MCG 3341 Lecture Notes - Lecture 14: Momentum, Material Derivative, Cartesian Coordinate System

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Equation sheet for the nal exam of mcg 3341/3741. = ~ p + ~ ~~ + ~g. X(cid:19) , xz = zx = (cid:18) u. X(cid:19) , yz = zy = (cid:18) v. Conservation of linear momentum for constant viscosity: x-component : U ur r (cid:19) , zz = 2 . Conservation of linear momentum for constant viscosity: r-component: (rur) + Blasius solution for a laminar boundary layer over a at plate. Drag force fd on a rectangular plate: x. Rel with the reynolds number rex based on the characteristic distance x given by. L(cid:17)(cid:17) 2/5 transition with rex 5 105. 0 g(1 g)d , c2 = dg d (cid:12)(cid:12)(cid:12)(cid:12) =0. Doublet: u = u q ur = ur = ur = 0. 2 r ur = r2 cos v = 0 u = 0 u = 0 u = u = . 2 r ln r sin ln r. ~u ~u + gz = const. cd =

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