CHEN 3005 Lecture Notes - Lecture 1: Body Force, Verb
25 Dec 2014
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Document Summary
Flow of a film on a vertical surface air water what is velocity profile in the film? z points down so gravity is positive. Conservation of mass pick up small imaginary box of the liquid (more like a tube coming out of the page, but no interest in y) Chen transport page 1 what is the mass in this box: density of liquid*volume. Area of face: x y write out mass conservation: just added 2 terms. Conservation of momentum (similar to conservation of mass) what"s the momentum of the box? (mass * velocity) ( x y z)v. Chen transport page 3 this needs force to happen f = ma ---> need to account for how much force? (2 forces, surface + body) V(n. v)can"t solve squared term, so we will solve by canceling out squared term top surface: since now will end up w/ + sign bottom: surface force (shear stress pressure)
