Engineering >> Civil & Environmental EngineeringFinding The Zeros of Transcendental Equations Using a Fixed Point Iteration Methodby Arjun Gajjar
Submitted : Fall 2015 Future civil engineering courses, like thermodynamics and fluid mechanics, will ask students to solve heat transfer equations. Therefore it is important to have a basic understanding of how different forms of mathematics can be used to solve certain parts of thermodynamics problems. For example, when solving a quenching problem where a cylinder is quenched in a liquid, first the zeros of the Bessel function are needed to define the Eigenvalues and Eigenfunctions for the problem. The Eigenvalues and Eigenfunctions are then used along with a Fourier series representation to write the equation that shows heat transfer throughout cylindrical coordinates.
