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sales@kinochina.com
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Corona Industries Inc. (Strategic Partner: Shanghai Solon Information Technology Co., Ltd.)
sales@kinochina.com
D1-3F, No. 128 Shenfu Road, Xinzhuang Industrial Park, Minhang District, Shanghai
There are two main methods for calculating the contact angle of video optical contact angle measuring instruments: geometric model method andYoung-LaplaceThe equation method and its extension methods are as follows:
1、 Geometric modeling method
Geometric assumptions or segmented optimization based on droplet contours are suitable for rapid estimation and asymmetric droplet analysis, ignoring physical field coupling effects.
method |
Principles and Formulas |
Scope of application |
advantage |
局限性 |
literature/source |
1. θ/2Method (Arc Approximation) |
Assuming the droplet is spherical in shape and has a circular arc contour. Formula:��=2arctan(ℎ��)θ=2arctan(rh). |
Small droplets(Bo<0.1)Superhydrophobic surface |
Fast calculation, no need for complex equipment |
Neglecting gravity and droplet deformation results in low accuracy |
Adamson《Physical Chemistry of Surfaces |
2. How to translate |
Elliptical fitting methodFitting deformed droplets through elliptic equations (such as approaching contact angles)0°or |
180°)Calculate the long and short axes or eccentricity.hydrophilic |
/ |
Hydrophobic wetting surface |
Dealing with large deformationsRelying on the ideal ellipse assumption, accuracy is limited |
3. Butt & Kappl |
Adv. Colloid Interface Sci. |
Tangent method |
Draw a tangent line manually or using image method at the three-phase contact point for direct measurement. |
Laboratory static droplets, high-resolution images |
Intuitive and simpleLarge subjective error, not suitable for dynamic scenes |
4. DrelichLangmuirpolynomial |
/Spline drafting is legalFit the contour of the droplet with a high-order function and obtain the slope of the tangent by taking the derivative. Formula:��=arctan(��������)θ=arctan(dxdy |
) |
. |
Non ideal contour droplet |
Strong flexibility, suitable for non spherical dropletsRisk of overfitting, parameters need to be optimized |
StalderRev. Sci. Instrum. |
5. TrueDrop®technologySegmented calculation of asymmetric droplet profileIterative optimization of high fitting factor models, supporting progress |
/ |
Backward angle and rolling angle measurement. |
Industrial testing, dynamic wetting process (such as rolling angle) |
Non axisymmetric modeling, supporting complex parameters2006Dependent on algorithm convergence, calibration is required |
Shanghai Solon Technology()II
Young-LaplaceFirst principles method for equationsBased on the physical equilibrium equation, dividenon-dimensionalizationand
Dimensionalization1Two types, suitable for high-precision and complex scene analysis.()Dimensionless processing method(
Dimensionless Analysis |
) |
method |
Core parameters |
Scope of application |
advantage |
局限性literature |
Select PlanelawBondNumber of(����2=������ |
�� |
) |
Static droplets, unified scale modeling |
Avoiding dimensional interference and simplifying multi-scale simulationsDependent on empirical parameters, not applicable to dynamic scenariosRotenberg1983J. Colloid Interface Sci. |
() |
Sessile Dropiterative methodDroplet height |
/Diameter ratio or inclination angleGentle gravity field( |
Bo<1 |
) |
Clear physical meaning, moderate accuracyLong iteration time, relatively few selected points, low accuracy, and low sensitivityHansen1999Colloids Surf. A |
(2)()Dimensionalization processing method(
Dimensional Analysis |
) |
method |
Scope of application |
advantage局限性literature |
/ |
source |
ADSA®-P |
Axial symmetric droplets, high-precision static measurement |
No need for empirical parameters, direct physical modelingOnly supports axial symmetryNeumann2002Adv. Colloid Interface Sci. |
( |
)ADSA®-RealDrop®tilt |
/ |
Non axisymmetric droplets, multiple physical fields Eliminate symmetry assumption and support dynamic wetting |
High computational complexity, requiring high-performance hardware2010High sensitivity and high testing accuracy |
Shanghai Solon Technology(
) |
3、 Business Technology Comparison |
technology |
principle |
Applicable scenarios |
advantage |
business source |
TrueDrop® |
Geometric segmentation optimization |
Industrial online detection (rolling angle, dynamic wetting)2006Asymmetric modeling, efficient algorithm |
Shanghai Solon Technology( |
)ADSA®-RealDrop®Dimensional |
Young-Laplace |
equation |
High precision measurement for scientific research (non axisymmetric droplets)2010Physically rigorous, supporting complex field coupling |
)
| 1、 Systematic deficiencies and elimination suggestions of traditional methods | 1. The essential limitations of geometric approximation method | method | Theoretical flaws |
|---|---|---|---|
| Practical failure scenarios | Elimination criteria | Circle/ellipse method | Forcing droplets to conform to ideal geometric shapes (spherical/elliptical) violates the physical laws of real solid-liquid interactions |
| When the contact angle is greater than 150 ° or less than 30 °, the error exceeds ± 8 ° | Prohibited for use in quality inspection reports | polynomial fitting | Mathematical overfitting leads to a lack of physical meaning, and the dx/dy derivative method amplifies image noise |
| Non Newtonian fluid measurement generates phantom contact lines | Cancel the certification qualification of this method according to the standard | Tangent method | The subjective deviation of>± 5 ° introduced by human eye interpretation fundamentally conflicts with the requirements of automation and industrial control |
Research paper review requires the prohibition of subjective measurement methods
The ban rate of journal statistics is 89%2. Applicability trap of dimensionless Young Laplace method
Dimension missingCompressing physical information through dimensionless parameters such as Bond number, losing the ability to characterize real material properties
Scene limitationsOnly applicable to narrow ranges of 0.7>Bo>0.4 (corresponding to droplet diameters of 0.5-2mm in aqueous solutions), unable to test droplets of B0<0.2, unable to test non axisymmetric droplets, and unable to extend to industrial scenarios such as molten metal and viscoelastic fluidsPrecision ParadoxClaiming to be 'physically precise' but relying on
The actual repeatability error is ± 2 °
| 2、 Technological breakthroughs in the new generation of industrial grade solutions | 1. TrueDrop ® Technical System (Geometry Physics Hybrid Model) | Innovation dimension |
|---|---|---|
| technical implementation | Industrial validation data | Asymmetric modeling |
| Independent segmented iteration of left and right contours (supports up to multiple surface differentiation), eliminating the influence of substrate tilt/roughness | Car windshield wiper test error<± 0.8 ° | dynamic tracking |
| 200fps high-speed contour capture+inertial motion compensation algorithm, supporting online detection of vibration environment | Stability of Wetting Speed Monitoring in Mobile Phone Drop Test | Multi parameter coupling |
Synchronize output rolling angle/hysteresis angle/three-phase line tension distribution to meet professional standards
Full parameter certification of aerospace sealing materials
Typical application scenarios
Consumer Electronics: Dynamic Durability Test of Hydrophobic Coating on Folding Screen Phone Spindle Area
New Energy: Simulation of Raindrop Rolling at a 15 ° Tilt Angle with Self Cleaning Coating on Photovoltaic Panels
| Biomedical: Evaluation of Antithrombotic Performance of Artificial Heart Valve under Pulsatile Flow State | 2. ADSA ®- RealDrop ® Technical System (Full Physical Field Modeling) | Ability to analyze physical fields |
|---|---|---|
| mathematical model | Research grade precision indicators | Non axisymmetric |
| 3D surface coordinate transformation+anisotropic surface tension tensor | Surface substrate measurement error<± 0.12 ° (RMS) | Multi physics field coupling |
| Variational solution of coupled multi parameter embedding Young Laplace equation | Suitable for high-temperature alloy melt at 1500 ℃ environment | real-time computing |
GPU parallel computing based on CUDA architecture, single frame 4K image processing time<3.8 seconds
Refer to relevant papers
Frontier research applications
Microgravity Environment: Study on Wetting Behavior of Container free Droplets in Space StationsSoft matter interface: quantitative inversion of the hysteresis effect of liquid crystal molecule orientation on contact angle