This project is associated with the paper published in JFM: Marangoni circulation by UV light modulation on sessile drop for particle agglomeration.
This project is used to calculate the Marangoni flow stream function in a spherical cap droplet of various contact angle based on Stokes flow assumption. The codes are packed into 4 parts, GaussianAndStep, Concentric, MultipleGaussian and Plot. For GaussianAndStep, Concentric and MultipleGaussian folders, their difference are in file N2.m, which is the function discribing different surface tension boundary conditions and the main code is GaussianTensionStreamFunction.m for all 3 folders. The Plot folder contains the codes used to plot the streamlines after finding the stream function field.
The codes in GaussianAndStep folder are used to find stream function field for a Gaussian surface tension distribution or a step function surface tension distribution as shown below.
The codes in Concentric folder are used to find stream function field for a concentric surface tension distribution as shown below.
The codes in MultipleGuassian folder are used to find stream function field for multiple Gaussian surface tension distribution as shown below.
This folder contains 2 codes for ploting streamlines. StreamFunctionPlot.m create a draft plot for adjusting the contour value list and StreamFunctionPlot_Final.m plots the refined contour. A sample result is also included in this folder as StreamFunction_b37.8_s200_p0.2_t900.mat for checking these plot codes.