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Question: boundary layers over spheres 6 consider a sphere moving through...

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Boundary layers over spheres 6 Consider a sphere moving through a viscous fluid. The relationship between drag coefficient Co and Reynolds number, Re is shown in Fig Q6. For Re < 2, a good approximation for the drag-Reynolds number relationship is Stokes Law, CD 24/Re, as illustrated in the figure A dispersed cloud of spherical dust particles settles at terminal velocity through air over a vertical distance H2.5 m. Consider particles of diameter d 0.001, 0.01 and 0.1 mm with density pdust 700 kg/m3 For the three spheres, create a table listing the following: (a) terminal velocity; (b) Reynolds number, and (c) time (minutes) taken to descent H 2.5 m Data for air: viscosity, 1.8 x 10 kg/ms; density, pa 1.2 kg/m3 102 10 Circular disc Stokess law: Ellipsoid 1:0.75 CD 24/Re df Sphere Ellipsoid 1:1.8 2x10 465 1 :. 46s 10, 463 10° 2 4 6810,2 46。1042 463 10°li 4..10° 10 Effect of surface roughness or main-stream turbulence

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