Question

Consider a two-dimensional, fully-developed, steady viscous flow of water through a duct of constant one-centimeter width in the y-direction. There is no pressure variation through the flow but the water flows in the positive x-direction, which is the direction of the gravity force. $y = 0 and gx = g. (a) Using the continuity and momentum equations, determine the magnitude of the v component of velocity and develop the ordinary differential equation that governs the u component of velocity. (b) Solve the ordinary differential equation stating the correct boundary conditions. Give the maximum value of that component velocity and its location. (c) What is the magnitude of the mass flow rate (kg/s) through the duct? Use blank space on Pages 3, 4, 5 for work on Problem 1. X D=1 cm 9

Answer 1

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