c) Flow in the concentric annulus with stationary inner and outer pipes (Fig. 3). R₂ R₁

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Write the boundary condition for the flow

### Flow in a Concentric Annulus with Stationary Inner and Outer Pipes

**Figure 3 Description:**

The diagram illustrates fluid flow in a concentric annulus setup where both the inner and outer pipes are stationary. 

- **Inner and Outer Pipes:** The image shows two cylindrical pipes, one placed within the other, creating an annular region between them.
- **Radii Indication:**
  - \( R_1 \): The radius of the inner pipe.
  - \( R_2 \): The radius of the outer pipe.
  - \( r \): Represents the radius at any arbitrary point within the flow.
- **Flow Direction:** Indicated by blue arrows, showing the fluid moving parallel to the axis of the pipes through the annular space.

This configuration is commonly studied in fluid dynamics to understand how fluids behave when constrained within such geometries, often important in engineering applications like heat exchangers.
Transcribed Image Text:### Flow in a Concentric Annulus with Stationary Inner and Outer Pipes **Figure 3 Description:** The diagram illustrates fluid flow in a concentric annulus setup where both the inner and outer pipes are stationary. - **Inner and Outer Pipes:** The image shows two cylindrical pipes, one placed within the other, creating an annular region between them. - **Radii Indication:** - \( R_1 \): The radius of the inner pipe. - \( R_2 \): The radius of the outer pipe. - \( r \): Represents the radius at any arbitrary point within the flow. - **Flow Direction:** Indicated by blue arrows, showing the fluid moving parallel to the axis of the pipes through the annular space. This configuration is commonly studied in fluid dynamics to understand how fluids behave when constrained within such geometries, often important in engineering applications like heat exchangers.
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