4–17 Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4–17). A simple approximate velocity field for this flow is V = (u, v) (U, + bx)ỉ – byi | where U, is the...


4–17<br>Consider steady, incompressible, two-dimensional<br>flow through a converging duct (Fig. P4–17). A simple<br>approximate velocity field for this flow is<br>V = (u, v)<br>(U, + bx)ỉ – byi<br>|<br>where U, is the horizontal speed at x = 0. Note that this<br>equation ignores viscous effects along the walls but is a rea-<br>sonable approximation throughout the majority of the flow<br>field. Calculate the material acceleration for fluid particles<br>passing through this duct. Give your answer in two ways:<br>(1) as acceleration components a, and a, and (2) as accelera-<br>tion vector a.<br>y<br>Uo<br>

Extracted text: 4–17 Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4–17). A simple approximate velocity field for this flow is V = (u, v) (U, + bx)ỉ – byi | where U, is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a rea- sonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components a, and a, and (2) as accelera- tion vector a. y Uo

Jun 07, 2022
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