5.32 the velocity field within a laminar boundary layer is approximated by the expression v! = auy x1=2 ^i+ auy2 4x3=2 ^j in this expression, a=141 m−1=2, and u =0: 240 m=s is the freestream velocity. show that this velocity field represents a possible incompressible flow. calculate the acceleration of a fluid particle at point ðx, yþ =ð0: 5m, 5mmþ. determine the slope of the streamline through the point.

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Apiston-cylinder device contains 0.1 m3 of liquid water and 0.9 m3 of water vapor in equilibrium at 800 kpa. heat is transferred at constant pressure until the temperature of water reaches 350 °c. determine (a) the quality of water at the initial state (b) the work associated with this process, (c) the heat associated with this process.