申論題

4. (25%) As shown in the figure below, a two-dimensional (2D) viscous fluid with the flow rate Q is injected into a 2D T-junction with asymmetric cross-sectional widths, W and 2W for the left and right branches, respectively. Both of the two branches bave the same length and are opened to the air at the downstream ends. In this figure, points A and C are both far away downstream from the junction B, such that flows are fully developed.

(2) (5%) With fluid viscosity μ, write down the n entum cquations at points A and C.