Please follow the homework guidelines outlined in the syllabus.Note: This homework can not be turned in late, solutions will be released Wed. morning$\mathrm{.}1.$ An incompressible fluid of density p and viscosity y flows through a long horizontal section of a round pipe of diameterD. You would like to determine the shear stress on the walls of the tube $($w$)$ given an average velocity V$.$ Assume some constant average roughness height c along the inside wall of the pipe.$($a$)$ Choosing $,$ D$,$ and p as your repeating parameters, develop a non$-$dimensional relationship between shear stress and the other parameters.$($b$)$ Using different repeating parameters results in the following Il groups: $11,=$ Prz$,$ L$2=$ $$,$ and I$3=$ eVDthese Pi groups for the rest of the problem. If you are attempting to model the shear stress on a proposed new section of Water Tunnel #$3$ feeding New York City which must potentially supply $61\mathrm{.}83/$s of water per second. Given the future tunnel parameters given in the table, choose the experimental parameters left blank in the table to ensure similarity, $($make sure you show your work and prove that you have met the requirements for similarity. Additionally, when choosing your working fluid, clearly denote the name of the fluid and it's