(Solved): A two-dimensional flow in a channel that expands about the x-axis is represented by the field of s ...

A two-dimensional flow in a channel that expands about the x-axis is represented by the field of
speeds

where q is a constant with units of flow per unit length and h(x) is the width of the channel as a function of
of the x coordinate.  If the channel opens steadily following the expression h = ?x where ? is a
dimensionless positive constant, determine:
a)  Flow lines.
b)  The vorticity.
c) All components of the strain rate tensor.
d) ) The lines where the xy components of the strain rate tensor vanish (if they exist).