Evaporator structure combined with cylindrical mist capturing harp and manufacturing method
By installing a cylindrical mist catching harp on the outer diameter of the evaporator coolant conduit, the problems of reduced heat exchange efficiency and clogging of the existing evaporator when processing solid particles and liquid mist are solved, and a high-efficiency, stable and low-cost mist catching effect is achieved.
Patent Information
- Application Number
- CN202510937711.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-07-08
- Publication Date
- 2025-09-23
AI Technical Summary
The existing evaporator structure has problems such as reduced heat exchange efficiency and clogging when processing airflow containing solid particles or liquid mist, and the existing mist capture device has a complex structure, high cost and insufficient durability.
A cylindrical mist-catching harp is installed on the outer diameter of the coolant pipe. The cylindrical mist-catching harp consists of two circular rings and stainless steel filaments arranged at equal intervals. The surface wettability of the filaments is improved by electrochemical etching and chemical plating, and the filaments are fixed by ultrasonic welding. Combined with precise circular ring processing and assembly technology, a stable mist-catching structure is formed.
It improves heat exchange efficiency, extends equipment service life, reduces manufacturing costs, simplifies structure, improves fog capture efficiency and stability, and adapts to different fog concentration conditions.
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Figure CN120679180A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of evaporator structures, in particular to an evaporator structure combined with a cylindrical mist harp and a manufacturing method thereof. Background Art
[0002] The evaporator is a crucial component in heat exchange equipment. Its primary function is to achieve heat exchange through cold transfer, thereby achieving cooling or evaporation. Existing evaporator designs typically employ a U-shaped coolant conduit arrangement to maximize heat exchange area and efficiency. However, this traditional evaporator structure has limitations when handling airflow containing solid particles or liquid mist. These particles or mists easily condense on the conduit surface, reducing heat exchange efficiency and even causing blockages, impacting the normal operation of the equipment.
[0003] To overcome this problem, several improved solutions have been proposed, such as installing mist capture devices around the coolant pipes to capture mist and particles in the airflow. However, these devices are often complex, costly to manufacture, and difficult to maintain. Furthermore, existing mist capture devices lack efficiency and durability, failing to meet the requirements for long-term stable operation.
[0004] In response to the above-mentioned problems, the present invention proposes an evaporator structure combined with a cylindrical mist-catching harp. This structure effectively captures mist and particles in the airflow by sleeved with a cylindrical mist-catching harp on the outer diameter of the coolant conduit, thereby improving heat exchange efficiency and extending the service life of the equipment. Specifically, the cylindrical mist-catching harp consists of two circular rings and filaments arranged at equal intervals between the two circular rings. The filaments are made of stainless steel and have good corrosion resistance and mechanical strength, ensuring the stability and durability of the structure. This design not only simplifies the structure of the mist-catching device and reduces manufacturing costs, but also improves the mist-catching efficiency, solving the shortcomings of the existing technology. Summary of the Invention
[0005] In response to the shortcomings of the existing technology, the present invention provides an evaporator structure and manufacturing method combined with a cylindrical mist-catching harp, which solves the problems of insufficient wettability of the filament surface, low condensate collection efficiency, poor structural stability, and high manufacturing cost in traditional mist-catching devices.
[0006] To achieve the above objectives, the present invention is implemented through the following technical solutions: an evaporator structure combined with a cylindrical mist harp and a manufacturing method, comprising: Coolant conduit: The coolant conduit is arranged in a U shape and is located inside the evaporator, and is used to transfer cold energy to achieve heat exchange function; Cylindrical mist-catching harp: The cylindrical mist-catching harp is sleeved on the outer diameter of the coolant pipe, and each cylindrical mist-catching harp consists of two rings and filaments installed between the two rings and arranged at equal intervals.
[0007] Preferably, the filament is made of stainless steel.
[0008] Preferably, a method for manufacturing a cylindrical mist-catching harp structure comprises the following steps: Step 1: Substrate pretreatment: The stainless steel material that constitutes the ring and filament is surface-modified. Electrochemical etching technology is used to form a micro-nanoscale rough structure on the surface of the filament. A hydrophilic polymer coating with a thickness of 0.1-0.5μm is applied through a chemical plating process to improve the wettability of the filament surface and the adhesion of condensed water. Step 2: Ring processing: Use laser cutting technology to process the stainless steel plate into two rings of the same size, and open equally spaced positioning grooves on the inner side of the rings to fix the filaments. The positioning grooves are 0.2-0.5mm deep and 0.1-0.3mm wide. Step 3: Install the filaments. Arrange the surface-modified filaments evenly according to the designed spacing and embed them into the positioning grooves of the ring. Use ultrasonic welding technology to firmly connect the two ends of the filaments to the ring, ensuring that the connection strength is not less than 200N. Step 4: Assemble the whole structure by aligning the two rings with filaments in parallel and fixing them with bolts or snaps to form a complete cylindrical fog harp. The tension of the filaments can be controlled by adjusting the distance between the rings to keep it within the range of 50-100N. Step 5: Performance testing: testing the condensate collection efficiency of the cylindrical fog harp in a simulated fog environment, recording the amount of condensate per unit time, and adjusting the surface coating thickness and spacing parameters of the filaments based on the test results; Step 6: Optimization and improvement: Based on the test data, the structure of the cylindrical fog-catching harp is optimized, including increasing the number of filaments or adjusting the diameter of the ring, and finally obtaining a finished product that meets the needs of efficient fog capture.
[0009] Preferably, the hydrophilic polymer coating in step 1 is made of polyethylene glycol or polyacrylate material, and its contact angle is less than 10° to ensure excellent wetting performance.
[0010] Preferably, in step three, the spacing between the filaments is adjusted to a range of 1-3 mm to achieve the best condensation effect under different mist concentration conditions.
[0011] Preferably, in step five, the humidity of the simulated fog environment is controlled between 80% and 95%, and the temperature range is 15-25° C. to simulate actual application scenarios.
[0012] Preferably, after the optimization and improvement in Step Six, it further includes performing a mechanical strength test on the finished product and rejecting products with a tensile strength lower than 150 N or a condensate collection efficiency lower than 80%.
[0013] Preferably, the further optimization of the condensate collection efficiency based on the surface characteristics of the filaments further includes: Measuring the condensate adhesion force under different surface roughnesses and coating thicknesses and recording the corresponding data; Analyzing the relationship between the surface characteristics and the condensate collection efficiency; Adjusting the surface roughness Rz and coating thickness T of the filaments based on the measurement results; If the condensate adhesion force is F, and when F < Fmin, increase the coating thickness T = T + ΔT; when F > Fmax, reduce the roughness Rz = Rz - ΔRz, where F represents the condensate adhesion force, and Fmin and Fmax respectively represent the preset minimum and maximum adhesion force thresholds.
[0014] Preferably, the further optimization of the stability of the fog-catching harp based on the ring structure parameters further includes: Determining the physical parameters such as the diameter, thickness, and material strength of the ring; Comparing the effects on the overall structural stability and condensation efficiency under different parameter conditions; Selecting the optimal ring diameter D and thickness H based on the actual parameters; If the ring diameter is D, and when D < Dmin, increase the ring thickness H = H + ΔH; when D > Dmax, reduce the ring diameter D = D - ΔD, where Dmin and Dmax represent the set minimum and maximum diameter limits.
[0015] Preferably, the further adjustment of the performance of the fog-catching harp based on the filament tension further includes: Conducting experiments using filaments with specific elastic moduli and diameters; Investigating the effects of different tensions on the sliding speed and collection efficiency of the condensate; Selecting the most suitable tension range based on the filament characteristics and the target requirements; If the elastic modulus of the filament is E and the diameter is d, and the goal is to maximize the condensate collection efficiency, then when E * d ≥ Kmin, ensure that the tension is within the effective range, otherwise, the tension should be appropriately reduced.
[0016] The present invention provides an evaporator structure combined with a cylindrical fog-catching harp and a manufacturing method. It has the following beneficial effects: 1. By sleeving a cylindrical fog-catching harp on the outer diameter of the coolant conduit, the present invention effectively captures the fog and particles in the air flow, thereby improving the heat exchange efficiency and extending the service life of the equipment.
[0017] 2. The present invention significantly improves the adhesion and collection efficiency of condensed water by performing micro-nanoscale roughening treatment on the surface of the filaments and modifying the hydrophilic coating.
[0018] 3. The present invention ensures the stability and consistency of the fog harp structure and improves the overall performance through precise ring processing and filament installation technology.
[0019] 4. The present invention achieves efficient fog capture under different fog concentration conditions by optimizing the filament spacing and surface properties, meeting diverse application needs.
[0020] 5. The present invention ensures the reliability and practicality of the finished product and extends its service life by introducing mechanical strength testing and performance optimization links. BRIEF DESCRIPTION OF THE DRAWINGS
[0021] Figure 1 Schematic diagram of the structure of the cylindrical mist harp and the entire coolant conduit in the present invention; Figure 2 Schematic diagram of the three-dimensional structure of the cylindrical fog-catching harp of the present invention; Figure 3 Schematic diagram of the structure of the cylindrical mist harp and one of the coolant conduits in the present invention; Figure 4 Schematic diagram of the production process of the present invention; Figure 5 Schematic diagram of the process for optimizing condensed water collection efficiency by using filament surface characteristics in the present invention; Figure 6 Schematic diagram of the performance test process in the present invention; Figure 7 This is a schematic diagram of the optimized and improved process in the present invention; Figure 8 Schematic diagram of the mechanical strength test process in the present invention.
[0022] Among them, 1. Coolant duct; 2. Cylindrical mist-catching harp; 3. Ring; 4. Filament. DETAILED DESCRIPTION
[0023] The following will clearly and completely describe the technical solution of the present invention in conjunction with the accompanying drawings. Obviously, the embodiments described are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of the present invention.
[0024] The present invention provides an evaporator structure combined with a cylindrical mist harp and a manufacturing method thereof. By setting a cylindrical mist harp on the outer diameter of the coolant pipe, the mist and particles in the air flow are effectively captured, thereby improving the heat exchange efficiency and extending the service life of the equipment. Figure 1 To the attached Figure 8 Specific embodiments of the present invention are described in detail.
[0025] First, we introduce the composition of the overall structure and the functions of each component. Figure 1-Figure 3 As shown, the evaporator structure of the present invention includes a coolant conduit 1 and a cylindrical mist-catching harp 2. The coolant conduit 1 is arranged in a U shape and is located inside the evaporator, and is used to transfer cold to achieve a heat exchange function. The design of the coolant conduit 1 adopts a U-shaped arrangement, the purpose of which is to increase the heat exchange area and efficiency. The cylindrical mist-catching harp 2 is sleeved on the outer diameter of the coolant conduit 1, and its main function is to capture mist and particles in the airflow and prevent these substances from condensing on the surface of the coolant conduit, thereby avoiding blockage and improving heat exchange efficiency. The cylindrical mist-catching harp 2 consists of two rings 3 and filaments 4 installed between the two rings 3 and arranged at equal intervals. As shown Figure 2 The three-dimensional structure of the cylindrical mist-catching harp 2 clearly illustrates the layout of the ring 3 and filaments 4. The filaments 4 are made of stainless steel, which offers excellent corrosion resistance and mechanical strength, ensuring structural stability and durability. This design not only simplifies the structure of the mist-catching device but also reduces manufacturing costs.
[0026] Next, the method for making the cylindrical fog harp 2 will be described in detail. Figure 4-Figure 8 As shown in the figure, substrate pretreatment is the basic step of the entire process, and its purpose is to improve the wettability and condensed water adhesion of the filament 4 surface. In actual operation, 304 stainless steel is selected as the substrate because of its good corrosion resistance and mechanical strength. Electrochemical etching technology is used to form a micro-nanoscale rough structure on the surface of the filament 4. This process is achieved by controlling the current density and electrolyte composition. For example, in a 1 mol / L sulfuric acid solution, applying 20 mA / cm 2 A current density of 1000 nm and a duration of 10 minutes yielded a surface structure with an average roughness Rz of 1.5 μm. Subsequently, a 0.3 μm thick polyethylene glycol coating was applied using a chemical plating process. This coating had a contact angle of less than 10°, ensuring excellent hydrophilic properties. The surface of filament 4 exhibited a uniformly distributed micro- and nano-scale concave and convex structure, and the coating adhered tightly to the substrate surface, significantly improving the adhesion of condensed water.
[0027] Next is the processing of the ring 3. The design of this part directly affects the overall stability and installation accuracy of the fog harp. The ring 3 is made of a stainless steel plate with a thickness of 2mm through laser cutting technology, and its diameter is set to 300mm. In order to fix the filaments 4, equally spaced positioning grooves are opened on the inside of the ring. The groove depth is 0.3mm, the width is 0.2mm, and the spacing between adjacent grooves is 2mm. These parameters have been verified through multiple tests to ensure that the filaments 4 remain evenly arranged and not easy to loosen during the installation process. In addition, the edges of the positioning grooves are chamfered to reduce stress concentration and increase the connection strength.
[0028] Filament installation is one of the key steps in the entire process, and its quality directly determines the performance of the fog harp. The surface-modified filaments 4 are evenly arranged according to the designed spacing and embedded in the positioning groove of the ring 3. The diameter of the filament 4 is 0.5mm, the elastic modulus E is 200GPa, and the spacing is set to 2mm. This parameter can achieve the best condensation effect under different fog concentration conditions. In order to ensure that the connection strength is not less than 200N, ultrasonic welding technology is used to firmly connect the two ends of the filament to the ring. During the welding process, the ultrasonic frequency is set to 20kHz, the amplitude is 30μm, and the welding time is 2 seconds. This process not only ensures the reliability of the connection, but also avoids damage to the material properties of the heat-affected zone.
[0029] The overall assembly stage involves the parallel alignment and fixation of two rings 3 with filaments 4. The two rings 3 are fixed by bolts or snap-on structures to form a complete cylindrical fog-catching harp 2. During the assembly process, the distance between the rings needs to be adjusted to control the tension of the filaments so that it remains within the range of 75N. This tension range has been experimentally verified to maximize the efficiency of condensate collection while avoiding breakage of the filaments due to excessive stretching. Specifically, when the elastic modulus E of the filament is 200GPa and the diameter d is 0.5mm, the goal is to maximize the efficiency of condensate collection, and the condition E*d≥Kmin must be met, where Kmin is 100N·mm. If this condition is not met, the tension should be appropriately reduced to ensure that the filaments are within the effective working range.
[0030] Performance testing is a crucial step in verifying the effectiveness of a fog harp. The condensate collection efficiency of the cylindrical fog harp 2 was tested in a simulated fog environment. The test environment maintained a humidity of 90% and a temperature of 20°C to simulate a real-world application. The test setup consisted of a sealed fog generation chamber, humidity and temperature sensors, and a condensate collector. The amount of condensate generated per unit time was recorded using an electronic balance. Initial test results showed a condensate flow rate of 500 ml per hour. Based on these test results, the surface coating thickness and spacing parameters of the filaments 4 were further adjusted. For example, when the condensate adhesion F was less than the preset minimum adhesion threshold Fmin, the coating thickness T = T + ΔT was increased. When F was greater than the maximum adhesion threshold Fmax, the roughness Rz = Rz - ΔRz was reduced. Through repeated iterative optimization, the optimal condensate adhesion was determined to be achieved with a coating thickness of 0.3 μm and a roughness Rz of 1.5 μm.
[0031] The optimization and improvement phase aims to further enhance the performance and reliability of the fog harp. The optimization process includes adjustments based on surface properties, ring parameters, and filament tension. Regarding surface property optimization, the condensate adhesion force at different roughness levels and coating thicknesses was measured, and its relationship with condensate collection efficiency was analyzed. Experimental data showed that the condensate adhesion force F reached its optimal value when the roughness Rz was 1.5μm and the coating thickness T was 0.3μm. Regarding ring parameter optimization, the effects of different diameters and thicknesses on overall structural stability and condensation efficiency were compared. For example, when the ring diameter D was less than the set minimum diameter limit Dmin, the ring thickness H = H + ΔH was increased; when D was greater than the maximum diameter limit Dmax, the ring diameter D = D - ΔD was reduced. Ultimately, a ring diameter of 300mm and a thickness of 2mm were determined to achieve optimal structural stability and condensation efficiency. Regarding filament tension optimization, the effects of different tensions on condensate sliding velocity and collection efficiency were examined, ultimately selecting 75N as the most suitable tension range.
[0032] Mechanical strength testing of the finished product is the final step to ensure its reliability and practicality. This testing encompasses both tensile strength and condensate collection efficiency. The tensile strength test was conducted using a universal material testing machine at a loading rate of 1mm / min until the sample broke. The test results showed that the tensile strength of the finished products exceeded 150N, meeting the design requirements. The condensate collection efficiency test was conducted under the same simulated fog environment, and the final product achieved a condensate collection efficiency of 85%, far exceeding the minimum standard of 80%. After eliminating unqualified products, the final product met the requirements for efficient fog capture.
[0033] In summary, this invention successfully achieves efficient production of a cylindrical mist-collecting harp structure through a series of precise process steps and optimization measures. From substrate pretreatment to finished product testing, every step is rigorously controlled and repeatedly verified, ensuring the product's high performance and reliability. This invention not only addresses the challenges of traditional mist-collecting devices but also provides new insights and methods for technological development in related fields.
[0034] Implementation structure optimization plan: On the basis of the basic embodiment, the cylindrical fog harp of the present invention can further implement the following improved features: Multi-layer adjustable fog capture structure The cylindrical fog harp features a nested, scalable design, with radius adjustment achieved by assembling concentric rings of varying diameters. Specifically, the diameter tolerance of the rings (3) is controlled within ±5%, with a 0.5mm assembly gap between adjacent layers. Removable connection mechanisms (such as snap-fits or threaded fasteners) enable stacking of 1-3 layers, where: The single-layer structure is suitable for normal working conditions with humidity ≤ 75%; The double-layer structure is suitable for medium to high humidity environments of 75%-90%; The three-layer structure is specially designed for heavy fogging scenarios with humidity > 90%; Test data shows that when a double-layer structure is used, the capture efficiency is increased by 23.6% compared to a single-layer structure, and the pressure drop only increases by 8.2%.
[0035] Filament parameter optimization system The diameter of the filament 4 is preferably 250±10μm, processed by cold drawing process, with a surface roughness Ra≤0.8μm. The filament spacing is set using a dynamic adjustment mechanism, and the spacing adjustment range of 0.5-3mm can be achieved through a replaceable positioning template. Specific configuration solutions include: 0.5-1mm spacing: suitable for capturing coarse particles with a particle size of >50μm; 1-2mm spacing: a general solution to balance pressure drop and capture efficiency; 2-3mm spacing: Suitable for ventilation systems with low resistance requirements.
[0036] Multifunctional surface treatment process The filament surface treatment adopts a modular process route, which includes three treatment modes: Basic mode: Maintain the original surface of the stainless steel substrate, with a contact angle of 75°±5°; Hydrophilic mode: 0.2-0.5 μm polyethylene glycol coating is formed by chemical plating, with a contact angle of <10°; Hydrophobic mode: coated with 0.1-0.3μm fluorosilane coating, contact angle>120°; In actual application, when the air flow temperature is higher than the dew point, hydrophobic treatment is used to prevent premature condensation; when there is a phase change process, it is switched to hydrophilic treatment to enhance the condensation effect.
[0037] Composite diversion and collection device A water receiving assembly is provided below the cylindrical fog harp 2, and the assembly comprises: Guide trough: Aluminum alloy profile with 45° tilt design, surface anodized; Water collection tank: PP plastic container with splash-proof grille, adjustable capacity 500-2000ml; Guide ribs: V-shaped raised structure with a spacing of 10mm and a height of 2mm; The component is connected to the cylindrical fog harp 2 through a clip-on bracket. The distance between the upper edge of the guide groove and the bottom layer of filaments is controlled at 15±2mm, ensuring that the condensed water flows in a directional manner along the groove body, and the collection efficiency is increased to 92.3%.
[0038] This improved solution leverages the synergy of an adjustable structural design, a parameterized configuration system, and a composite flow guide device. While maintaining the advantages of the basic embodiment, it significantly expands the device's adaptability and capture efficiency. In particular, the combined use of the flow guide and collection device and the multi-layered mist capture structure successfully resolves the secondary entrainment problem present in traditional devices, demonstrating significant technological advancement.
[0039] While embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions, and variations may be made to these embodiments without departing from the principles and spirit of the invention, and that the scope of the invention is defined by the appended claims and their equivalents.
Claims
1. An evaporator structure combined with a cylindrical mist harp, characterized in that: include: Cooling liquid conduit (1): the cooling liquid conduit (1) is arranged in a U shape and is located inside the evaporator, and is used to transfer cold energy to achieve a heat exchange function; Cylindrical mist harp (2): The cylindrical mist harp (2) is sleeved on the outer diameter of the coolant conduit (1), and each cylindrical mist harp (2) is composed of two rings (3) and filaments (4) installed between the two rings (3) and arranged at equal intervals.
2. The evaporator structure combined with a cylindrical mist harp according to claim 1, characterized in that: The filament (4) is made of stainless steel.
3. A method for manufacturing a cylindrical fog-catching harp structure, characterized in that: The following steps are involved: Step 1: pre-treatment of the substrate, performing surface modification on the stainless steel material constituting the ring (3) and the filament (4), forming a micro-nanoscale rough structure on the surface of the filament (4) by electrochemical etching technology, and coating a hydrophilic polymer coating with a thickness of 0.1-0.5 μm by chemical plating process; Step 2: Ring processing: the stainless steel plate is processed into two rings (3) of the same size by laser cutting technology, and positioning grooves with equal spacing are opened on the inner side of the rings for fixing the filaments (4). The positioning grooves have a depth of 0.2-0.5 mm and a width of 0.1-0.3 mm; Step 3: Install the filaments (4). Arrange the surface-modified filaments (4) evenly according to the designed spacing and embed them into the positioning grooves of the ring (3). Use ultrasonic welding technology to firmly connect the two ends of the filaments (4) to the ring to ensure that the connection strength is not less than 200N. Step 4: Assemble the whole, align the two rings (3) with the filaments (4) in parallel and fix them with bolts or snap-fit structures to form a complete cylindrical fog harp (2), and control the tension of the filaments (4) by adjusting the spacing between the rings (3) to keep it within the range of 50-100N; Step 5: Performance test, testing the condensed water collection efficiency of the cylindrical fog harp (2) in a simulated fog environment, recording the amount of condensed water per unit time, and adjusting the surface coating thickness and spacing parameters of the filaments (4) according to the test results; Step 6: Optimization and improvement: Based on the test data, the structure of the cylindrical fog harp (2) is optimized, including increasing the number of filaments (4) or adjusting the diameter of the ring (3). The number of layers of the cylindrical fog harp (2) can also be increased, that is, multiple layers of cylindrical fog harps (2) are arranged in a coaxial cylinder.
4. The method for manufacturing a cylindrical fog-catching harp structure according to claim 3, characterized in that: The hydrophilic polymer coating in step 1 is made of polyethylene glycol or polyacrylate material, and its contact angle is less than 10°.
5. The method for manufacturing a cylindrical fog-catching harp structure according to claim 3, characterized in that: In step three, the spacing between the filaments (4) is adjusted to a range of 1-3 mm to achieve the best condensation effect under different fog concentration conditions.
6. The method for manufacturing a cylindrical fog-catching harp structure according to claim 3, characterized in that: In the step 5, the humidity of the simulated fog environment is controlled between 80% and 95%, and the temperature range is 15-25°C.
7. The evaporator structure and manufacturing method combined with a cylindrical mist harp according to claim 3, characterized in that: After the optimization and improvement of step six, the finished product is also subjected to a mechanical strength test to eliminate products with a tensile strength lower than 150N or a condensed water collection efficiency lower than 80%.
8. The method for manufacturing a cylindrical fog-catching harp structure according to claim 3, characterized in that: The surface characteristics of the filaments (3) are further adapted to optimize the condensed water collection efficiency by: Measure the condensation water adhesion under different surface roughness and coating thickness, and record the corresponding data; Analyze the relationship between surface properties and condensate collection efficiency; Adjust the surface roughness Rz and coating thickness T of the filament (4) based on the measurement results; If the condensation water adhesion is F, and when F is less than Fmin, increase the coating thickness T=T+ΔT; when F is greater than Fmax, reduce the roughness Rz=Rz-ΔRz, where F represents the condensation water adhesion, Fmin and Fmax represent the preset minimum and maximum adhesion thresholds, respectively.