$(10$ points$)$ Drag tests show that the drag of a square plate placed normal to the freestream velocity is a function of the velocity $V,$ the density $,$ the plate dimensions $B,$ the viscosity $,$ the free$-$stream turbulence root mean square velocity $u_{rms},$ and the turbulence length scale $L_x.$ Here $u_{rms}$ and $L_x$ are in $f\frac{t}{s}$ and ft $,$ respectively. By dimensional analysis, develop the $-$groups that could be used to correlate the experimental results. Express your answer in the functional form

$\frac{F_D}{V^2{B}^2}=f({}_1,{}_2,{}_3)$