CHEN 3005 Lecture 16: Recitation 10212014.pdf
25 Dec 2014
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Chen transport page 2 in out we went directly to this eqn in lecture but it comes from the above thing. Fourier"s law: in cartesian coordinates this term is different in different coordinate systems. Chen transport page 3 k = thermal conductivity. Boundary condition: as r = 0, t = finite ==> c1 = 0. Newton relates t difference to heat flux h [=] w/(m2k) (different from k units b/c gradient and difference are not the same) Chen transport page 4 h [=] w/(m2k) (different from k units b/c gradient and difference are not the same) you get this from the first integration if you rearrange it from bc 2. Chen transport page 5 h = heat transfer coefficient the n. q term is same for any coordinates, but will have to change areas/volumes. T(x) max t not in middle of channel contributes to the friction viscous heat flux work = force * velocity.
