Please explain it in a step by step way in a very easy to ynderstand language along with the meaning of every symbols and notations $!$

Q$\mathrm{.}7.15$ The following flow field satisfies the continuity equation everywhere

except at $R=0$ where a singularity exists: except at $R=0$ where a singularity exists:

$u_R=-aR$

$u_{}=\frac{k}{R}$

$u_z=2az$

Show that this flow field also satisfies the Navier stokes Show that this flow field also satisties the

Equations everywhere except at $R=0,$ and find the pressure

distribution in the flow field.

Modify the foregoing expressions to the following:

$u_R=-aR$

$u_{}=\frac{k}{R}f(R)$

$u_z=2az$

Determine the function $f(R)$ such that the modified expression satisfies the governing equations for a viscous, incompressible fluid and such that the original flow field is recovered for $R.$