Wilhelmy method
Susanna Laurén Dec 10, ’24 < 4 min

Understanding the importance of fiber diameter in Wilhelmy method

When using the Wilhelmy method for contact angle measurements, the thickness and the width of the sample need to be known as the wetted length is directly proportional to the force measured during the experiment. In many cases, this is not a problem as dimensions are easily measured. However, in the case of a fiber, the diameter of the fiber is not necessarily known and due to its small size, the measurement can be tricky. In this blog post, the importance of the fiber diameter is discussed, and different measurement methods are proposed.   

The impact of fiber diameter on measurement accuracy

In the figure below, we explore how errors in fiber diameter (0.5 % to 3 %) can affect the accuracy of contact angle measurements at various contact angles. The data shows that when contact angles are at extreme values—either very low or very high—the results are particularly sensitive to inaccuracies in fiber diameter. In case the absolute contact angle values need to be known, the accurate determination of the fiber diameter is thus critical.

However, one should note that if the purpose of the contact angle measurement is to compare different fibers with the same nominal diameter to each other, this can be done even without exact dimensions. The order of the samples in terms of wettability can be determined even if the absolute contact angle values are not correct. 

error in contact angle

Methods for measuring fiber diameter

In case the absolute diameter needs to be known, there are several ways to measure it:

Microscopy Techniques: These are the most accurate methods for measuring fiber diameter. However, they require access to a microscope, which may not always be available.

Using a Force Tensiometer: If a microscope is not available, a force tensiometer can be used to determine fiber diameter. This method involves measuring the fiber against a liquid with a contact angle of zero.

Here’s how it works:

  1. Begin the measurement before the fiber touches the liquid surface.
  2. Record the initial force increase as the liquid contacts the fiber.
  3. Since the contact angle is assumed to be zero, the cosine of the contact angle is 1. This simplifies the calculation of the fiber diameter using the force measurement.
  4. Repeat the measurement at least 3 times and calculate the average fiber diameter. 

To learn more about how to measure the wettability of fibers and how the fiber diameter can be determined, please watch the webinar through the link below.

Fiber wetting
Webinar

Watch the webinar on fiber wettability

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Related products

   Sigma 700/701 State of the art force tensiometers with outstanding versatility and high  level of automation.

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