Apparatus and method for detecting cigarette filling force
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- ZHENGZHOU TOBACCO RES INST OF CNTC
- Filing Date
- 2022-12-29
- Publication Date
- 2026-07-03
AI Technical Summary
Existing technologies cannot accurately characterize the filling force of cigarettes, leading to quality problems such as empty ends and end-piece breaks in cigarette production. Furthermore, existing methods have significant errors in actual production.
A device for characterizing the filling mapping force of cigarettes is used, including a high-pressure gas source, a gas flow regulating device, a cigarette fixing device, a differential pressure detection device, and a controller. The filling mapping force of the tobacco is defined by friction, and the filling mapping force of the cigarette is calculated using a formula.
It can accurately and efficiently detect the filling force of cigarettes, solving the problem of deviation between the filling value characterization method and the actual state in the existing technology, and improving the accuracy of cigarette quality detection.
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Figure CN116183481B_ABST
Abstract
Description
Technical Field
[0001] This invention patent relates to the field of tobacco processing technology, specifically to a device and detection method for characterizing the filling mapping force of cigarettes. Background Technology
[0002] In the cigarette production process, quality problems such as empty ends, end-bursts, and tendency for cigarettes to fall off frequently occur due to poor cigarette packing capacity. These problems not only affect the taste of the cigarettes but also significantly impact the waste cigarette consumption per carton. Therefore, how to accurately characterize the packing capacity of cigarettes is an urgent problem to be solved.
[0003] Current methods for evaluating the mechanical properties of cigarette tobacco filling primarily rely on measuring the filling value. The filling value of cigarette tobacco refers to the volume occupied by a unit mass of cigarette tobacco under continuous pressure and time. This method focuses on the static compressive elasticity of the tobacco. However, in actual production, it has been found that this method of characterizing the filling value cannot accurately reflect the actual rolling effect of cigarettes. That is, even with equal filling values, there can be significant differences in the rolling effect. Therefore, using the filling value to characterize the mechanical properties of tobacco has a relatively large margin of error.
[0004] Patent CN 107153104B discloses a method for characterizing tobacco filling value through cigarette machine operating parameters. It utilizes the similarity between the process of tobacco adsorption in the cigarette machine's air chamber and the principle of filling value measurement, using the cigarette machine's operating parameters to reflect the state of tobacco filling value. In particular, by using the real-time position of the suction line during production, the tobacco filling value can be characterized more quickly and comprehensively, without the need for manual sampling and testing. The real-time parameter status of the equipment provides crucial information for guiding the production process. However, this method is for characterizing tobacco filling value during the cigarette-making process and is not applicable to already rolled cigarettes.
[0005] Force analysis of the tobacco shreds inside a cigarette reveals that they are subjected to buoyancy, gravity, drag, and friction. Pressure drop is a key parameter in solving for drag. Currently, the chemical industry uses methods to calculate the pressure drop of fluids flowing through a bed, employing the Eugène or Konzini equations based on the particle Reynolds number. However, this method is not feasible for cigarettes. First, the equivalent diameter of the bed is comparable to or even less than the equivalent diameter of the tobacco shreds, failing to meet the applicable conditions of the aforementioned equations. Furthermore, the wall effect significantly impacts the results. Second, due to the diverse shapes of tobacco shreds, the tobacco industry lacks fundamental data such as sphericity and drag coefficients required by the equations.
[0006] In order to solve the above problems, people have been seeking an ideal technological solution. Summary of the Invention
[0007] This invention addresses the problems of existing methods by proposing a device and detection method for characterizing the filling force of cigarettes based on friction, thereby expressing the filling capacity of tobacco materials in cigarettes. This invention enables accurate and efficient detection and evaluation of cigarette filling force.
[0008] To achieve the above objectives, the technical solution adopted by the present invention is: a device for characterizing the filling force of cigarettes, comprising a high-pressure gas source, a gas flow regulating device, a cigarette fixing device, a differential pressure detection device, and a controller;
[0009] The gas flow regulating device is connected to the high-pressure gas source at its inlet end and to the air flow pipe at its outlet end. The gas flow regulating device is connected to the controller and is used to regulate the flow rate of compressed air entering the air flow pipe so that the compressed air velocity in the air flow pipe increases linearly.
[0010] The cigarette holder fixing device is located at the air outlet of the airflow duct. When the cigarette to be tested is fixed on the cigarette holder fixing device, the mouthpiece of the cigarette is connected to the airflow duct.
[0011] The differential pressure detection device is connected to the airflow pipeline and is used to detect in real time the differential pressure generated by the compressed air in the airflow pipeline after passing through the cigarette to be tested.
[0012] The controller is connected to the differential pressure detection device and is used to calculate the filling mapping force of the cigarette to be tested based on the differential pressure value obtained by the differential pressure detection device and formulas (1)-(4);
[0013] (1)
[0014] (2)
[0015] (3)
[0016] (4)
[0017] In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
[0018] Specifically, the cigarette fixing device includes a cigarette holder, which includes a cigarette holding part with an axial through hole, one end of which is connected to the airflow pipe. In use, the cigarette to be tested is clamped in the axial through hole, wherein the mouthpiece of the cigarette is located at the end of the axial through hole that is connected to the airflow pipe.
[0019] Specifically, the length of the axial through hole is set as: the length of the cigarette mouthpiece - the length of the entire cigarette; the inner diameter of the axial through hole is set as: when the cigarette to be tested is inserted into the axial through hole, the wrapping force applied by the cigarette clamping part to the cigarette to be tested acts on the cigarette to be tested, so that the cross-sectional deformation of the cigarette to be tested is less than or equal to 5%.
[0020] The present invention also provides a method for detecting the filling mapping force of cigarettes, comprising the following steps:
[0021] Step 1: Select the cigarette to be tested, obtain the cross-sectional radius and mass of the cigarette, and calculate the cross-sectional area S of the cigarette based on the cross-sectional radius;
[0022] Step 2: Fix the cigarette to be tested on the cigarette fixing device, connect the outlet of the airflow pipe to the mouthpiece of the cigarette to be tested, connect the inlet of the airflow pipe to the outlet of the gas flow regulating device, and connect the inlet of the gas flow regulating device to the high-pressure gas source.
[0023] Step 3: Connect the differential pressure detection device to the airflow duct and turn on the differential pressure detection device to obtain the differential pressure generated by the compressed air in the airflow duct after passing through the cigarette to be tested in real time.
[0024] Step 4: Turn on the high-pressure gas source and adjust the gas flow regulating device through the controller to make the compressed air flow rate in the airflow pipeline increase linearly; at the same time, collect the differential pressure value of the differential pressure detection device. When the differential pressure value is detected to gradually increase with the increase of the compressed air flow rate, continue the detection until the differential pressure value is detected to suddenly decrease with the increase of the compressed air flow rate and the decrease threshold is the first threshold, then stop the detection.
[0025] Step 5: Select the maximum value of the differential pressure detection device during the detection process as the reading of the differential pressure detection device, and calculate the filling mapping force of the cigarette to be tested based on formulas (1)-(4):
[0026] (1)
[0027] (2)
[0028] (3)
[0029] (4)
[0030] In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
[0031] This invention has outstanding substantive features and significant progress. Specifically, this invention treats all the tobacco shreds inside the cigarette as a whole and uses friction to define the tobacco filling mapping force. This can solve the problem that the current method of using filling value to characterize cigarette filling force deviates from the actual state, and can accurately and efficiently detect and evaluate cigarette filling force.
[0032] In the process of solving frictional force, the fluidization theory is applied to solve the frictional force between tobacco and cigarette paper. Specifically, the drag force is calculated by the pressure drop and cross-sectional area at both ends of the cigarette, and then the frictional force between tobacco and cigarette paper is obtained by mechanical equilibrium. This can improve the understanding of the filling capacity of tobacco and provide a theoretical basis for optimizing the physical quality level of cigarettes.
[0033] The device of the present invention has a simple structure, is easy to operate, and is easy to promote widely. Attached Figure Description
[0034] Figure 1 This is a schematic diagram of the device described in this invention.
[0035] Figure 2 This is a schematic diagram of one embodiment of the device described in this invention.
[0036] Figure 3 This is a schematic flowchart of the detection method of the present invention.
[0037] In the diagram: 1. High-pressure gas cylinder; 2. Valve; 3. Cigarette to be tested; 4. Cigarette holder; 5. Connecting pipe; 6. Airflow meter; 7. Differential pressure detection device; 8. Airflow pipe. Detailed Implementation
[0038] The features and exemplary embodiments of various aspects of the present invention will now be described in detail. To make the objectives, technical solutions, and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only configured to explain the present invention and are not configured to limit the present invention.
[0039] It will be apparent to those skilled in the art that the present invention can be practiced without requiring some of these specific details. The following description of embodiments is merely intended to provide a better understanding of the invention by illustrating examples of the invention.
[0040] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising..." does not exclude the presence of additional identical elements in the process, method, article, or apparatus that includes said element.
[0041] The technical solution of the present invention will be further described in detail below through specific embodiments. Example 1
[0042] like Figure 1 As shown, the present invention provides a device for characterizing the filling mapping force of cigarettes, including a high-pressure gas source, a gas flow regulating device, a cigarette fixing device, a differential pressure detection device, and a controller;
[0043] The gas flow regulating device is connected to the high-pressure gas source at its inlet end and to the airflow pipe 8 at its outlet end. The gas flow regulating device is connected to the controller and is used to regulate the flow rate of compressed air entering the airflow pipe 8 so that the compressed air velocity in the airflow pipe 8 increases linearly.
[0044] The cigarette holder fixing device is located at the air outlet of the airflow pipe 8. When the cigarette 3 to be tested is fixed on the cigarette holder fixing device, the mouthpiece of the cigarette is connected to the airflow pipe 8.
[0045] The differential pressure detection device 7 is connected to the airflow duct 8 and is used to detect in real time the differential pressure generated by the compressed air in the airflow duct 8 after passing through the cigarette 3 to be tested.
[0046] The controller is connected to the differential pressure detection device 7 and is used to calculate the filling mapping force of the cigarette 3 to be tested based on the differential pressure value obtained by the differential pressure detection device 7 and formulas (1)-(4);
[0047] (1)
[0048] (2)
[0049] (3)
[0050] (4)
[0051] In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
[0052] This invention treats all the tobacco shreds inside the cigarette as a whole and uses friction to define the tobacco filling mapping force. This can solve the problem that the current method of using filling value to characterize cigarette filling force deviates from the actual state, and can accurately and efficiently detect and evaluate cigarette filling force.
[0053] In a specific implementation, the controller is a PC; the high-pressure gas source is a high-pressure gas cylinder 1 or an air compressor with pressure regulation function, and the high-pressure gas cylinder 1 or the air compressor is used to provide compressed air to the gas flow regulation device;
[0054] In a specific implementation, the gas flow regulating device includes a valve and a gas flow meter 6. The valve and the gas flow meter 6 are respectively connected to the controller and are used to regulate the flow rate of compressed air entering the gas flow pipe 8 according to a preset regulation program, so as to linearly increase the flow rate of compressed air in the gas flow pipe 8.
[0055] In specific implementation, the cigarette fixing device includes a cigarette holder 4, which includes a cigarette holding part with an axial through hole. One end of the axial through hole is connected to the airflow pipe 8. In use, the cigarette to be tested 3 is clamped in the axial through hole, wherein the mouthpiece of the cigarette is located at the end of the axial through hole that is connected to the airflow pipe 8.
[0056] The length of the axial through hole is set as: the length of the cigarette mouthpiece - the length of the entire cigarette; the inner diameter of the axial through hole is set as: when the cigarette to be tested 3 is inserted into the axial through hole, the wrapping force applied by the cigarette clamping part to the cigarette to be tested 3 acts on the cigarette to be tested 3, so that the cross-sectional deformation of the cigarette to be tested 3 is less than or equal to 5%.
[0057] It is understood that when the cross-sectional deformation of the cigarette 3 to be tested is greater than 5%, it means that the airflow channel provided by the cigarette 3 to be tested becomes smaller, thereby increasing the gas velocity flowing through the cigarette 3 to be tested, which in turn reduces the pressure in the downstream pipe or the downstream environment of the cigarette, thus affecting the pressure difference between the two ends of the cigarette 3 to be tested.
[0058] Furthermore, in order to fix the cigarette holder 4 and prevent inaccurate differential pressure measurement due to movement of the cigarette holder 4 during the detection process, the cigarette holder 4 also includes a fixed base, which is connected to the cigarette clamping part through a connecting rod.
[0059] Furthermore, the cigarette holder fixing device also includes a connecting pipe 5, one end of which is connected to the airflow pipe 8 via the connecting pipe 5.
[0060] In one specific embodiment, the differential pressure detection device 7 can directly adopt an existing differential pressure measuring device. The differential pressure measuring device introduces gas from the upstream airflow pipe 8 of the cigarette to be tested 3 and gas from the downstream pipe or downstream environment of the cigarette to be tested 3, respectively, to directly obtain the differential pressure generated after the air in the airflow pipe 8 passes through the cigarette to be tested 3.
[0061] In another specific embodiment, the differential pressure detection device 7 can also be two independent pressure sensors. One pressure sensor is set on the airflow duct 8 to collect the gas pressure upstream of the cigarette 3 to be tested, and the other pressure sensor is set in the downstream duct or downstream environment of the cigarette to collect the gas pressure downstream of the cigarette 3 to be tested. Based on the gas pressure upstream of the cigarette 3 to be tested and the gas pressure downstream of the cigarette 3 to be tested, the differential pressure generated by the airflow duct 8 after passing through the cigarette 3 to be tested is calculated. Example 2
[0062] This embodiment provides a specific implementation of a device for characterizing the filling mapping force of cigarettes, such as... Figure 2 As shown, the high-pressure gas source is a high-pressure gas cylinder 1, and the gas flow regulating device includes a valve and a gas flow meter 6. The valve is located at the outlet of the high-pressure gas cylinder 1, and the gas flow meter 6 is located on the gas flow pipe 8. The cigarette fixing device includes a cigarette holder 4 and a connecting pipe 5. The cigarette holder 4 includes a fixed base and a cigarette holding part connected to the fixed base. The differential pressure detection device 7 adopts an existing differential pressure measuring device.
[0063] Specifically, the airflow pipe 8 is a three-way pipe, one end of which is connected to the high-pressure air source, the other end of which is connected to the connecting pipe 5, and the middle end of which is connected to the differential pressure detection device 7. Example 3
[0064] This embodiment provides a method for detecting the filling mapping force of cigarettes, such as... Figure 3 As shown, it includes the following steps:
[0065] Step 1: Select the cigarette to be tested 3, obtain the cross-sectional radius and mass of the cigarette, and calculate the cross-sectional area S of the cigarette based on the cross-sectional radius;
[0066] Step 2: Fix the cigarette to be tested 3 on the cigarette fixing device, connect the outlet of the airflow pipe 8 to the mouthpiece of the cigarette to be tested 3, connect the inlet of the airflow pipe 8 to the outlet of the gas flow regulating device, and connect the inlet of the gas flow regulating device to the high-pressure gas source.
[0067] Step 3: Connect the differential pressure detection device 7 to the airflow duct 8 and turn on the differential pressure detection device 7 to obtain the differential pressure generated by the compressed air in the airflow duct 8 after passing through the cigarette 3 to be tested in real time.
[0068] Step 4: Turn on the high-pressure gas source and adjust the gas flow regulating device through the controller to make the compressed air flow rate in the airflow pipe 8 increase linearly; at the same time, collect the differential pressure value of the differential pressure detection device 7. When it is detected that the differential pressure value gradually increases with the increase of the compressed air flow rate, continue to detect until it is detected that the differential pressure value suddenly decreases with the increase of the compressed air flow rate and the decrease threshold is the first threshold, then stop the detection.
[0069] Step 5: Select the maximum value of the differential pressure detection device 7 during the detection process as the reading of the differential pressure detection device 7, and calculate the filling mapping force of the cigarette 3 to be tested based on formulas (1)-(4):
[0070] (1)
[0071] (2)
[0072] (3)
[0073] (4)
[0074] In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
[0075] In this embodiment, the principle of the differential pressure detection device 7 is as follows: In the initial stage of detection, the compressed air velocity in the airflow pipe 8 is relatively low, which is insufficient to blow the tobacco in the cigarette 3 to be tested. At this time, the differential pressure generated by the compressed air passing through the cigarette 3 to be tested will gradually increase as the compressed air velocity in the airflow pipe 8 gradually increases linearly. When the compressed air velocity in the airflow pipe 8 increases to a certain value, the tobacco in the cigarette 3 to be tested is blown away, and the differential pressure generated by the compressed air passing through the cigarette 3 to be tested will decrease. What we need to obtain is the differential pressure value corresponding to the critical point at which the tobacco in the cigarette 3 to be tested is blown away, and the critical air velocity value when the tobacco is blown away.
[0076] Observing the differential pressure curve, it can be found that the differential pressure curve is similar to a parabola. The maximum value of the parabola is the maximum value of the differential pressure of the differential pressure detection device 7 during the detection process.
[0077] Specifically, the first threshold is 10%, that is, when the differential pressure value is detected to suddenly decrease with the increase of compressed air flow rate and the decrease threshold is 10%, the detection is stopped.
[0078] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them; although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications can still be made to the specific implementation of the present invention or equivalent substitutions can be made to some technical features without departing from the spirit of the technical solutions of the present invention, and all such modifications and substitutions should be covered within the scope of the technical solutions claimed in the present invention.
Claims
1. An apparatus for characterizing cigarette fill mapping forces, comprising: Includes a high-pressure gas source, a gas flow regulating device, a cigarette holder fixing device, a differential pressure detection device, and a controller; The gas flow regulating device is connected to the high-pressure gas source at its inlet end and to the air flow pipe at its outlet end. The gas flow regulating device is connected to the controller and is used to regulate the flow rate of compressed air entering the air flow pipe so that the compressed air velocity in the air flow pipe increases linearly. The cigarette holder fixing device is located at the air outlet of the airflow duct. When the cigarette to be tested is fixed on the cigarette holder fixing device, the mouthpiece of the cigarette is connected to the airflow duct. The differential pressure detection device is connected to the airflow duct and is used to detect in real time the differential pressure generated by the compressed air in the airflow duct after passing through the cigarette to be tested. The controller is connected to the differential pressure detection device and is used to adjust the gas flow rate adjustment device so that the compressed air velocity in the airflow pipe increases linearly. At the same time, the differential pressure value of the differential pressure detection device is collected. When the differential pressure value is detected to gradually increase with the increase of the compressed air velocity, the detection continues until the differential pressure value is detected to suddenly decrease with the increase of the compressed air velocity and the decrease threshold is the first threshold. The detection is then stopped. The maximum value of the differential pressure value of the differential pressure detection device during the detection process is selected as the reading of the differential pressure detection device, and the filling mapping force of the cigarette to be tested is calculated based on formula (1)-formula (4). (1) (2) (3) (4) In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
2. The device for characterizing cigarette filling mapping force according to claim 1, characterized in that: The high-pressure air source is a high-pressure gas cylinder or an air compressor with pressure regulation function. The high-pressure gas cylinder or the air compressor is used to provide compressed air to the gas flow regulation device.
3. The device for characterizing cigarette filling mapping force according to claim 1, characterized in that: The cigarette fixing device includes a cigarette holder, which includes a cigarette holding part with an axial through hole, one end of which is connected to the airflow pipe. In use, the cigarette to be tested is clamped in the axial through hole, wherein the mouthpiece of the cigarette is located at the end of the axial through hole that is connected to the airflow pipe.
4. The device for characterizing cigarette filling mapping force according to claim 3, characterized in that: The length of the axial through hole is set to the length of the cigarette mouthpiece to the length of the entire cigarette; the inner diameter of the axial through hole is set to the following: when the cigarette to be tested is inserted into the axial through hole, the wrapping force applied by the cigarette clamping part to the cigarette to be tested acts on the cigarette to be tested, such that the cross-sectional deformation of the cigarette to be tested is less than or equal to 5%.
5. The device for characterizing cigarette filling mapping force according to claim 3, characterized in that: The cigarette holder also includes a connecting pipe, and one end of the axial through hole is connected to the airflow pipe through the connecting pipe.
6. The device for characterizing cigarette filling mapping force according to claim 3, characterized in that: The cigarette holder also includes a fixed base, which is connected to the cigarette holder via a connecting rod.
7. The device for characterizing cigarette filling mapping force according to claim 1, characterized in that: The controller is a PC.
8. A method for detecting the filling mapping force of cigarettes, characterized in that, The detection method includes the following steps: Step 1: Select the cigarette to be tested, obtain the cross-sectional radius and mass of the cigarette, and calculate the cross-sectional area S of the cigarette based on the cross-sectional radius; Step 2: Fix the cigarette to be tested on the cigarette fixing device, connect the outlet of the airflow pipe to the mouthpiece of the cigarette to be tested, connect the inlet of the airflow pipe to the outlet of the gas flow regulating device, and connect the inlet of the gas flow regulating device to the high-pressure gas source. Step 3: Connect the differential pressure detection device to the airflow duct and turn on the differential pressure detection device to obtain the differential pressure generated by the compressed air in the airflow duct after passing through the cigarette to be tested in real time. Step 4: Turn on the high-pressure gas source and adjust the gas flow regulating device through the controller to make the compressed air flow rate in the airflow pipeline increase linearly; at the same time, collect the differential pressure value of the differential pressure detection device. When the differential pressure value is detected to gradually increase with the increase of the compressed air flow rate, continue the detection until the differential pressure value is detected to suddenly decrease with the increase of the compressed air flow rate and the decrease threshold is the first threshold, then stop the detection. Step 5: Select the maximum value of the differential pressure detection device during the detection process as the reading of the differential pressure detection device, and calculate the filling mapping force of the cigarette to be tested based on formulas (1)-(4): (1) (2) (3) (4) In formulas (1)-(4), f is the filling mapping force of the cigarette to be tested. The reading is from the differential pressure detection device; S is the cross-sectional area of the cigarette being tested. F b G represents the buoyancy force on the tobacco in the cigarette to be tested, and G represents the weight of the tobacco in the cigarette to be tested. R is the air density, R is the cross-sectional radius of the cigarette to be tested, L is the length of the tobacco section in the cigarette to be tested, and m is the mass of the cigarette to be tested.
9. The method for detecting the filling mapping force of cigarettes according to claim 8, characterized in that: The first threshold is 10%.