ENGG 2230 Lecture Notes - Lecture 15: Flow Separation, Turbulence, Boundary Layer Thickness

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Turbulent flat plate flow and drag on immersed bodies. Bounding layer depth: (cid:4666)(cid:3048)(cid:4667)(cid:3047)(cid:3048)(cid:3045)(cid:3029)=(cid:4672)(cid:3052)(cid:3083)(cid:4673)(cid:3117)(cid:3123, =(cid:2875)(cid:3083)(cid:2875)(cid:2870, (cid:3083)(cid:3051)= (cid:2868). (cid:2869)(cid:2874) (cid:4666)(cid:3032)(cid:4667)(cid:3117)(cid:3123, (cid:3033)= (cid:2868). (cid:2868)(cid:2870)(cid:2875) (cid:4666)(cid:3032)(cid:4667)(cid:3117)(cid:3123, = (cid:2868). (cid:2868)(cid:2871)(cid:2869) (cid:4666)(cid:3032)(cid:4667)(cid:3117)(cid:3123, =(cid:2869)(cid:2876, =(cid:3083) = (cid:3117)(cid:3124)(cid:3123)(cid:3123)(cid:3118)=(cid:883). (cid:885, (cid:3033)=(cid:4672)(cid:884). (cid:890)(cid:889)+(cid:883). (cid:887)(cid:890)log(cid:4672)(cid:3051)(cid:3084)(cid:4673)(cid:4673) (cid:2870). (cid:2873, =(cid:4672)(cid:883). (cid:890)(cid:891)+(cid:883). (cid:888)(cid:884)log(cid:4672)(cid:3084)(cid:4673)(cid:4673) (cid:2870). (cid:2873) For rough plates in the fully rough regime. Force along body axis is drag, moment about body axis is the rolling moment. If there is a useful for(cid:272)e perpe(cid:374)di(cid:272)ular the(cid:374) it is (cid:858)lift(cid:859) (cid:449)ith the (cid:373)o(cid:373)e(cid:374)t a(cid:271)out the a(cid:454)is (cid:272)alled (cid:858)(cid:455)a(cid:449)(cid:859) The for(cid:272)e perpe(cid:374)di(cid:272)ular to drag a(cid:374)d lift is the (cid:858)slide(cid:859) for(cid:272)e (cid:449)ith the (cid:373)o(cid:373)e(cid:374)t a(cid:271)out the a(cid:454)is (cid:272)alled (cid:858)pit(cid:272)h(cid:859) The reynolds number is based on the free stream, velocity, and the characteristic length. The drag coefficient is defined by the characteristic area: (cid:1857)=(cid:3049, = (cid:3045)(cid:3028)(cid:3034) (cid:4672)(cid:3117)(cid:3118)(cid:4673)(cid:3049)(cid:3118, types of area, fronted area, area seen from the free stream (cars, missiles, platform area, area seen from above (airplane wings, wetted area, ships.

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