Answered: Problem 1: Write the boundary…

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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$**Problem 1:** Write the boundary conditions for the following flows: a) Flow between parallel plates (Fig. 1) without a pressure gradient. The upper plate is moving with velocity $ V $. **Figure 1 Explanation:** The diagram illustrates a flow situation between two parallel plates. The following elements are shown: - **Upper Plate:** Located at $ y = +h $, and it is moving horizontally to the right with velocity $ V $. - **Lower Plate:** Positioned at $ y = -h $, and it is fixed, meaning it does not move. - **Velocity Profile $ u(y) $:** A linear velocity profile is depicted between the plates, indicating how the fluid velocity changes with the vertical position $ y $. - **Coordinate System:** Includes a horizontal axis $ x $ and a vertical axis $ y $. The diagram visually represents the condition where the flow is driven only by the movement of the upper plate, as there is no pressure gradient applied.$

Transcribed Image Text:**Problem 1:** Write the boundary conditions for the following flows: a) Flow between parallel plates (Fig. 1) without a pressure gradient. The upper plate is moving with velocity $ V $. **Figure 1 Explanation:** The diagram illustrates a flow situation between two parallel plates. The following elements are shown: - **Upper Plate:** Located at $ y = +h $, and it is moving horizontally to the right with velocity $ V $. - **Lower Plate:** Positioned at $ y = -h $, and it is fixed, meaning it does not move. - **Velocity Profile $ u(y) $:** A linear velocity profile is depicted between the plates, indicating how the fluid velocity changes with the vertical position $ y $. - **Coordinate System:** Includes a horizontal axis $ x $ and a vertical axis $ y $. The diagram visually represents the condition where the flow is driven only by the movement of the upper plate, as there is no pressure gradient applied.

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