Question

4. The inviscid potential flow solution for flow down against a horizontal flat plate is given by Axy·If the speed and pressure at (xy)-(0,2) are given as Vo and Po , determine: (a) the value of A ; (b) the fluid speed ratio V/Vo and AP-(P- Po) at the points (0,0); (2,0) ; and (2,2) ; (c) The total downward force per unit width on the plate between (xy) (-2, 0) and (+2, 0)? ; (d) for a fluid particle passing thru (2,2) what would be its coordinates after a flow time oft 4 sec? Express all answers in terms of only p. Vo and Po Neglect viscosity and gravity. Approx Ans: (a) A-0.6 Vo ; (b) at (2,2): V/Vo 1.7; (c)F 3Po+ 15 pVo; (d) x~3 e2V0

Answer 1