Q1) For stcady viscous flow through a circular tube, the asial velocity profile is given by u = Uo(=R* uirl LU. as shown in the figure. For laminar flow in=1/2 while for turbulent flow 1-1/7. (a) Compute the avcrage vclocity iſ the density is constant (b) Suppose the density also varies according to thc formula 1 po 1+(1 i.e. It increases from R 17.5p at the walls to at the centreline. This simulates high speed gas flow through a tube with hot walis. Compute the average density and the average product of density and velocity, and compare. (For laminar flown 1/2 and for turbulent flow 1-1/7) uso (sup)