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.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?