fluids01 - Water ( = 1000 kg/m3 , = 106 m2 /s) ows along a...

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Water ( ½ = 1000 kg/m 3 , º = 10 ¡ 6 m 2 /s) °ows along a pipe with a radius R of 10 cm and a length of 5 m. The velocity of water at the centerline is measured as U cl = 0 : 35 m/s and the velocity pro¯le in the pipe is u U cl = 1 ¡ ³ r R ´ 8 Find the size and direction of the shear stress exerted by the water on the pipe wall and the shear stress exerted by the pipe wall on the water. Find also the shear force exerted by the °uid on the wall.
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A shear-thinning polymer that is described by the constitutive rela- tionship ¿ = k μ du dy 0 : 8 (where k = 5 £ 10 ¡ 3 kg/m/s 1 : 2 ) °ows along a pipe with a radius R of 10 cm and a length of 5 m. The velocity of water at the centerline is measured as U cl = 0 : 35 m/s and the velocity pro¯le in the pipe is u U cl = 1
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fluids01 - Water ( = 1000 kg/m3 , = 106 m2 /s) ows along a...

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