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Spreading of non-Newtonian liquids over solid substrates
V M Starov1, A N Tyatyushkin, M G Velarde
1Department of Chemical Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK. V.M.Starov@lboro.ac.uk
Journal of Colloid and Interface Science
|November 1, 2005
Summary
This study investigates non-Newtonian liquid drop spreading on solid surfaces. We derived spreading laws for gravitational and capillary regimes, revealing self-similar solutions for drop evolution.
Area of Science:
- Fluid Dynamics
- Materials Science
- Surface Science
Background:
- Understanding liquid drop spreading is crucial for various industrial applications.
- Non-Newtonian fluids exhibit complex flow behaviors not captured by simple models.
- Complete wetting and small dynamic contact angles simplify the theoretical analysis of spreading phenomena.
Purpose of the Study:
- To theoretically investigate the spreading of Ostwald-de Waele non-Newtonian liquid drops on horizontal solid substrates.
- To derive spreading laws for both gravitational and capillary regimes.
- To analyze the self-similar solutions governing the evolution of spreading drops.
Main Methods:
- Theoretical investigation of fluid dynamics.
- Derivation of an evolution equation for drop shape.
- Analysis of self-similar solutions for spreading dynamics.
- Consideration of complete wetting and small dynamic contact angles.
Main Results:
- Obtained self-similar solutions for the drop evolution equation.
- Derived distinct spreading laws for gravitational and capillary regimes.
- Provided the spreading profile of the drop in the gravitational regime.
- Confirmed the applicability of the theoretical model to non-Newtonian fluid spreading.
Conclusions:
- The study provides a theoretical framework for understanding non-Newtonian liquid spreading.
- Self-similar solutions offer valuable insights into the dynamics of spreading drops.
- The derived spreading laws are applicable to both gravitational and capillary dominated scenarios.