DO IT AS SOON AS POSSIBLE

2. Capillary rise time: Consider the problem of a meniscus rising in a vertical tube due to surface tension. The dimensionless differential equation for the position of meniscus (height) as a function of time, and it's solution at small and large times were discussed in the class. Compute the solution (meniscus height vs time) that is applicable for all times by solving the dimensionless differential equation numerically (e.g. using Matlab) or analytically, and compare your solution with the small and large time solutions obtained in the class. Compare your results by plotting height vs time for the full solution (applicable for all times), and the short and long time solutions on the same graph. Comment on your results