Short Term Analysis of Differential Equation

List of Values for non-dimensionalization

Non-dimensionalization

Multiply by :

Sub in

This implies:

 (time scale based on drag effect) 

or

 (time scale based on surface tension and gravitational force)

Initial Velocity

If we assume that , the initial velocity can be determined.

After solving for dU/dt and subbing in L and tau we get:

If we assume that , then we can rewrite the differential equation as:

, for  where

We want to know if  is small to determine if we can neglect the viscous force for small time:

Experiments Corresponding to Equations

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