MATH 14 Lecture Notes - Lecture 16: Unit Vector, Law And Justice, Surface Integral
21 Mar 2019
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Math 14: class lecture 16: flux sect 16. 6: flux of a vector field, f , over an area. (units of flux) = (units of f ) (units of area) A. volumetric flow rate through a pipe = velocity flux cm3 sec ( cm sec. 2 cm : pipe radius r = 2 cm. Speed of liquid, v: after 1 second. ] of the sun on a solar panel. Flux is the amount of stuff going through a surface. | c unit vector perpendicular to the surface. n = Approximate the surface by flat tiles and approximate the intensity as constant of each tile. S is a 2-d object in 3-d (or 2-d). Surface integrals: definition: the flux of a vector field, f , over a surface, s, is the surface integral. We will restrict ourselves to s that are flat or parts of cylinders or spheres, since that"s what you"ll encounter in physics & engineering: laminar flow down a pipe.
