The velocity profile for a steady laminar flow in a circularpipe of radius R is given byu=u0(1−r2R2) . If the fluiddensity varies with radial distance r from the centerlineas Ï=Ï0(1+rR)14 , whereÏ0 is the fluid density at the pipe center,obtain and choose the correct relation for the bulk fluid densityin the tube.
