Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid 2 is connected to point 1 and 2. The specific weights for Fluid 1 and 2 are   and , respectively. Select the correct expression.___________

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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Question
  1. Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid 2 is connected to point 1 and 2. The specific weights for Fluid 1 and 2 are   and , respectively.

    Select the correct expression.___________




     
     

      A.

     

      B.

     

      C.

     

      D.

    p1 = p2

Shown in the figure, Fluid 1 is flowing in a horizontal tube, and a U-tube manometer containing Fluid 2 is connected to points 1 and 2. The specific weights for Fluid 1 and 2 are \(\gamma_1\) and \(\gamma_2\), respectively.

Select the correct expression. 

**Diagram Explanation:**
- The horizontal tube is shown with Fluid 1 flowing through it with a velocity \(V\).
- Two points are marked: Point 1 on the left side of the tube and Point 2 on the right.
- A U-tube manometer, partially filled with Fluid 2, is connected to the tube at these points.
- The heights \(h_1\) and \(h_2\) in the manometer represent the levels of Fluid 2.

**Options:**
- A. \( p_1 + (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \)

- B. \( p_1 + \gamma_1 \frac{h_2 - h_1}{2} = p_2 \)

- C. \( p_1 - (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \)

- D. \( p_1 = p_2 \)
Transcribed Image Text:Shown in the figure, Fluid 1 is flowing in a horizontal tube, and a U-tube manometer containing Fluid 2 is connected to points 1 and 2. The specific weights for Fluid 1 and 2 are \(\gamma_1\) and \(\gamma_2\), respectively. Select the correct expression. **Diagram Explanation:** - The horizontal tube is shown with Fluid 1 flowing through it with a velocity \(V\). - Two points are marked: Point 1 on the left side of the tube and Point 2 on the right. - A U-tube manometer, partially filled with Fluid 2, is connected to the tube at these points. - The heights \(h_1\) and \(h_2\) in the manometer represent the levels of Fluid 2. **Options:** - A. \( p_1 + (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \) - B. \( p_1 + \gamma_1 \frac{h_2 - h_1}{2} = p_2 \) - C. \( p_1 - (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \) - D. \( p_1 = p_2 \)
Expert Solution
Step 1

According to hydrostatic law, the pressure at any location fluid inside a static fluid is the product of the depth of the fluid with specific weight of that fluid.

P=γh

Here, P is the pressure, h is the depth of the required point inside the fluid and γ is the specific weight of the fluid.

 

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