CHEN 3201 Lecture Notes - Lecture 41: Thermal Radiation, Finite Element Method, Heat Transfer Coefficient
23 Apr 2015
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The auxillary information needed to solve the problem is at different values of x. for ivp, it was just 1 spot so could just integrate in 1 direction. Different types of bc: dirichelet: fix the value of y, neumann: fix the value of, robin: fix the value of. Chemical engineering examples diffusion with sources (don"t just do both 1 and 2 separatelyit"s a combo of them) r(c) = rxn term that depends on concentration (production) the production terms (r and q) can be nonlinear. Radiative heat transfer the production terms can introduce coupling. Bc conditions: fixed t or c, fixed flux, heat transfer coefficient or surface reaction (these are types of robin problems) we"re not doing anything w/ convection one method to solve this. Finite differences other methods: finite element, finite volume, spectral: discretize the domain have x on left and rightfind value in between it each point (tick mark) is a nodewe are doing discreet points, not continuous.
