Oil (SG = 0.89) enters at section 1 in Fig. P3.20 at a weight flow of 250 N/h to lubricate a thrust bearing. The steady oil flow exits radially through the narrow clearance between thrust plates. Compute (a) the outlet volume flow in mL/s and (b) the average outlet velocity in cm/s. %3D

Elements Of Electromagnetics
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Fluid mechanics question

### Fluid Dynamics: Problem Analysis

**Problem P3.20**

This diagram represents a fluid flow system between two plates, illustrating a specific geometry and dimensions for analysis. Below is a detailed explanation of the system components:

#### System Description:
- **Flow System Configuration**: The system consists of two horizontal plates with fluid flowing between them. 
- **Vertical Dimensions**:
  - The **height (h)** between the two plates is \( h = 2 \ \text{mm} \).
- **Horizontal Dimensions**:
  - The **width (D)** of the system is \( D = 10 \ \text{cm} \).
  - The **width (D_1)** of the narrow section is \( D_1 = 3 \ \text{mm} \).
- **Flow Direction**: 
  - The fluid enters the system vertically upwards (indicated by a blue arrow pointing up) and then splits to flow horizontally to both sides (indicated by blue arrows pointing left and right).

#### Key Points:
1. **Measurement Points**:
   - **Position 1**: This position is marked on the narrow section where the fluid enters the system.
   - **Position 2**: These positions are marked on both sides where the fluid exits horizontally.

2. **Flow Characteristics**:
   - The diagram shows the fluid entering from below at Position 1 and then splitting to exit from Position 2 on both sides.
   - The changes in dimensions (from \( D_1 \) to \( D \)) affect the velocity and pressure distribution along the flow path.

#### Explanation of Variables:
- **\( D \)**: The total width of the horizontal segments where the fluid exits.
- **\( h \)**: The gap or height between the two horizontal plates.
- **\( D_1 \)**: The width of the narrower vertical section where the fluid enters.
  
This diagram highlights essential parameters for analyzing fluid dynamics within the system, such as pressure changes, velocity distribution, and conservation of mass. Understanding these variables is crucial for solving related fluid dynamics problems.

---

This text, suitable for an educational website, explains the diagram’s details and their implications in fluid dynamics. The detailed breakdown ensures that students can visualize and understand the problem context accurately.
Transcribed Image Text:### Fluid Dynamics: Problem Analysis **Problem P3.20** This diagram represents a fluid flow system between two plates, illustrating a specific geometry and dimensions for analysis. Below is a detailed explanation of the system components: #### System Description: - **Flow System Configuration**: The system consists of two horizontal plates with fluid flowing between them. - **Vertical Dimensions**: - The **height (h)** between the two plates is \( h = 2 \ \text{mm} \). - **Horizontal Dimensions**: - The **width (D)** of the system is \( D = 10 \ \text{cm} \). - The **width (D_1)** of the narrow section is \( D_1 = 3 \ \text{mm} \). - **Flow Direction**: - The fluid enters the system vertically upwards (indicated by a blue arrow pointing up) and then splits to flow horizontally to both sides (indicated by blue arrows pointing left and right). #### Key Points: 1. **Measurement Points**: - **Position 1**: This position is marked on the narrow section where the fluid enters the system. - **Position 2**: These positions are marked on both sides where the fluid exits horizontally. 2. **Flow Characteristics**: - The diagram shows the fluid entering from below at Position 1 and then splitting to exit from Position 2 on both sides. - The changes in dimensions (from \( D_1 \) to \( D \)) affect the velocity and pressure distribution along the flow path. #### Explanation of Variables: - **\( D \)**: The total width of the horizontal segments where the fluid exits. - **\( h \)**: The gap or height between the two horizontal plates. - **\( D_1 \)**: The width of the narrower vertical section where the fluid enters. This diagram highlights essential parameters for analyzing fluid dynamics within the system, such as pressure changes, velocity distribution, and conservation of mass. Understanding these variables is crucial for solving related fluid dynamics problems. --- This text, suitable for an educational website, explains the diagram’s details and their implications in fluid dynamics. The detailed breakdown ensures that students can visualize and understand the problem context accurately.
**Problem Statement**

Oil (SG = 0.89) enters at section 1 in Fig. P3.20 at a weight flow of 250 N/h to lubricate a thrust bearing. The steady oil flow exits radially through the narrow clearance between thrust plates. 

Compute:
(a) The outlet volume flow in mL/s.
(b) The average outlet velocity in cm/s.
Transcribed Image Text:**Problem Statement** Oil (SG = 0.89) enters at section 1 in Fig. P3.20 at a weight flow of 250 N/h to lubricate a thrust bearing. The steady oil flow exits radially through the narrow clearance between thrust plates. Compute: (a) The outlet volume flow in mL/s. (b) The average outlet velocity in cm/s.
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