Applied Fluid Mechanics
Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 16, Problem 16.24PP

A set of louvers deflects a stream of warm air onto painted parts, as illustrated in Fig. 16.21. The louvers are rotated slowly to distribute the air evenly over the parts. Compute the torque required to rotate the louvers toward the stream of air when it is flowing at a velocity of 10 ft/s. Assume that all the air that approaches a given louver is deflected to the angle of the louver. The air has a density of 2.06   *   10 3 s l u g s / f t 3 . Use 6   =   45 ° .

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Temperature (°C) 100 4. Consider the solidification of a binary Pb-10%Sn alloy. Assume that during solidification, there is complete mixing in the liquid and no diffusion in the solid. Use the phase diagram below to answer the following question. (a) Draw (on the phase diagram) the compositions of the liquid and the solid at the interface as a function of temperature during solidification. (b) Illustrate on the phase diagram how one would calculate the volume fraction solidified at a given temperature. (c) (d) Indicate the temperature at which solidification is complete. Do you expect ẞ to be present in the as-cast microstructure? Explain 300 327°C 200 a (Pb) 20 20 a + L 18.3 183°C α + β 40 60 Composition (wt% Sn) Liquid 600 500 232°C B+L 400 B 61.9 97.8 300 808 100 (Sn) 200 100 Temperature (°F)
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y(0)=1, Using Laplace transforms solve the following differential equations : 11) y"-4y+4y=0, 12) y+2y+2y=0, y(0)=2.1, y'(0) = 3.9 y'(0)=-3. 13) y+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) +9y=10e. y(0)=0, y'(0) = 0. 15) y+3y+2.25y=91³ +64, y(0)=1, y'(0) = 31.5 16) -6y+5y= 29 cos(21), y(0)=3.2, y'(0)=6.2 17) "+2y+2y=0, y(0)=0, y'(0)=1. 18) +2y+17y=0, y(0)=0, y'(0)=12. 19) y-4y+5y=0, y(0)=1, y'(0) = 2. 20) 9y-6y+y=0, y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3.

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