Consider the two-dimensional flow field in which u=Ax2 and υ=Bxy, where A=1=2 ft−1 s−1, B= −1 ft−1 s−1, and the coordinates are measured in feet. Show that the velocity field represents a possible incompressible flow. Determine the rotation at point ðx, yÞ=ð1,1Þ. Evaluate the circulation about the "curve" bounded by y=0, x=1, y=1, and x=0.

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

Ajournal bearing has a journal diameter of 3.250 in with a unilateral tolerance of 20.003 in. the bushing bore has a diameter of 3.256 in and a unilateral tolerance of 0.004 in. the bushing is 2.8 in long and supports a 700-lbf load. the journal speed is 900 rev/min. find the minimum oil film thickness and the maximum film pressure for both sae 20 and sae 20w-30 lubricants, for the tightest assembly if the operating film temperature is 160°f. a computer code is appropriate for solving this problem.

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