Background of the Invention
1. Field of the Invention
The invention relates generally to an apparatus for measuring the volume of an incompressible material confined within a space or the pressure of a compressible material confined within a space, and more particularly to an apparatus using an accoustical method for making such measurements.
2. Description of the Prior Art
Various methods for measuring the amount of liquid in a storage space are currently being used. In addition, various methods for measuring the the pressures of a compressible fluid in a storage space are also being used. Prior art methods have many disadvantages and are often inordinately complex. Prior art methods typically also introduce inaccuracies in the volume and pressure measurements.
Prior art methods are discussed in more detail in U.S. Pat. No. 4,599,892 filed Dec. 4, 1984 which is hereby incorporated herein by reference.
Summary of the Invention
The present invention provides a simple apparatus for acoustically measuring a volume of a liquid or solid within an enclosed chamber.
The present invention also provides a simple apparatus for acoustically measuring static pressure changes of a compressible fluid.
The present invention also provides a simple apparatus for acoustically measuring the ratio of the specific heats of a compressible fluid.
The present invention further provides a simple apparatus which can make acoustical measurements without requiring a reference volume of a compressible fluid.
The present invention additionally provides a simple apparatus for making acoustical measurements of volume/pressure to a high degree of accuracy.
The present invention also provides an acoustical volume/pressure measuring apparatus which has a linear output from zero volume/pressure to a desired maximum.
The present invention also provides an acoustical measuring apparatus which can detect leakage of a gas, liquid or solid from an enclosed space.
The present invention utilizes an acoustical driver and detector in conjunction with an electrical servo system. The present invention is essentially a closed loop master/slave electromechanical system for accurately measuring volume of a compressible fluid or pressure of a compressible fluid or specific heat ratio of a compressible fluid.
The acoustical driver may be either a mechanical or electrodynamic device. The acoustical detector is an electrical, electro-optical, electrodynamic or piezo electric transducer. An electrical amplification circuit is incorporated to amplify the signal from the detector and to amplify the difference between the detector output signal and a reference signal.
The primary purpose of the circuit is to keep the ratio of the change of pressure of the fluid to be measured in relation to the static pressure constant. The ratio is maintained constant by making it equivalent to a selected reference signal. Thus, since the differential pressure (.DELTA.P) divided by the static pressure is proportional to the differential volume (.DELTA.V) divided by the static volume (V), (.DELTA.V) is proportional to (V). Consequently, making an accurate measurement of (.DELTA.V) can provide a value for (V). The servomechanical system utilizing an electrical amplication circuit having a very high "loop gain" (greater than 100,000) provides an extremely accurate and precise measurement of the desired quantities i.e., ullage volume directly, volume of incompressible material in an enclosed space indirectly or compressibility of gas or compliance of the enclosure (human lung compliance) or gas pressure, density or specific heat ratio.
By enabling the accurate and precise measurement of the differential pressure or volume of a gas, the present invention provides a system which is able to acoustically detect leakage of a gas, liquid, or solid from an enclosed space. Thus, the present invention provides a simple device for measurement of the volume of a solid or liquid in an enclosed space or for measurement of the differential volume of such a solid or liquid. Moreover, since the relationship of the quantities measured to the quantities to be determined is linear the system of the present invention provides measurements which are very accurate within a broad range of values.
The components of the present invention include an electrical amplifier for the differential pressure detector, an electrical amplifier for the static pressure detector, a variable reference voltage source for maintaining .DELTA.P/P equal to a selected constant and a servomechanical system with a suitable gain controlled amplifier for driving an acoustical driver. There is no need for a reference chamber. Thus, the system is relatively simple which improves its accuracy and reliability in comparison with prior art sytems. Moreover, the use of high gain electrical components enhances the precision of the system.
Brief Description of the Drawings
A better understanding of the present invention may be had from a consideration of the following detailed description taken in conjunction with the accompanying drawings in which:
FIG. 1 is a graphical illustration of the response of the system of the present invention where .DELTA.P/P is constant.
FIG. 2 is a graphical illustration of the response of the system of the present invention where .DELTA.V/V is constant.
FIG. 3 is a diagrammatical illustration of one embodiment of the system of the present invention showing a schematic of the electrical circuitry adapted for volume measurements.
FIG. 4 is a diagrammatical illustration of another embodiment of the system of the present invention showing a schematic of the electrical circuitry adapted for pressure measurements.
Detailed Description of the Preferred Embodiment
Referring to the drawings, there is shown a preferred embodiment of the system of the present invention generally designated by the numeral 10. The apparatus 10 includes both electrodynamic (or piezo electrical) and electrical components. The apparatus is illustrated in diagrammatical form for simplicity and clarity.
The sound source 12 is preferably an electrodynamic driver. However, the driver 12 could also alternatively be a piezo electrical driver or other suitable acoustical source. The driver 12 emits sound into an enclosed space or chamber 14. The chamber is shown in FIG. 3 as containing a liquid or other incompressible material 16 therein. Above the liquid 16 is a gas or other compressible fluid 18 into which the sound from the driver 12 is directed.
A pressure transducer 20 receives the sound (.DELTA.P) produced by the driver in chamber 14. The transducer 20 is preferably an piezoelectric sensor, although it could also be an electrodynamic or semiconductor strain gauge sensor or optoelectrical or capacitive sensor or any suitable sensor capable of accurately measuring the sound.
A pressure transducer 22 measures the static pressure in the chamber 14. The transducer 22 is preferably a strain gauge sensor, but it could also be any DC current responsive sensor such as, for example, optoelectrical or semiconductor or capacitive sensor.
Signal conditioner 24 receives the output from the transducer 20 and preferably amplifies, filters and converts the output to DC voltage proportional to the acoustic signal (.DELTA.P). Similarly, signal conditioner 26 receives the output from the transducer 22 and preferably amplifies, filters and converts the output to DC voltage proportional to the static pressure (P).
The outputs from signal conditioners 24 and 26 are fed into a divider circuit 28 which produces an output signal proportional to the ratio of the output from conditioner 24 to the output from conditioner 26. Such divider circuits known to those skilled in the art and commonly available in many forms to accomplish this purpose.
The output from circuit 28 is fed to a differential amplifier 30. The amplifier 30 also receives a reference voltage from a suitable reference voltage source 32. The source is preferably capable of varying the reference voltage within certain desired parameters. The amplifier 30 is preferably a high gain type in order to obtain high loop gain for the outputs from source 32 and circuit 28. As a result, the amplifier 30 produces an output which is the difference between the outputs from the circuit 28 and source 32.
A gain controlled power amplifier 34 receives the output from a suitable constant amplitude sine wave oscillator 36. The oscillator 36 generates a preferably preselected low frequency, stable constant amplitude sine wave signal. The amplifier 34 has a variable gain controlled by the output voltage from amplifier 30. The output of the amplifier 34 feeds into the driver 12 controlling its amplitude of oscillation. The amplitude of oscillation of driver 12 in turn controls the acoustical signal which is also the differential pressure (.DELTA.P) in chamber 14.
An AC voltmeter 38 monitors the voltage signal output from the amplifier 34. Since the ratio (.DELTA.P/P) is maintained constant by the system 10, the signal output from amplifier 34 is equivalent to (.DELTA.V) and in turn to gas volume 18. Thus, a voltmeter 38 readout can yield a desired unknown quantity in the system such as volume 18 i.e., (V).
Essentially, the system incorporates a feedback control (which preferably includes conditioner 24, conditioner 26, divider 28, differential amplifier 30, source 32, amplifier 34 and oscillator 36, but other suitable feedback systems could also be used) which controls the acoustical driver or sound source 12 so that it results in the dynamic pressure divided by the static pressure being equal to a constant. Basicly, the system 10 works so that the output from the divider 28 (and therefore P/P) is maintained equal to the reference voltage to a high degree of precision. The high degree of precision is due to the high loop gain of the entire system 10. For example, if the loop gain is 10,000, the output from divider 28 is approximately 0.9999 the reference signal. The gain is sufficiently high to produce an output at the power amplifier 34 which output has a selected amplitude range to control the amplitude of oscillation of the sound source 12. It is thus aparent that a great stability and accuracy can be obtained employing a very high loop gain system. FIG. 3 illustrates a closed loop system to maintain .DELTA.P/P constant such that volume V is directly proportional to .DELTA.V.
Another important use of the system is to obtain a measurement of an unknown quantity, the ratio of specific heats when the volume of the gas in the chamber 14 is known. The ratio of specific heat values approach unity at very low frequency measurements. Thus, a comparison of the measurements of the differential volume at both high and low frequencies can yield a measurement of the specific heat ratio. This can be expressed mathematically by the following equations:
At low frequency measurements:
Since
and
where
.gamma.=specific heat ratio and
.DELTA.V.sub.l =differential volume at low frequencies (isothermal process)
At high frequency measurements:
Therefore, combining both measurements yields the following equation:
FIG. 4 illustrates an open loop sytem with .DELTA.V/V constant such that the static pressure P is directly proportional to dynamic pressure .DELTA.P.
In this embodiment 110 of the invention, the differential volume in the chamber 114 is maintained constant while the differential pressure in the chamber 114 is measured by the detector 120. The output from the detector 120 (which may, for example, be an electrodynamic or piezoelectrical type) is fed into an amplifier 124 which in turn feeds a signal into an AC voltmeter 138. The readout of the voltmeter 138 represents the static pressure (P). A constant amplitude sine wave oscillator 136 provides a sinusoidal voltage signal which is fed to a fixed gain amplifier 134. The output from amplifier 134 drives an acoustical driver 112 at a preselected frequency. Thus, the driver 112 (which may, for example, be an electrodynamic or piezoelectric type) (is driven at an amplitude set by the output voltage of the amplifier 134. Consequently, the acoustical signal (P) is proportional to the static pressure (P) since differential volume (V), gas volume (V) and specific heat ratio are constant. This embodiment 110 utilizes fewer components than embodiment 10. In addition, it may be desirable to provide leakage of static pressure from the chamber 114 to the outside environment. In such an instance, leakage paths 140 may be provided to allow communication of gas between the chamber 114 and the outside environment to equalize the static pressure inside and outside the chamber 114. By use of the leakage paths 140, measurements of the static pressure can be made by measurement of the static pressure in the chanber 114, and vice-versa.
It can also readily be seen that compliance (for example, of a lung) can be measured using the applications of the principles described hereinabove. The compliance of a lung containing a volume of air (10 liters) is:
where .gamma.=1.41; V.sub.o =10 liters; and P.sub.o =14.7 psi.
The graphical illustration of FIG. 1 is a graph of gas dynamic volume .DELTA.V or AC voltmeter readout Eo as a function of gas volume V, based on .DELTA.P/P being constant. FIG. 2 is a graph of dynamic pressure .DELTA.P as a function of static pressure P based on .DELTA.V/V being constant.
It is to be understood that the above described embodiments are merely illustrative of some of the many specific embodiments which represent applications of the principles of the present invention. Clearly, numerous and varied other arrangements may readily be devised by those skilled in the art, without departing from the spirit and scope of the invention.