Article

Krishna Poddar, Chinmaya International Residential School

In this research I ventured to find a relation between the eccentricity of an elliptical droplet with the force it experiences on a polymer. All model of finding the force on a polymer assumed the force will be distributed equally across the polymer. However, in reality such idealistic situations are rare. Thus through this exploration a new method could be developed to first find the areas which experienced the highest force and the highest tension and thus are susceptible to break, and to find the mechanics of the water droplet and model the uneven tension as a vector diagram. I conducted experiments to conclude that there is indeed a relation with the eccentricity of an water droplet with the force it experience and also that the major axis of the ellipse points towards the line of highest tension. These results show a very successful attempt to model such phenomenon. My results concluded that the total force can be determined with an accuracy of 2%. My final result was F=e±2% which sows the obvious and very strong relation between the force experienced by the polymer and its effect on the water droplet and how these uneven forces are able to attract the droplet in a manner which depicted the force itself. Through this exploration, a new method of finding the mid-point of the ellipse with a general equation of Ax2+Bxy+Cy2+Dx+Ey+F=0 was also discovered which indeed presented substantial results and aided the whole process as it deemed to be a simpler and easy to calculate.