Puestion 4-8 Ques
The velocity components for a flow of an incompressible fluid are given by the following
equations:
u=kx (y + z);
v=ky (x + z);
w=-k z(x + y)- z^.
• Determine the value of “k” in order to have a physically possible flow.
• Determine if the flow is steady or not (use the value of “K”, obtained in the first part).
• Determine if the flow is uniform or not (use the value of “K”, obtained in the first part).
• Determine if the flow is rotational or not (use the value of “k”, obtained in the first part). If it
is a rotational flow, compute the magnitude of rotations at a point A which has the following
coordinates: x=1, y=1, z=1.

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?