03:- X Prob. - Consider the flow-field u=* , v=v, w=0. Find: t+to (1) Streamline: equation of a streamline passing through a point (Xo, yo, ) at time t=1, (the subscript 'O' is used symbolically and doesn't necessary mean the values are zero) (ii) Streakline: Equation of a coloured line at time t = 2t,, that is visible as a consequence of dye injection at (x,y,z), starting from t = t, and continuing till t = 1 = 2t (iii) Pathline: Locus of a fluid particle that is at (x,, Yo,zo) at time t = to