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Updated: Jun 25, 2026

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films

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Published on: August 18, 2018

Analytical solution for inviscid flow inside an evaporating sessile drop.

Hassan Masoud¹, James D Felske

¹Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, New York 14260, USA. hmasoud@eng.buffalo.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 5, 2009

Summary

This study analyzes inviscid flow in evaporating sessile drops, providing an exact analytical solution for stream functions. It covers various contact angles and evaporation conditions, offering insights into fluid dynamics during droplet evaporation.

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Area of Science:

Fluid dynamics
Thermodynamics
Surface science

Background:

Sessile drops are common in nature and industry.
Evaporation drives fluid flow within these drops.
Understanding this flow is crucial for applications like heat transfer and material deposition.

Purpose of the Study:

To analyze inviscid flow within evaporating sessile drops.
To obtain an exact analytical solution for the stream function.
To investigate the influence of contact angle and evaporative flux distribution.

Main Methods:

Solving the field equation E;{2}psi=0 for the stream function.
Analytical derivation of the solution.
Numerical computations for specific evaporation scenarios.

Main Results:

An exact analytical solution for the stream function was obtained.
Flow patterns were illustrated for wetting and nonwetting contact angles.
Limiting behaviors for small contact angles and hemispherical shapes were analyzed.

Conclusions:

The study provides a comprehensive analytical framework for inviscid flow in evaporating sessile drops.
The findings are applicable to various contact angles and evaporation conditions, including pinned and moving contact lines.
This research contributes to a fundamental understanding of droplet evaporation dynamics.