advertisement

ME3834 ‐ Fluid Mechanics Problem 2.9 Given: Steady incompressible flow in x-y plane with Velocity field , with = and where A = 2 m/s2 and co-ordinates are in meters. Find: (a) Equation for streamline through (x, y) = (1m, 3m) (b) Time required for fluid particle to move from x = 1 m to x = 3 m. Solution: ) streamline Computing equations: Substituting the value of ln Integrating ; and we get: ln C , so ln ln C C or, For the point ( , 1,3 , C Thus the equation is 1/3 y/3 -------------------------------------------- (a) For a particle, Adt or At Integrating, so, Therefore time required for fluid particle to move from x = 1 m to x = 3 m is – / 2 ------------------------------------------ (b) 1