncertainty of the free incoming flow mass flow pulsation and the total temperature pulsation of the high-speed wind tunnel, so that the reliability of apparent dynamic flow field quality and disturbance modal parameter solving results is improved, the reliability of high-speed wind tunnel test results is further improved, and the method has engineering application value.
Drawings
FIG. 1 is a flow chart of a method for analyzing uncertainty of internal resistance measurement of a high-speed wind tunnel ventilation model.
Detailed Description
The invention is described in detail below with reference to the drawings and examples.
Example 1:
as shown in fig. 1, the method for evaluating the uncertainty of the mass flow rate and the total temperature pulsation of the free incoming flow of the high-speed wind tunnel in the embodiment comprises the following steps:
s10, installing a hot wire probe;
the one-dimensional hot wire probe is arranged on the supporting rod, is well clamped by the clamping mechanism and is arranged on the middle bracket of the high-speed wind tunnel;
s20, connecting a hot wire anemometer;
opening a constant-temperature hot wire anemometer, connecting a data acquisition card, and setting the sampling frequency and the sampling time of the hot wire anemometer;
s30, a first high-speed wind tunnel measurement test;
setting the overheat ratio of the hot wire anemometerStarting a high-speed wind tunnel, and setting the operation Mach number>Recording the total free incoming flow temperature of the high-speed wind tunnel>Synchronously recording output voltage of hot wire anemometer>And calculates the first output voltage ripple of the hot wire anemometer>;
S40, performing a second high-speed wind tunnel measurement test;
maintaining the operation parameters of the high-speed wind tunnel unchanged, and changing the overheat ratio of the hot wire anemometerRecord the output voltage of the hot wire anemometer +.>And calculates the second output voltage ripple of the hot wire anemometer +.>;
Hot wire anemometer output voltage pulsationMass flow pulsation->Total temperature pulsation->The relationship between them is as follows:
in the above-mentioned method, the step of,Gthe expression is as follows, which is the sensitivity coefficient of the total temperature pulsation:
in the above-mentioned method, the step of,for reference temperature coefficient of resistance->For reference resistance, ">Is a temperature recovery coefficient->Is cold resistance value, ">For calibration coefficients, the five parameters are all fixed values under the condition that the total temperature of free incoming flow of the high-speed wind tunnel is unchanged, and the data obtained in S30 and S40 form output voltage pulsation +.>Mass flow pulsation->Pulsation of total temperatureThe equation set between is as follows:
in the above-described system of equations,for the overheat ratio of the hot-wire anemometer>The corresponding sensitivity coefficient of the total temperature pulsation,for the overheat ratio of the hot-wire anemometer>Solving the equation set to obtain the free incoming flow mass flow pulsation of the high-speed wind tunnel according to the corresponding total temperature pulsation sensitivity coefficient>Total temperature pulsation->The expression of (2) is as follows:
In the above-mentioned method, the step of,is->Uncertainty of->Is->Uncertainty of->Is->Uncertainty of->Is->Is not determined by the degree of uncertainty of (2).
Further, the calculated mass flow pulsation uncertainty of S60And total temperature pulsation uncertainty +.>The calculation method of each item uncertainty in (a) is as follows: />
S61.And its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the measurement accuracy of the total temperature sensor of the high-speed wind tunnel, +.>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficientsAnd->Corresponding coefficient->The calculation method comprises the following steps:
S62.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the measurement accuracy of the total temperature sensor of the high-speed wind tunnel, +.>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficientsAnd->Corresponding coefficient->The calculation method comprises the following steps:
S63.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S64.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S65.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method has been given in S61, corresponding coefficients +.>The calculation method of (2) is as follows:
S66.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method is given in S62, corresponding coefficient +.>The calculation method of (2) is as follows:
S67.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows: />
S68.And its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
although embodiments of the invention have been disclosed in the foregoing description and illustrated in the drawings, it will be understood by those skilled in the art that the present invention is not limited to the specific details and illustrations of features and steps set forth herein, and that all features of the invention disclosed, or steps of the method or process, except for mutually exclusive features and/or steps, may be combined in any manner without departing from the principles of the invention.
Claims (2)
1. The method for evaluating the uncertainty of the mass flow and the total temperature pulsation of the free incoming flow of the high-speed wind tunnel is characterized by comprising the following steps of:
s10, installing a hot wire probe;
the one-dimensional hot wire probe is arranged on the supporting rod, is well clamped by the clamping mechanism and is arranged on the middle bracket of the high-speed wind tunnel;
s20, connecting a hot wire anemometer;
opening a constant-temperature hot wire anemometer, connecting a data acquisition card, and setting the sampling frequency and the sampling time of the hot wire anemometer;
s30, a first high-speed wind tunnel measurement test;
setting the overheat ratio of the hot wire anemometerStarting a high-speed wind tunnel, and setting the operation Mach number>Recording the total free incoming flow temperature of the high-speed wind tunnel>Synchronously recording output voltage of hot wire anemometer>And calculates the first output voltage ripple of the hot wire anemometer>;
S40, performing a second high-speed wind tunnel measurement test;
maintaining the operation parameters of the high-speed wind tunnel unchanged, and changing the overheat ratio of the hot wire anemometerRecord the output voltage of the hot wire anemometer +.>And calculates the second output voltage ripple of the hot wire anemometer +.>;
Hot wire anemometer output voltage pulsationMass flow pulsation->Total temperature pulsation->The relationship between them is as follows:
in the above-mentioned method, the step of,Gthe expression is as follows, which is the sensitivity coefficient of the total temperature pulsation:
in the above-mentioned method, the step of,for reference temperature coefficient of resistance->For reference resistance, ">Is a temperature recovery coefficient->Is cold resistance value, ">For calibration coefficient, the five parameters are free to flow in the high-speed wind tunnel at total temperature +.>The data obtained in S30 and S40 form the output voltage pulsation +.>Mass flow pulsation->Pulsation of total temperatureThe equation set between is as follows:
in the above-described system of equations,for the overheat ratio of the hot-wire anemometer>Corresponding toTotal temperature pulsation sensitivity coefficient,/->For the overheat ratio of the hot-wire anemometer>Solving the equation set to obtain the free incoming flow mass flow pulsation of the high-speed wind tunnel according to the corresponding total temperature pulsation sensitivity coefficient>Total temperature pulsation->The expression of (2) is as follows:
2. The method for evaluating the uncertainty of the mass flow rate and the total temperature pulsation of the free incoming flow of the high-speed wind tunnel according to claim 1, wherein the uncertainty of the calculated mass flow rate pulsation of the S60 isAnd total temperature pulsation uncertaintyThe calculation method of each item uncertainty in (a) is as follows:
S61.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the measurement accuracy of the total temperature sensor of the high-speed wind tunnel, +.>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficient->Andcorresponding coefficient->The calculation method comprises the following steps:
S62.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
in the method, in the process of the invention,is total temperature->Is equal to the measurement accuracy of the total temperature sensor of the high-speed wind tunnel, +.>Is a overheat ratio->Uncertainty in time, given by the constant temperature hot wire anemometer parameters, < >>Corresponding coefficient->And->Corresponding coefficient->The calculation method comprises the following steps:
S63.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S64.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S65.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method has been given in S61, corresponding coefficients +.>The calculation method of (2) is as follows:
S66.and its corresponding coefficient in the uncertainty of the total temperature pulsation +.>Is calculated by the method;
the calculation method is given in S62, corresponding toCoefficient->The calculation method of (2) is as follows:
S67.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
S68.and its corresponding coefficient in mass flow pulsation uncertainty +.>Is calculated by the method;
the constant temperature hot wire anemometer output voltage parameter is given, corresponding coefficient +>The calculation method of (2) is as follows:
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