One reason why we study transport phenomena is to gain a better understanding of how to analyze flows in non-traditional systems. An example of this is the flow of chocolate in a chocolate fountain. In this party center piece, the velocity of liquid chocolate has to be slow enough to appear smooth over the fountain's surfaces while providing a conformal coating over them but the velocity needs to be fast enough to prevent the chocolate from freezing onto those same surfaces. To find this perfect point, we need to analyze both the equations of motion as well as the equations of energy. For this exam, we will focus on the equation of motion. Let's start with a hemisphere that is 10 cm in diameter. There is a hole at the apex of the sphere through which the chocolate will be pumped up. This hole takes up the first 2 of the hemisphere. The pump provides enough head to get the chocolate to the top of the hemisphere where it will begin flowing over the sphere with a maximum velocity of v0. We want the chocolate to have a thickness of to ensure an appealing appearance. Using the equations of