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A filter is fitted to a horizontal, cylindrical pipe with a diameter of 0.1m and consists of twenty radial struts. The struts are thin

 

A filter is fitted to a horizontal, cylindrical pipe with a diameter of 0.1m and consists of twenty radial struts. The struts are thin plates orientated in the same direction as that of the flow and have width of L-0.01m in that direction. The fluid flow is viscously dominated and the fluid is an oil with a density 900kg/m and viscosity 6.2kg/ms. The volumetric flow rate is 6.510-4m/s. The drag coefficient for the flow of a viscously dominated flow over a flat plate is D D/20UA Re L C 1.328 1/2 where D is the drag force, A is the area of the plate, U is the mean flow velocity, and ReL is the Reynolds number based on the mean velocity and the width of the plate L. What is the overall force on the filter? ? You can ignore any interactions between the flow fields around the individual struts. Your answer should be in Newtons to two decimal places.

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