Answered: Air flows steadily into the square…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Air flows steadily into the square inlet of an air scoop with the non-uniform velocity profile as shown in the figure. Theair exits with a uniform velocitythrough a round pipe1-ft in diameter.Finda) the outlet/exit velocity and b) momentum flux (in vector form) at the pipe outlet. Assume air to be incompressible for this flow.γair= 0.0765 lbf/ft3.

Transcribed Image Text:The image illustrates a fluid flow system consisting of an inlet, a curved passage, and an outlet. Here's a detailed explanation: 1. **Flow Diagram:** - The flow enters through a **2 ft x 2 ft square inlet**. The inlet is perpendicular to the direction of the flow, with specified dimensions on the x and y axes. - The fluid then travels through a curved passage, gaining velocity as indicated by the streamline direction. - The velocity of the fluid is marked as **V = 50 ft/s** at the inlet, where the fluid flow is shown by parallel lines indicating consistent flow velocity. 2. **Outlet Information:** - The outlet is a **1-ft-diameter circular opening**, where the fluid exits the system. - The outlet is oriented at a **30-degree angle** downward relative to the horizontal axis, likely affecting the exit trajectory of the fluid. 3. **Scoop Geometry:** - Below the main diagram, there is a depiction of "Scoop Geometry," showing a side profile of the passage from the inlet to the outlet. - This view emphasizes the transition from the square inlet to the circular outlet, detailing how the channel contours, likely influencing fluid characteristics like velocity and pressure. This flow system could be analyzed for various educational purposes such as fluid dynamics, focusing on velocity calculations, flow rate, and the effects of changes in cross-sectional area on fluid behavior.

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