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Capillary Filling Washburn Equation Calculator

Easily calculate and compute capillary filling washburn equation calculator with accurate equations, live formulas, and expert guidance.

Surface tension of fluid.

Advancing contact angle.

Equivalent hydraulic radius.

Viscosity.

Spontaneous imbibition time.

Calculated Result
88.28 mm

Meniscus Penetration Distance x(t)

Meniscus Penetration Distance x(t)

88.28 mm

X Distance Mm

88.28492869148135

Instantaneous Velocity Mm S

4.414246434574068

X Distance M

0.08828492869148136

Pore Effective Radius Um

25

88.28 — mm

Calculation Breakdown

  1. Applied FormulaModels spontaneous passive capillary-driven flow and meniscus advancement velocity in microfluidic test strips and point-of-care diagnostics via the Lucas-Washburn law.x(t) = \sqrt{\frac{\gamma r \cos\theta}{2 \mu} \cdot t}

Washburn Capillary Filling Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.022446688Meniscus Penetration Distance x(t)

What Is the Capillary Filling Washburn Equation Calculator?

This tool computes capillary filling washburn equation calculator with high precision arithmetic.

How Does the Capillary Filling Washburn Equation Calculator Work?

Models spontaneous passive capillary-driven flow and meniscus advancement velocity in microfluidic test strips and point-of-care diagnostics via the Lucas-Washburn law.

Capillary Filling Washburn Equation Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

x(t)=γrcos⁡θ2μ⋅tx(t) = \sqrt{\frac{\gamma r \cos\theta}{2 \mu} \cdot t}

Models spontaneous passive capillary-driven flow and meniscus advancement velocity in microfluidic test strips and point-of-care diagnostics via the Lucas-Washburn law.

How to Use the Capillary Filling Washburn Equation Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Capillary Filling Washburn Equation Calculator Example

Input Values:

surfaceTensionMNM:72
contactAngleDeg:30
poreEffectiveRadiusUm:25
liquidViscosityCP:1
elapsedFillingTimeSec:10
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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