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E. An estimate of the viscous shear layer thickness is the distance y where viscous effects have dropped to 1% of the wall value, or
E. An estimate of the viscous shear layer thickness is the distance y where viscous effects have dropped to 1% of the wall value, or for this problem, u/Up ) 0.01. Show that -C (v tys and give the value of C for this impulsive plate problem, which indicates how the viscous effects diffuse or penetrate into the fluid. Using t x/U, compare with the exact Blasius flat plate result (eq'n 9.15 or on TED), for the boundary layer thickness. F. Using your results above and looking up erfc(x) as needed, if the fluid is water and Up 4 m/s, compute for t-60 sec: (a) the viscous shear thickness ; (b) the flow speed u at y-62 ; (c) the magnitude of the shear stress w at the plate Approx. Ans: A-C : see attached; (D) ~ 0.4 Up (Up/w)12, exact gives 0.332; (E) C-3 ; exact BL on flat plate gives C-5 ; (F) (a) ~ 3 cm ; (b) u(82) ~ 0.9 m/s (c) twall~ 0.35 N/m
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