What Is the Marangoni Surface Tension Convection Calculator?
The Marangoni effect describes mass transfer along an interface between two phases due to a gradient in surface tension.
In thin liquid films or microgravity environments where buoyancy is negligible, Marangoni stress becomes the dominant driving mechanism.
How Does the Marangoni Surface Tension Convection Calculator Work?
The temperature gradient induces a surface shear stress τ = dγ/dx, pulling surface fluid toward colder zones.
Above the critical Marangoni number Mac ≈ 79.6, steady hexagonal convective cells (Bénard-Marangoni cells) emerge spontaneously.
Marangoni Surface Tension Convection Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Marangoni dimensionless number balancing thermocapillary traction against viscous and thermal dissipation.
How to Use the Marangoni Surface Tension Convection Calculator
- Input surface tension temperature coefficient, temperature gradient, layer thickness, viscosity, and thermal diffusivity.
- Review Marangoni number, surface shear stress, and convective pattern.
Step-by-Step Example Calculation
Microgravity Melt Pool Convection
Input Values:
Understanding Your Result
Responsible for the famous "tears of wine" phenomenon as alcohol evaporation creates localized surface tension gradients.
Factors That Affect the Result
- Surface-active agents (surfactants) can strongly alter or reverse the surface tension gradient.
When Should You Use This Calculator?
- Laser welding melt pool dynamics, crystal growth in microgravity, coating drying, and microfluidics.
Assumptions & Limitations
- Assumes a planar liquid layer with constant thermophysical properties.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Pearson (1958) linear stability theory for thermocapillary convection.