Three types of fluids stack in an open tank as shown in the plot.  Select the expression of the gage pressure at location 1, P1(gage)=______       A. Patm   B. 0   C. 101.325 kPa   D. It can not be determined.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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  1. Three types of fluids stack in an open tank as shown in the plot. 

    Select the expression of the gage pressure at location 1, P1(gage)=______  



     

      A.

    Patm

      B.

    0

      C.

    101.325 kPa

      D.

    It can not be determined.

**Title:** Understanding Gage Pressure in a Multilayer Fluid System

**Image Description:**

The diagram illustrates an open tank containing three stacked layers of different fluids. The fluids are labeled as Fluid 1, Fluid 2, and Fluid 3, each with different heights denoted by \( h_1 \), \( h_2 \), and \( h_3 \), respectively. The locations marked on the diagram indicate interfaces between the fluids:

- **Location 1**: The top surface of Fluid 1.
- **Location 2**: The interface between Fluid 1 and Fluid 2.
- **Location 3**: The interface between Fluid 2 and Fluid 3.
- **Location 4**: The bottom surface of Fluid 3.

**Question:**

Select the expression of the gage pressure at location 1, \[ P1(\text{gage})= \] 

**Options:**

- A. \( P_{\text{atm}} \)
- B. 0
- C. 101.325 kPa
- D. It cannot be determined.

**Explanation:**

In this setup, since location 1 is at the open surface of the tank in contact with the atmosphere, the gage pressure at this point is zero. This is because gage pressure is measured relative to atmospheric pressure. Therefore, the correct answer is option B: 0. 

**Educational Insight:**

Understanding gage pressure is crucial in fluid mechanics as it helps determine pressure differences in fluid systems without atmospheric pressure interference, allowing for easier analysis of fluid dynamics in engineering applications.
Transcribed Image Text:**Title:** Understanding Gage Pressure in a Multilayer Fluid System **Image Description:** The diagram illustrates an open tank containing three stacked layers of different fluids. The fluids are labeled as Fluid 1, Fluid 2, and Fluid 3, each with different heights denoted by \( h_1 \), \( h_2 \), and \( h_3 \), respectively. The locations marked on the diagram indicate interfaces between the fluids: - **Location 1**: The top surface of Fluid 1. - **Location 2**: The interface between Fluid 1 and Fluid 2. - **Location 3**: The interface between Fluid 2 and Fluid 3. - **Location 4**: The bottom surface of Fluid 3. **Question:** Select the expression of the gage pressure at location 1, \[ P1(\text{gage})= \] **Options:** - A. \( P_{\text{atm}} \) - B. 0 - C. 101.325 kPa - D. It cannot be determined. **Explanation:** In this setup, since location 1 is at the open surface of the tank in contact with the atmosphere, the gage pressure at this point is zero. This is because gage pressure is measured relative to atmospheric pressure. Therefore, the correct answer is option B: 0. **Educational Insight:** Understanding gage pressure is crucial in fluid mechanics as it helps determine pressure differences in fluid systems without atmospheric pressure interference, allowing for easier analysis of fluid dynamics in engineering applications.
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