CHEN 3005 Lecture Notes - Lecture 16: Fax
25 Dec 2014
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4 steps here: approximate x-velocity in boundary layer (bl, use x velocity in mass balance to get y velocity in bl, do momentum balance to get shear stress ( , get equation for . Step 1: assume vx = a0 + a1y + a2y2 + a3y3 + each a coefficient has different units we"re just focusing up to cubed term, but can go on. Bc vx = 0 @ y = 0 (no slip) Bc vx = 0 @ y = 0 (no slip) we have this is because of n-s eqn for x momentum vx and vy are 0 b/c no slip boundary conditions both above conditions = @ plate. Bc 3: vx = vo @ y = . Bc 4: stress of 2 fluids @ interface = 0 on both sides of the boundary, have equal stress from bc1 => a0 = 0 from bc2.
