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Unformatted text preview: 02/11/08 EP 471 -- Engineering Problem Solving II Exercise 6 More linear BVPs A number of physical problems we encounter have diffusive characteristics; that is, there is a tendency for some physical quantity to move down a gradient. This is the case in conduction heat transfer and neutron diffusion through media, to name just two applications. It is also often the case that these equations are linear, which means we can use the bvp4c solver of Matlab or a set of linear algebraic equations based on finite differences to solve the problem. Enhanced Heat Transfer: Fins A fin is typically modeled as a device that conducts heat axially and transfers the heat to the surroundings through its side surfaces. For fins of constant cross-section, the energy balance equation produces a differential equation of the form: ) ( 2 2 = f T T kA hC dx T d where T is the local temperature, x is the distance from the base of the fin, h is the local heat transfer coefficient, C is the circumference of the fin,...
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- Spring '08