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6_95 - 5.9.5 A viseoua fluid(specific weight = 80 Ibfflj...

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Unformatted text preview: 5.9.5 A viseoua fluid (specific weight = 80 Ibfflj; viscos- ity = DDS 1h - sift?) is contained between two infinite, hori- zontal parallel plates as shown in Fig. P6.?§.The fluid mow-ea batween the plates under the action of a pressure gradient. and the upper plate moves with a velocity U while the bottom plate is fixed. A U-tube nanometer connected between two points along the bottom indicates a differential reading of (11 in. If the upper plate moves with a velocityr of 0.02 t‘tf'a, at what distance from the bottom plate does the maximum Vetoeity in the gap between the two plates occur? Assume laminar flow. U a: 0.02 We = .3 .i a 2 M U 5 + 1/1.; 3E)(j -£3) (E? Live?) Maxrmum Vt‘t'ocro‘y tiff} ecern- of deflate I?“ where 3:5. I 771mJ do . U _+ a “3‘ a a"; (gm-n ann’ 1-5:- H .. F0 «1' *- T + ._ “J 9'" 43$] ‘1' anr manometer (an {were £1: ”4th i‘_£ “'1 er ( it‘ll“ it! "a; W = lit. __ Q {Milt (ma-It: SDH3)(tzin- )= prl Te 5 1: °’ _a__ he : omit: = “we 5): T (‘ (pith) * 'F'ts t2. rim 1'} Thus) ‘F‘P'Dm £13,”? I If. I. ._ (0.031%)(0'02‘?) mph-1.” LJm-I— _—_—-—-_—lor' H» + i . 11- 11.131.- )(w-ai‘ii?!) 2' -F-t': = metal {:75 ($1) = £3.75? in. t ‘_,___._—_ ...
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