# US 2019/0376831 A1 · Vibration-type fluid flow-rate measuring system having temperature compensation > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 2019/0376831 A1 - Document ID: US20190376831A1 - Status: Published application - Kind: A1 - Application number: 16/315,826 - Filed: 2017-06-26 - Published: 2019-12-12 - Earliest claimed: 2016-07-08 - Assignees: Endress + Hauser Flowtec AG - Applicants: Endress + Hauser Flowtec AG - Inventors: Alfred RIEDER; Gerhard ECKERT; Ennio BITTO; Hao ZHU - Web page: https://patentgrep.com/patent/US20190376831A1 ## CPC - G01F 1/8409: {constructional details} - G01F 25/10: of flowmeters - G01F 1/8436: {signal processing} - G01F 1/8477: {with multiple measuring conduits} - G01F 1/8495: {with multiple measuring conduits} - G01F 15/022: {using electrical means} - G01N 11/162: {Oscillations being torsional, e.g. produced by rotating bodies} - G01N 2009/006: {vibrating tube, tuning fork} - G01F: MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME - G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q) ## Abstract The measuring system comprises a transducer apparatus (MT) with two tubes (11, 12), each of which has a lumen (11′) surrounded by a wall, especially a metal wall and extends from an inlet side end (11a, 12a) to an outlet side end (11b, 12b) Each of the two tubes is adapted to be flowed through by a fluid, starting from an inlet side end and proceeding toward an outlet side end, and, during that, to be caused to vibrate. An electromechanical-exciter mechanism formed by means of at least one oscillation exciter (41) serves for exciting and maintaining mechanical oscillations of each of the tubes (11, 12) about their associated static resting positions and a sensor arrangement (S) formed by means of at least one oscillation sensor (51) serves for registering mechanical oscillations of at least one of the tubes (11, 12). The transducer apparatus additionally includes two temperature sensors (71, 72), wherein the temperature sensor (71) is mechanically and thermally conductively coupled with a wall of the tube (11), and the temperature sensor (72) is mechanically and thermally conductively coupled with a wall of the tube (12), and wherein each of the temperature sensors (71, 72) is adapted to register a measuring point temperature (ϑ1, ϑ2) and to convert such into a temperature measurement signal (θ1; θ2). The temperature sensor (71) is additionally positioned closer to the end (11a) than to the end (11b), while the temperature sensor (72) is positioned closer to the end (12b) than to the end (12a). A measuring- and operating electronics (ME) of the measuring system electrically coupled with the transducer apparatus is additionally adapted, with application of the temperature measurement signals (θ1, θ2), to generate a transducer temperature measured value, which represents a transducer apparatus temperature, which deviates both from the measuring point temperature (ϑ1) as well as also from the measuring point temperature (ϑ2), in such a manner that a magnitude of the transducer temperature measured value is greater than a magnitude of the measuring point temperature (ϑ1) and less than a magnitude of the measuring point temperature (ϑ2). ## Claims ### Claim 1 A measuring system, especially a measuring system for measuring at least one measured variable, x, of a fluid (FL1) flowing in a pipeline, which measuring system comprises: a measuring- and operating electronics (ME), especially one formed by means of a microprocessor and/or a digital signal processor; as well as a transducer apparatus electrically coupled with the measuring- and operating electronics (ME), wherein the transducer apparatus (MT) includes: a first tube (11) having a lumen (11′) surrounded by a wall, especially a metal wall, and extending from an inlet side, first end (11a) to an outlet side, second end (11b), especially an at least sectionally bent and/or at least sectionally straight, first tube, which is adapted to be flowed through by a fluid, starting from the inlet side, first end and proceeding toward the outlet side, second end, and, during that, to be caused to vibrate, a second tube (12) having a lumen (12′) surrounded by a wall, especially a metal wall and extending from an inlet side, first end (12a) to an outlet side, second end (12b), especially an at least sectionally bent and/or at least sectionally straight second tube and/or a second tube constructed equally to the first tube (11) and/or arranged parallel to the first tube (11), which second tube is adapted, especially simultaneously with the first tube, to be flowed through by a fluid, starting from the inlet side, first end and proceeding toward the outlet side, second end, and, during that, especially simultaneously with and/or opposite-equally to, the first tube, to be caused to vibrate, an electromechanical-exciter mechanism formed by means of at least one, especially electrodynamic, oscillation exciter (41) for exciting and maintaining mechanical oscillations of both the first as well as also the second tube about associated static resting positions, especially mechanical oscillations of each of the tubes about imaginary first, and second, oscillation axes imaginarily connecting first and second ends thereof, a sensor arrangement (S) formed by means of at least a first, especially electrodynamic, oscillation sensor (51) for registering mechanical oscillations, especially inlet end, mechanical oscillations, of at least one of the tubes (11, 12), a first temperature sensor (71) coupled mechanically and thermally conductively with the wall of the first tube, which is positioned closer to the first end (11a) of the first tube (11) than to the second end (11b) of the first tube (11), and which is adapted to register a first measuring point temperature (ϑ1), namely a temperature of the wall of the first tube at a first temperature measuring point formed by means of the temperature sensor (71), and to convert such into a first temperature measurement signal (θ1), namely a first electrical measurement signal representing the first measuring point temperature (1), especially a first electrical measurement signal having an electrical signal voltage dependent on the first measuring point temperature and/or an electrical signal current dependent on the first measuring point temperature, as well as a second temperature sensor (72) coupled mechanically and thermally conductively with the wall of the second tube, which is positioned closer to the second end (12b) of the second tube (12) than to the first end (12a) of the second tube (12), and which is adapted to register a second measuring point temperature (92), namely a temperature of the wall of the second tube at a second temperature measuring point formed by means of the second temperature sensor (72) and to convert such into a second temperature measurement signal, namely a second electrical measurement signal (θ2) representing the second measuring point temperature (2), especially a second electrical measurement signal having an electrical signal voltage dependent on the second measuring point temperature and/or an electrical signal current dependent on the second measuring point temperature; and wherein the measuring- and operating electronics (ME) is adapted, with application of both the first temperature measurement signal (θ1) as well as also the second temperature measurement signal (θ2), to generate a transducer temperature measured value, which represents a transducer apparatus temperature, which deviates both from the first measuring point temperature (1) as well as also from the second measuring point temperature (2), in such a manner that a magnitude of the transducer temperature measured value is greater than a magnitude of the first measuring point temperature (1) and less than a magnitude of the second measuring point temperature (2), especially corresponds to an arithmetic average value of the first and second measuring point temperatures (1, 2) and/or a weighted average of the first and second measuring point temperatures (1, 2). ### Claim 2 (depends on 1) The measuring system as claimed in claim 1, wherein the first temperature sensor (71) is positioned closer to the first end (11a) of the first tube (11) than the second temperature sensor (72) is to the first end (12a) of the second tube (12); and/or wherein the second temperature sensor (72) is positioned closer to the second end (12b) of the second tube (12) than the first temperature sensor (71) is to the second end (11b) of the first tube (11); and/or wherein the first temperature sensor (71) is positioned the same distance from the first end (11a) of the first tube (11) as the second temperature sensor (72) is from the second end (12b) of the second tube (12); and/or wherein the first temperature sensor (71) is positioned the same distance from the second end (11b) of the first tube (11) as the second temperature sensor (72) is from the first end (12a) of the second tube (12); and/or wherein the first temperature sensor (71) is positioned at the same distance from a halflength of the first tube as the second temperature sensor (72) from a halflength of the second tube; and/or wherein the first temperature sensor and the second temperature sensor are of equal construction; and/or wherein the first temperature sensor is coupled in the same manner mechanically with the wall of the first tube as the second temperature sensor is with the wall of the second tube; and/or wherein the transducer apparatus, except for the first temperature sensor, has no additional temperature sensor contacting the wall of the first tube; and/or wherein the transducer apparatus, except for the second temperature sensor, has no additional temperature sensor contacting the wall of the second tube. ### Claim 3 (depends on 1) The measuring system as claimed in claim 1, wherein the first temperature sensor is coupled in the same manner thermally conductively with the wall of the first tube as the second temperature sensor is with the wall of the second tube, especially in such a manner that a thermal resistance opposing a heat flow flowing from the wall of the first tube to the first temperature sensor and further to an atmosphere surrounding the first temperature sensor is the same as a thermal resistance opposing a heat flow flowing from the wall of the second tube to the second temperature sensor and further to an atmosphere surrounding the second temperature sensor. ### Claim 4 (depends on 1) The measuring system as claimed in claim 1, wherein the first tube is mirror symmetrically arranged about at least one imaginary symmetry axis imaginarily cutting the first tube, especially an imaginary symmetry axis coinciding with a principal axis of inertia of the first tube and the second tube is mirror symmetrically arranged about at least one imaginary symmetry axis imaginarily cutting the second tube, especially an imaginary symmetry axis coinciding with a principal axis of inertia of the second tube; and/or wherein a temperature sensor arrangement of the transducer apparatus formed by means of the first temperature sensor (71) and by means of the second temperature sensor (72) is axisymmetric about at least one imaginary symmetry axis imaginarily cutting the transducer apparatus, especially an imaginary symmetry axis both parallel to a principal axis of inertia of the first tube as well as also parallel to a principal axis of inertia of the second tube. ### Claim 5 (depends on 1) The measuring system as claimed in claim 1, further comprising: a second oscillation sensor (52) for registering mechanical oscillations, especially outlet side, mechanical oscillations, of at least one of the tubes, especially an electrodynamic, second oscillation sensor, and/or one constructed equally to the first oscillation sensor (51). ### Claim 6 (depends on 5) The measuring system as claimed in claim 5, wherein an oscillation sensor arrangement formed by means of the first oscillation sensor (51) and by means of the second oscillation sensor (52) is mirror symmetrically arranged about at least one imaginary symmetry axis imaginarily cutting the transducer apparatus, especially a symmetry axis parallel both to a principal axis of inertia of the first tube as well as also to a principal axis of inertia of the second tube; and/or wherein the first temperature sensor (71) is positioned the same distance from the first oscillation sensor (51) as the second temperature sensor (72) is from the second oscillation sensor (52). ### Claim 7 (depends on 1) The measuring system as claimed in claim 1, wherein both the first tube (11) as well as also the second tube (12) are bent, especially V shaped- or U shaped-; and/or wherein both the first tube (11) as well as also the second tube (12) are, at least sectionally, especially predominantly, straight, especially circularly cylindrical; and/or wherein both the first tube (11) as well as also the second tube (12) are, at least sectionally, bent, especially circular arc shaped; and/or wherein both the wall of the first tube as well as also the wall of the second tube are composed, at least partially, especially predominantly or completely, of a material, especially a metal or an alloy, whose specific thermal conductivity, λ10, is greater than 10 W/(m·K), and whose specific heat capacity, cp1, is less than 1000 J/(kg·K); and/or wherein both the wall of the first tube as well as also the wall of the second tube are composed of a metal, or an alloy, especially steel, titanium, zirconium, tantalum; and/or wherein the first tube (11) and the second tube (12) are of equal construction. ### Claim 8 (depends on 1) The measuring system as claimed in claim 1, further comprising: an inlet side, first flow divider (201) as well as an outlet side, second flow divider (202), wherein the first and second tubes (11, 12) are connected to the flow dividers (201, 202), especially equally constructed flow dividers, to form flow paths connected for flow in parallel, in such a manner that the first tube (11) communicates with its first end (11a) with a first flow opening (201A) of the first flow divider (201) and with its second end (11b) with a first flow opening (202A) of the second flow divider (202), and that the second tube (12) communicates with its first end (12a) with a second flow opening (201B) of the first flow divider (201) and with its second end (12b) with a second flow opening (202B) of the second flow divider (202). ### Claim 9 (depends on 1) The measuring system as claimed in claim 1, further comprising: a transducer housing (100) having a cavity surrounded by a wall, especially a metal wall, wherein both the first as well as also the second tube are arranged within the cavity of the transducer housing, in such a manner that, between a cavity facing inner surface (100+) of the wall of the transducer housing, a cavity facing, outer surface (11#) of the wall of the first tube as well as a cavity facing, outer surface (12#) of the wall of the second tube, an intermediate space (100′) is formed, and wherein the transducer housing, the first tube and the second tube are adapted to hold in the intermediate space (100′) a fluid (FL2), especially a fluid having a specific thermal conductivity of less than 1 W/(m (K), especially air or an inert gas, to form a fluid volume enveloping both the first as well as also the second tube, in such a manner that the intermediate space facing, outer surface (11#) of the wall of the first tube (11) is contacted by fluid (FL2) held in the intermediate space (100′) to form a first interface (II11) of first type, namely an interface between a fluid and a solid phase, and the intermediate space facing, outer surface (12#) of the wall of the second tube (12) is contacted by fluid (FL2) held in the intermediate space (100′) to form a second interface (II12) of first type. ### Claim 10 (depends on 8) The measuring system as claimed in claim 8, wherein both the first flow divider (201) as well as also the second flow divider (202) are integral components of the transducer housing, especially in such a manner that a first end of the transducer housing is formed by means of the first flow divider (201) and a second end of the transducer housing remote from the first end of the transducer housing is formed by means of the second flow divider (202). ### Claim 11 (depends on 1) The measuring system as claimed in claim 1, further comprising: an inlet side, first connecting flange (13), especially an inlet side, first connecting flange serving for connecting the transducer apparatus to a line segment of a process line supplying the fluid (FL1), as well as an outlet side, second connecting flange (14), especially an outlet side, second connecting flange serving for connecting the transducer apparatus to a line segment of a process line removing the fluid (FL1). ### Claim 12 (depends on 11) The measuring system as claimed in claim 11, wherein each of the connecting flanges (13, 14) has a sealing surface for the fluid tight, leakage free connecting of the transducer apparatus with a corresponding line segment of a process line, and wherein a smallest separation between the sealing surfaces defines an installed length, LMT, of the transducer apparatus, especially an installed length greater than 250 mm and/or less than 3000 mm. ### Claim 13 (depends on 12) The measuring system as claimed in claim 12, wherein a tube length to installed length ratio, L11/LMT, of the transducer apparatus, defined by a ratio of a straightened tube length, L11, of the first tube (11) to installed length, L11, of the transducer apparatus, is greater than 1.2—especially greater than 1.4. ### Claim 14 (depends on 1) The measuring system as claimed in claim 1, wherein a straightened tube length, L11, of the first tube (11) is greater than 300 mm and/or a straightened tube length, L12, of the second tube (12) is greater than 300 mm. ### Claim 15 (depends on 1) The measuring system as claimed in claim 1, wherein the first temperature sensor (71) is formed by means of a first temperature registering unit (711), especially a platinum measuring resistance, a thermistor or a thermocouple, and by means of a first coupling body (712) coupling the first temperature registering unit (711) thermally conductively with the wall of the first tube, and wherein the second temperature sensor (72) is formed by means of a second registering unit (721), especially a platinum measuring resistance, a thermistor or a thermocouple, as well as by means of a second coupling body (722) coupling the second temperature sensor (721) thermally conductively with the wall of the second tube. ### Claim 16 (depends on 15) The measuring system as claimed in claim 15, wherein the first temperature sensor (711) and the second temperature sensor (712) are of equal construction; and/or wherein the first coupling body (712) and the second coupling body (722) are of equal construction. ### Claim 17 (depends on 15) The measuring system as claimed in claim 15, wherein the first temperature sensor (71) contacts the outer surface (11#) of the wall of the first tube by means of the first coupling body to form a first interface (II21) of second type, namely an interface between two solid phases, and the second temperature sensor (72) contacts the outer surface (12#) of the wall of the second tube by means of the second coupling body to form a second interface (II22) of second type, in such a manner that a first thermal resistance, R1, opposes a heat flow, Q1, resulting from a temperature difference, ΔT1, reigning between the first interface (II21) of second type and the first temperature measuring point and flowing through the interface (II21) and further to the first temperature measuring point, and a second thermal resistance, R2, opposes a heat flow, Q2, resulting from a temperature difference, ΔT2, reigning between the second interface (II22) of second type and the second temperature measuring point and flowing through the interface (II22) and further to the second temperature measuring point; and wherein the first thermal resistance, R1, and the second thermal resistance, R2, are so dimensioned that R1=R2. ### Claim 18 (depends on 17) The measuring system as claimed in claim 17, wherein the first thermal resistance, R1, and the second thermal resistance, R2, are each less than 100 K/W, especially less than 25 K/W. ### Claim 19 (depends on 9) The measuring system as claimed in claim 9, wherein the fluid volume surrounding the first and second tubes contacts the first temperature sensor (71) to form a third interface (II13) of first type as well as the second temperature sensor (72) to form a fourth interface (II14) of first type, in such a manner that a third thermal resistance, R3, opposes a heat flow, Q3, resulting from a temperature difference, ΔT3, reigning between the third interface (II13) of first type and the first temperature measuring point and flowing from the first temperature measuring point to the interface (II13) and passing through the interface (II13), and a fourth thermal resistance, R4, opposes a heat flow, Q4, resulting from a temperature difference, ΔT4, reigning between the fourth interface (II14) of first type and the second temperature measuring point and flowing from the second temperature measuring point to the interface (II14) and passing through the interface (II14). ### Claim 20 (depends on 19) The measuring system as claimed in claim 19, wherein the third thermal resistance, R3, and the fourth thermal resistance, R4, are, in each case, greater than 500 K/W, especially greater than 5000 K/W, and/or less than 20000 K/W, especially less than 10000 K/W; and/or and wherein the third thermal resistance, R3, and the fourth thermal resistance, R4, are so dimensioned that R3=R4. ### Claim 21 (depends on 15) The measuring system as claimed in claim 15, wherein the first coupling body (712) is composed at least partially, especially predominantly or completely, of a material, especially a heat conductive adhesive, whose specific thermal conductivity, λ712, is greater than a specific thermal conductivity, λF, of the fluid (FL2) held in the intermediate space and/or greater than 1 W/(m·K), and whose specific heat capacity, cp712, is less than a specific heat capacity, cpF, of the fluid held in the intermediate space and/or less than 2000 J/(kg·K), especially in such a manner that a ratio, λ712/λF, of the specific thermal conductivity, λ712, of the material to the specific thermal conductivity, λF, of the fluid held in the intermediate space is greater than 2, and/or that a ratio, cp712/cpF, of the specific heat capacity, cp712, of the material to the specific heat capacity, cpF, of the fluid (FL2) held in the intermediate space is less than 1.5. ### Claim 22 (depends on 15) The measuring system as claimed in claim 15, wherein the first coupling body is formed, especially completely, by means of a synthetic material, especially an epoxide resin or a silicone, placed between the wall of the first tube and the first temperature registering unit, especially contacting both the outer surface (11#) of the wall as well as also the first temperature registering unit and/or mixed with metal oxide particles, and wherein the second coupling body is formed, especially completely, by means of a synthetic material, especially an epoxide resin or a silicone, placed between the wall of the second tube and the second temperature registering unit, especially contacting both the outer surface (12#) of the wall as well as also the second temperature registering unit and/or mixed with metal oxide particles. ### Claim 23 (depends on 1) The measuring system as claimed in claim 1, wherein both the wall of the first tube as well as also the wall of the second tube have, in each case, a wall thickness, which is greater than 0.5 mm and/or less than 10 mm; and/or wherein both the first tube as well as also the second tube have, in each case, an inner diameter, D, which is greater than 0.5 mm and/or less than 200 mm; and/or wherein both the first tube as well as also the second tube are, in each case, so dimensioned that they have an inner diameter to wall thickness ratio, D/s, defined as a ratio an inner diameter of, D, of the tube to a wall thickness, s, of the wall of the tube, which is less than 25:1 and/or greater than 5:1; and/or wherein the first temperature sensor is connected by material bonding, especially adhesively, with the outer surface (11#) of the wall of the first tube, especially by means of a heat conductive adhesive, in order to form the first coupling body, and wherein the second temperature sensor is connected by material bonding, especially adhesively, with the outer surface (12#) of the wall of the second tube, especially by means of a heat conductive adhesive, in order to form the second coupling body. ### Claim 24 (depends on 1) The measuring system as claimed in claim 1, wherein the transducer temperature measured value is an arithmetic average value of the first and second measuring point temperatures (1, 2) and/or a weighted average of the first and second measuring point temperatures (1, 2); and/or wherein the transducer temperature measured value represents an average tube wall temperature, namely a temperature corresponding to an arithmetic average value 0.5(11+12) of an average tube wall temperature (11) of the first tube (11) and an average tube wall temperature (12) of the second tube (12). ### Claim 25 (depends on 1) The measuring system as claimed in claim 1, wherein the measuring- and operating electronics is adapted to generate an excitation signal (e) driving the exciter mechanism (E), especially its at least one oscillation exciter (41), for exciting mechanical oscillations of the tubes; and wherein the exciter mechanism (E) is adapted, under influence of the excitation signal (e), to excite, and to maintain, mechanical oscillations of the tubes. ### Claim 26 (depends on 1) The measuring system as claimed in claim 1, wherein the sensor arrangement (S) of the transducer apparatus is adapted to deliver at least one (first) oscillatory signal (s1) representing mechanical oscillations of at least one of the tubes. ### Claim 27 (depends on 26) The measuring system as claimed in claim 26, wherein the measuring- and operating electronics (ME) is adapted, with application of both the oscillation signal (s1) as well as also the first and second temperature measurement signals (θ1, θ2), to generate a measured value (Xx), which represents a measured variable (x), especially a substance or flow parameter, of a flowing fluid (FL1), especially a fluid flowing in a pipeline, especially a fluid in the form of a gas, a liquid or a flowable dispersion. ### Claim 28 (depends on 26) The measuring system as claimed in claim 26, wherein the measuring- and operating electronics (ME) is adapted, with application of the oscillation signal (s1), to generate a frequency measured value, which represents a frequency of mechanical oscillations of the first tube and/or of the second tube. ### Claim 29 (depends on 28) The measuring system as claimed in claim 28, wherein the measuring- and operating electronics (ME) is adapted, with application of the frequency measured value, especially with application of both the frequency measured value as well as also the temperature measured value, to generate a density measured value, namely a measured value representing density, ρ, of the fluid and/or a viscosity measured value, namely a measured value representing viscosity, η, of the fluid. ### Claim 30 (depends on 26) The measuring system as claimed in claim 26, wherein the sensor arrangement (S) of the transducer apparatus is adapted to deliver at least a second oscillatory signal (s2) representing mechanical oscillations of at least one of the tubes, especially in such a manner that between the first oscillatory signal (s1) and the second oscillatory signal (s2) a phase difference exists dependent on the mass flow rate of a fluid flowing through the first tube and/or on the mass flow rate of a fluid flowing through the second tube. ### Claim 31 (depends on 30) The measuring system as claimed in claim 30, wherein the measuring- and operating electronics (ME) is adapted, with application of both the first oscillation signal (s1) as well as also the second oscillation signal (s2), to generate a mass flow, measured value, namely a measured value representing a mass flow rate, m, of a fluid flowing through the first tube and/or through the second tube. ### Claim 32 (depends on 1) The measuring system as claimed in claim 1, wherein the measuring- and operating electronics (ME) is, furthermore, adapted, with application of both the first temperature measurement signal (θ1) as well as also the second temperature measurement signal (θ2), to generate a temperature deviation measured value, which represents a difference, especially an absolute or relative difference, between the first measuring point temperature (1) and the second measuring point temperature (9). ### Claim 33 (depends on 32) The measuring system as claimed in claim 32, wherein the measuring- and operating electronics (ME) is adapted, with application of the temperature deviation measured value, to monitor an ability of the transducer apparatus to function, especially an ability of the first tube to function and/or an ability of the second tube to function; and/or wherein the measuring- and operating electronics (ME) is adapted, with application of the temperature deviation measured value, to diagnose that the transducer apparatus has a flow resistance changed compared with an original flow resistance, especially, that at least one of the tubes of the transducer apparatus has a flow resistance changed compared with an original flow resistance and/or that the first tube has a flow resistance, which deviates from a flow resistance of the second tube; and/or wherein the measuring- and operating electronics (ME) is adapted, with application of the temperature deviation measured value, to generate an alarm, which signals a degraded ability of the transducer apparatus to function, especially as a result of a flow resistance of the first tube changed compared with an original flow resistance and/or as a result of a flow resistance of the second tube changed compared with an original flow resistance. ### Claim 34 (depends on 1) The measuring system as claimed in claim 1, wherein the measuring- and operating electronics (ME) has a multiplexer having at least two signal inputs as well as at least one signal output, which multiplexer (MUX) is adapted selectively, especially cyclically, to connect one of its signal inputs to the signal output, in such a manner that a signal on the connected signal input is forwarded to the signal output; and wherein the measuring- and operating electronics (ME) has an analog to digital converter (ADC), especially an analog to digital converter having a nominal resolution of greater than 16 bit and/or clocked with a sampling rate greater than 1000 s−, with at least one signal input and at least one signal output, which analog to digital converter is adapted to convert an analog input signal applied on the signal input, using a sampling rate, fA amounting, especially, to more than 1000 s−, and using a digital resolution, N amounting, especially, to more than 16 bit, into a digital output signal representing the input signal and to provide such to the signal output. ### Claim 35 (depends on 34) The measuring system as claimed in claim 34, wherein the at least one signal output of the multiplexer and the at least one signal input of the analog to digital converter are electrically coupled together; and wherein the first temperature sensor (71) and the second temperature sensor (72) are electrically connected with the multiplexer (MUX) in such a manner that the first temperature measurement signal (θ1) is connected to a first signal input of the multiplexer (MUX) and the second temperature measurement signal (θ2) is connected to a second signal input of the multiplexer (MUX). ### Claim 36 (depends on 35) The measuring system as claimed in claim 35, wherein the output signal of the analog to digital converter (ADC) at a given time represents exactly one of the two temperature measurement signals (θ1, θ2). ### Claim 37 (depends on 36) The measuring system as claimed in claim 36, wherein the measuring- and operating electronics (ME) is adapted to generate the transducer temperature measured value with application of output signal of the analog to digital converter (ADC) representing, alternatingly, one of the two temperature measurement signals (θ1, θ2). ### Claim 38 (depends on 1) The measuring system as claimed in claim 1, wherein the measuring- and operating electronics (ME) is adapted, with application of both the first temperature measurement signal (θ1) as well as also the second temperature measurement signal (θ2) to generate a measured fluid temperature measured value, namely a measured value representing a temperature of a fluid flowing through the first tube and/or a temperature of a fluid flowing through the second tube; and/or wherein the measuring- and operating electronics (ME) is adapted, with application of the first temperature measurement signal (θ1) and not of the second temperature measurement signal (θ2) to generate an auxiliary temperature measured value, which at least approximately represents the transducer apparatus temperature; and/or wherein the measuring- and operating electronics (ME) is adapted, with application of the second temperature measurement signal (θ2) and not of the first temperature measurement signal (θ1) to generate an auxiliary temperature measured value, which at least approximately represents the transducer apparatus temperature. ### Claim 39 (depends on 1) Use of a measuring system as claimed in claim 1 for measuring at least one physical, measured variable, especially density and/or viscosity and/or mass flow rate and/or volume flow rate, of a flowing fluid, especially a fluid flowing in a pipeline, especially a gas, a liquid or a flowable dispersion.