Verification of Computational Methods of Modeling Evaporative Drops By Abraham Rosales Andrew Christian Jason Ju
Abstract This project presents theoretical, computational, and experimental aspects of mass-loss of fluid drops due to evaporation.
Overview Applications Experimental Setups and Procedures Experimental Results Derivation of Methodology Numerical Results Discussion of Disparities
Evaporation Process
Applications Manufacturing computer chips –Influence conductivity of electrons Lubrication or cleaning of machinery –Duration of the fluid Printing process –Spreading and drying time.
Experimental Setup
software
Video of 100% IPA Evaporation
Experimental Results for 100% Isopropyl Alcohol
Video of Water Evaporation
Experimental Results for Water
Experimentally Determined Evaporation Constant
Conceptual and Theoretical Derivations
Reduce Navier stokes equation (lubrication approximation) Re << 1, ignore inertia term Incompressible fluid. For detail derivations see (instabilities in Gravity driven flow of thin fluid films by professor Kondic)
Conceptual and Theoretical Derivations
Derivations: Van Der Waal Forces
Van Der Waal Approximation: Lennard Jones Potential In our use:
Derivations: Evaporation
Numerical Scheme: Forward Time, Central Space
Numerical Scheme: All Together + CoOrdinate Foolishness
Results: 100% Alcohol
Disparities:
Results: 100% Alcohol
Disparities:
Water Issues:
Mixology Issues:
Conclusion Mass loss fits for fluids which behave within lubrication approximation. Surface tension term keeps area similar regardless of intermolecular forces. Things not within approximation: Combinations of liquids High contact angles
Questions and Answers