Nirmion
ช่วย ค้นหาเครื่องมือ

TRANSPORT PHYSICS / DIMENSIONLESS RATIO

Marangoni Number Surface Flow Calculator

Compare thermocapillary forcing with viscous and thermal diffusion using an absolute surface-tension slope.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

METHOD / WORKED EXAMPLE

Interpret Marangoni Number Surface Flow with its scale choices visible

Compare thermocapillary forcing with viscous and thermal diffusion using an absolute surface-tension slope. The ratio becomes dimensionless only when every property uses coherent units and one physical state.

WORKED DEFAULT

Check the calculation with the default inputs

With the displayed liquid properties, 10 K, and 0.01 m, the Marangoni number is about 69,930.07.

  1. Prepare coherent termsForm thermocapillary numerator
  2. Apply the ratioForm viscous-diffusive scale
  3. Review physical meaningDivide and inspect interface model

READ THE RESULT

Interpret the output in context

The group compares thermocapillary and diffusion scales; it does not prove instability or predict interfacial velocity.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • The slope magnitude is locally representative and sign is handled separately.
  • Interface length and properties describe one liquid state.

Surface contamination, deformation, gravity, evaporation, boundaries, nonlinear slope, and critical criteria require separate analysis.

COMMON QUESTIONS

Marangoni Number Surface Flow Calculator FAQs

Which inputs must match for Marangoni Number Surface Flow Calculator?

Use one coherent SI unit system, physical state, geometry, and documented characteristic scale across every input. The slope magnitude is locally representative and sign is handled separately. Interface length and properties describe one liquid state. Confirm whether each property belongs to the fluid, solid, interface, particle, or transported quantity named by the formula. Mixed conventions can produce a plausible number whose physical meaning is wrong.

What does Marangoni Number Surface Flow reveal and conceal?

The group compares thermocapillary and diffusion scales; it does not prove instability or predict interfacial velocity. A dimensionless group compares selected mechanisms under a stated model; it does not prove a regime, transition, instability, similarity, or safe design. Geometry, boundary conditions, property variation, measurement uncertainty, and the validity range of downstream correlations still require separate review.

Can Marangoni Number Surface Flow Calculator replace engineering analysis?

No. This educational calculator performs displayed arithmetic on supplied SI values; it is not simulation, experimental validation, a correlation selector, material data, or engineering approval. Surface contamination, deformation, gravity, evaporation, boundaries, nonlinear slope, and critical criteria require separate analysis. Retain source values, units, property temperatures, geometry definitions, and uncertainty, then obtain qualified review before using the result for design or safety decisions.

RELATED TOOLS

Continue the calculation

Use boundary

Calculation path

Form slope times temperature difference times length, then divide by viscosity times thermal diffusivity.

Calculation path

Ma = |d sigma/dT| delta T L / (mu alpha).